Select the balanced form of the reaction (smallest whole-number coefficients):
Ca(OH)2 + HCl → CaCl2 + H2O
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Review real example questions for Balance Chemical Equations in Chemistry.
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Select the balanced form of the reaction (smallest whole-number coefficients):
Ca(OH)2 + HCl → CaCl2 + H2O
Select the balanced form of the reaction (smallest whole-number coefficients):
Ca(OH)2 + HCl → CaCl2 + H2O
Explanation: This question tests your ability to balance chemical equations by adjusting coefficients so that the number of atoms of each element is equal on both sides, reflecting the law of conservation of mass. Balancing chemical equations means finding the right coefficients (the numbers you write in front of chemical formulas) that make the atom count equal on both sides of the arrow, while NEVER changing the subscripts inside formulas (those define what the substance is—changing them creates a different substance!). The law of conservation of mass requires that atoms aren't created or destroyed in chemical reactions, only rearranged, so whatever atoms you start with (left side) must all appear in the products (right side)—same number, same types, just in different combinations. For the equation Ca(OH)2 + HCl → CaCl2 + H2O, start by counting atoms: left Ca:1, O:2, H:3 (2 from OH +1 from HCl), Cl:1; right Ca:1, Cl:2, H:2, O:1—imbalanced; balance Cl by 2HCl (left H:4, Cl:2); now H left:4 (from 2 in OH +2 in 2HCl) vs. right:2, so 2H2O (H:4, O:2); O left:2=2; Ca:1=1; final check all match. Choice A correctly balances the equation with coefficients that produce equal atom counts for all elements on both sides using smallest whole numbers: Ca(OH)2 + 2HCl → CaCl2 + 2H2O. For example, choice B fails with 1 HCl (Cl:1 left vs. 2 right, and H:3 left vs. 2 right, O:2 vs.1)—adding 2 to HCl and 2 to H2O balances it; treat (OH) as a unit if helpful but count atoms individually. The systematic balancing strategy: (1) Write the unbalanced equation with correct formulas (check subscripts are right for each substance—this part doesn't change!). (2) Count atoms of each element on both sides—make a list: 'Left: 1 Ca, 2 O, 3 H, 1 Cl. Right: 1 Ca, 2 Cl, 2 H, 1 O' (shows imbalance). (3) Balance one element at a time: Start with the most complex molecule or an element appearing once on each side, then move to others. Place coefficients (whole numbers in front) to equalize counts. (4) Recount after each coefficient change (changing one coefficient affects multiple elements if molecule has multiple atom types). (5) Final check: count ALL elements—make sure every single element balances. Use smallest whole numbers (if all coefficients divisible by 2, divide them all). Balancing tips: (1) Save oxygen for last in combustion reactions (appears in multiple products—easier to balance after everything else). (2) Keep polyatomic ions together if they don't break apart (NO3⁻ in AgNO3 → NaNO3 stays as NO3⁻ unit, balance it as a unit). (3) If you get fractions, that's OK temporarily—just multiply all coefficients by the denominator at the end to clear fractions (1/2 O2 becomes 1 O2 if you multiply by 2). (4) Check your work by counting each element separately—don't assume it's balanced until you verify every element! Balancing takes practice but gets faster with pattern recognition.
Which set of coefficients balances the equation (smallest whole numbers)?
H2O2 → H2O + O2
Explanation: This question tests your ability to balance chemical equations by adjusting coefficients so that the number of atoms of each element is equal on both sides, reflecting the law of conservation of mass. Balancing chemical equations means finding the right coefficients (the numbers you write in front of chemical formulas) that make the atom count equal on both sides of the arrow, while NEVER changing the subscripts inside formulas (those define what the substance is—changing them creates a different substance!). The law of conservation of mass requires that atoms aren't created or destroyed in chemical reactions, only rearranged, so whatever atoms you start with (left side) must all appear in the products (right side)—same number, same types, just in different combinations. For the equation H2O2 → H2O + O2, start by counting atoms: left H:2, O:2; right H:2, O:3—imbalanced in O; balance by placing 2 in front of H2O2 (left H:4, O:4) and 2 in front of H2O (right H:4, O:2 + O2's 2=4); final check: H:4=4, O:4=4. Choice B correctly balances the equation with coefficients that produce equal atom counts for all elements on both sides using smallest whole numbers: 2H2O2 → 2H2O + O2. For example, choice A fails with no coefficients (O:2 left vs. 3 right), so oxygen doesn't balance—try multiplying to even out the oxygen atoms from the peroxide. The systematic balancing strategy: (1) Write the unbalanced equation with correct formulas (check subscripts are right for each substance—this part doesn't change!). (2) Count atoms of each element on both sides—make a list: 'Left: 2 H, 2 O. Right: 2 H, 3 O' (shows imbalance). (3) Balance one element at a time: Start with the most complex molecule or an element appearing once on each side, then move to others. Place coefficients (whole numbers in front) to equalize counts. (4) Recount after each coefficient change (changing one coefficient affects multiple elements if molecule has multiple atom types). (5) Final check: count ALL elements—make sure every single element balances. Use smallest whole numbers (if all coefficients divisible by 2, divide them all). Balancing tips: (1) Save oxygen for last in combustion reactions (appears in multiple products—easier to balance after everything else). (2) Keep polyatomic ions together if they don't break apart (NO3⁻ in AgNO3 → NaNO3 stays as NO3⁻ unit, balance it as a unit). (3) If you get fractions, that's OK temporarily—just multiply all coefficients by the denominator at the end to clear fractions (1/2 O2 becomes 1 O2 if you multiply by 2). (4) Check your work by counting each element separately—don't assume it's balanced until you verify every element! Balancing takes practice but gets faster with pattern recognition.
Which represents the correctly balanced equation (smallest whole-number coefficients)?
Fe + O2 → Fe2O3
Explanation: This question tests your ability to balance chemical equations by adjusting coefficients so that the number of atoms of each element is equal on both sides, reflecting the law of conservation of mass. Balancing chemical equations means finding the right coefficients (the numbers you write in front of chemical formulas) that make the atom count equal on both sides of the arrow, while NEVER changing the subscripts inside formulas (those define what the substance is—changing them creates a different substance!). The law of conservation of mass requires that atoms aren't created or destroyed in chemical reactions, only rearranged, so whatever atoms you start with (left side) must all appear in the products (right side)—same number, same types, just in different combinations. For the equation Fe + O2 → Fe2O3, start by counting atoms: left has Fe:1, O:2; right has Fe:2, O:3—imbalanced; balance Fe by placing 2 in front of Fe2O3 (right Fe:4, O:6); now left Fe:1 (need 4, so 4Fe), O:2 (need 6, so 3O2 since 3x2=6); final check: Fe:4=4, O:6=6. Choice B correctly balances the equation with coefficients that produce equal atom counts for all elements on both sides using smallest whole numbers: 4Fe + 3O2 → 2Fe2O3. For example, choice A fails because it has 2Fe (Fe:2 left) but right Fe:2 from Fe2O3, yet O:2 left vs. O:3 right—oxygen is imbalanced; always verify all elements after adjustments. The systematic balancing strategy: (1) Write the unbalanced equation with correct formulas (check subscripts are right for each substance—this part doesn't change!). (2) Count atoms of each element on both sides—make a list: 'Left: 1 Fe, 2 O. Right: 2 Fe, 3 O' (shows imbalance). (3) Balance one element at a time: Start with the most complex molecule or an element appearing once on each side, then move to others. Place coefficients (whole numbers in front) to equalize counts. (4) Recount after each coefficient change (changing one coefficient affects multiple elements if molecule has multiple atom types). (5) Final check: count ALL elements—make sure every single element balances. Use smallest whole numbers (if all coefficients divisible by 2, divide them all). Balancing tips: (1) Save oxygen for last in combustion reactions (appears in multiple products—easier to balance after everything else). (2) Keep polyatomic ions together if they don't break apart (NO3⁻ in AgNO3 → NaNO3 stays as NO3⁻ unit, balance it as a unit). (3) If you get fractions, that's OK temporarily—just multiply all coefficients by the denominator at the end to clear fractions (1/2 O2 becomes 1 O2 if you multiply by 2). (4) Check your work by counting each element separately—don't assume it's balanced until you verify every element! Balancing takes practice but gets faster with pattern recognition.
Determine the correct coefficients to balance the equation (smallest whole numbers):
C3H8 + O2 → CO2 + H2O
Explanation: This question tests your ability to balance chemical equations by adjusting coefficients so that the number of atoms of each element is equal on both sides, reflecting the law of conservation of mass. Balancing chemical equations means finding the right coefficients (the numbers you write in front of chemical formulas) that make the atom count equal on both sides of the arrow, while NEVER changing the subscripts inside formulas (those define what the substance is—changing them creates a different substance!). The law of conservation of mass requires that atoms aren't created or destroyed in chemical reactions, only rearranged, so whatever atoms you start with (left side) must all appear in the products (right side)—same number, same types, just in different combinations. For the equation C3H8 + O2 → CO2 + H2O, start by counting atoms: left C:3, H:8, O:2; right C:1, H:2, O:3—imbalanced; balance C by 3CO2 (right C:3, O:6); H by 4H2O (right H:8, O:4 more, total O:10); now O left 2 vs. 10, so 5O2 (O:10 left); final check: C:3=3, H:8=8, O:10=10. Choice D correctly balances the equation with coefficients that produce equal atom counts for all elements on both sides using smallest whole numbers: C3H8 + 5O2 → 3CO2 + 4H2O. For example, choice A fails with 4O2 (O:8 left) but right 3CO2 (O:6) +4H2O (O:4)=O:10, so oxygen doesn't match—try saving O for last and balance C and H first. The systematic balancing strategy: (1) Write the unbalanced equation with correct formulas (check subscripts are right for each substance—this part doesn't change!). (2) Count atoms of each element on both sides—make a list: 'Left: 3 C, 8 H, 2 O. Right: 1 C, 2 H, 3 O' (shows imbalance). (3) Balance one element at a time: Start with the most complex molecule or an element appearing once on each side, then move to others. Place coefficients (whole numbers in front) to equalize counts. (4) Recount after each coefficient change (changing one coefficient affects multiple elements if molecule has multiple atom types). (5) Final check: count ALL elements—make sure every single element balances. Use smallest whole numbers (if all coefficients divisible by 2, divide them all). Balancing tips: (1) Save oxygen for last in combustion reactions (appears in multiple products—easier to balance after everything else). (2) Keep polyatomic ions together if they don't break apart (NO3⁻ in AgNO3 → NaNO3 stays as NO3⁻ unit, balance it as a unit). (3) If you get fractions, that's OK temporarily—just multiply all coefficients by the denominator at the end to clear fractions (1/2 O2 becomes 1 O2 if you multiply by 2). (4) Check your work by counting each element separately—don't assume it's balanced until you verify every element! Balancing takes practice but gets faster with pattern recognition.
Balance the chemical equation using the smallest whole-number coefficients:
Zn + HCl → ZnCl2 + H2
Explanation: This question tests your ability to balance chemical equations by adjusting coefficients so that the number of atoms of each element is equal on both sides, reflecting the law of conservation of mass. Balancing chemical equations means finding the right coefficients (the numbers you write in front of chemical formulas) that make the atom count equal on both sides of the arrow, while NEVER changing the subscripts inside formulas (those define what the substance is—changing them creates a different substance!). The law of conservation of mass requires that atoms aren't created or destroyed in chemical reactions, only rearranged, so whatever atoms you start with (left side) must all appear in the products (right side)—same number, same types, just in different combinations. For the equation Zn + HCl → ZnCl2 + H2, start by counting atoms: left Zn:1, H:1, Cl:1; right Zn:1, Cl:2, H:2—imbalanced in H and Cl; balance Cl by 2HCl (left H:2, Cl:2); now H left:2= right:2, Zn:1=1, Cl:2=2; final check all match. Choice B correctly balances the equation with coefficients that produce equal atom counts for all elements on both sides using smallest whole numbers: Zn + 2HCl → ZnCl2 + H2. For example, choice A fails with only 1 HCl (Cl:1 left vs. 2 right in ZnCl2), so chlorine is imbalanced—adding a coefficient to HCl fixes both H and Cl since they come together. The systematic balancing strategy: (1) Write the unbalanced equation with correct formulas (check subscripts are right for each substance—this part doesn't change!). (2) Count atoms of each element on both sides—make a list: 'Left: 1 Zn, 1 H, 1 Cl. Right: 1 Zn, 2 Cl, 2 H' (shows imbalance). (3) Balance one element at a time: Start with the most complex molecule or an element appearing once on each side, then move to others. Place coefficients (whole numbers in front) to equalize counts. (4) Recount after each coefficient change (changing one coefficient affects multiple elements if molecule has multiple atom types). (5) Final check: count ALL elements—make sure every single element balances. Use smallest whole numbers (if all coefficients divisible by 2, divide them all). Balancing tips: (1) Save oxygen for last in combustion reactions (appears in multiple products—easier to balance after everything else). (2) Keep polyatomic ions together if they don't break apart (NO3⁻ in AgNO3 → NaNO3 stays as NO3⁻ unit, balance it as a unit). (3) If you get fractions, that's OK temporarily—just multiply all coefficients by the denominator at the end to clear fractions (1/2 O2 becomes 1 O2 if you multiply by 2). (4) Check your work by counting each element separately—don't assume it's balanced until you verify every element! Balancing takes practice but gets faster with pattern recognition.
Balance the equation using the smallest whole-number coefficients:
H2 + O2 → H2O
Explanation: This question tests your ability to balance chemical equations by adjusting coefficients so that the number of atoms of each element is equal on both sides, reflecting the law of conservation of mass. Balancing chemical equations means finding the right coefficients (the numbers you write in front of chemical formulas) that make the atom count equal on both sides of the arrow, while NEVER changing the subscripts inside formulas (those define what the substance is—changing them creates a different substance!). The law of conservation of mass requires that atoms aren't created or destroyed in chemical reactions, only rearranged, so whatever atoms you start with (left side) must all appear in the products (right side)—same number, same types, just in different combinations. For H2 + O2 → H2O, unbalanced: left 2 H, 2 O; right 2 H, 1 O—balance O by putting 2 in front of H2O (right now 4 H, 2 O), then balance H by putting 2 in front of H2 (left 4 H), resulting in 2H2 + O2 → 2H2O. Choice A correctly balances the equation with coefficients that produce equal atom counts for all elements on both sides using smallest whole numbers: 4 H and 2 O both sides. Choice B fails because it changes the product to H2O2, which alters the reaction—stick to balancing coefficients only, not formulas. The systematic balancing strategy: (1) Write the unbalanced equation. (2) Count atoms. (3) Balance hydrogen first here, then oxygen. (4) Recount. (5) Verify all elements—keep going, you're improving with each one!
What is the coefficient of O2 when the equation is balanced with the smallest whole numbers?
Al + O2 → Al2O3
Explanation: This question tests your ability to balance chemical equations by adjusting coefficients so that the number of atoms of each element is equal on both sides, reflecting the law of conservation of mass. Balancing chemical equations means finding the right coefficients (the numbers you write in front of chemical formulas) that make the atom count equal on both sides of the arrow, while NEVER changing the subscripts inside formulas (those define what the substance is—changing them creates a different substance!). The law of conservation of mass requires that atoms aren't created or destroyed in chemical reactions, only rearranged, so whatever atoms you start with (left side) must all appear in the products (right side)—same number, same types, just in different combinations. For Al + O2 → Al2O3, unbalanced: left 1 Al, 2 O; right 2 Al, 3 O—put 2 in front of Al2O3 (4 Al, 6 O right), 4 in front of Al (4 Al left), 3 in front of O2 (6 O left), so coefficient of O2 is 3. Choice B correctly identifies the coefficient as 3, balancing to 4 Al and 6 O both sides with smallest whole numbers. Choice A with 2 would only give 4 O left for 2 O2, but right needs 6 O for 2 Al2O3—scale up to match odd oxygen. The systematic balancing strategy: (1) Write equation. (2) Count. (3) Balance Al first. (4) Recount. (5) Verify coefficient— you're mastering this!
Balance the equation using the smallest whole-number coefficients (do not change subscripts):
Na + Cl2 → NaCl
Explanation: This question tests your ability to balance chemical equations by adjusting coefficients so that the number of atoms of each element is equal on both sides, reflecting the law of conservation of mass. Balancing chemical equations means finding the right coefficients (the numbers you write in front of chemical formulas) that make the atom count equal on both sides of the arrow, while NEVER changing the subscripts inside formulas (those define what the substance is—changing them creates a different substance!). The law of conservation of mass requires that atoms aren't created or destroyed in chemical reactions, only rearranged, so whatever atoms you start with (left side) must all appear in the products (right side)—same number, same types, just in different combinations. For the equation Na + Cl2 → NaCl, start by counting atoms: left Na:1, Cl:2; right Na:1, Cl:1—imbalanced in Cl; balance Cl by 2NaCl (right Na:2, Cl:2); now Na left:1 vs. 2, so 2Na (Na:2 left); final check: Na:2=2, Cl:2=2. Choice B correctly balances the equation with coefficients that produce equal atom counts for all elements on both sides using smallest whole numbers: 2Na + Cl2 → 2NaCl. For example, choice A fails by changing the product to NaCl2 (which isn't the correct formula), remember not to alter subscripts—adjust coefficients instead to match the diatomic Cl2. The systematic balancing strategy: (1) Write the unbalanced equation with correct formulas (check subscripts are right for each substance—this part doesn't change!). (2) Count atoms of each element on both sides—make a list: 'Left: 1 Na, 2 Cl. Right: 1 Na, 1 Cl' (shows imbalance). (3) Balance one element at a time: Start with the most complex molecule or an element appearing once on each side, then move to others. Place coefficients (whole numbers in front) to equalize counts. (4) Recount after each coefficient change (changing one coefficient affects multiple elements if molecule has multiple atom types). (5) Final check: count ALL elements—make sure every single element balances. Use smallest whole numbers (if all coefficients divisible by 2, divide them all). Balancing tips: (1) Save oxygen for last in combustion reactions (appears in multiple products—easier to balance after everything else). (2) Keep polyatomic ions together if they don't break apart (NO3⁻ in AgNO3 → NaNO3 stays as NO3⁻ unit, balance it as a unit). (3) If you get fractions, that's OK temporarily—just multiply all coefficients by the denominator at the end to clear fractions (1/2 O2 becomes 1 O2 if you multiply by 2). (4) Check your work by counting each element separately—don't assume it's balanced until you verify every element! Balancing takes practice but gets faster with pattern recognition.
Balance the chemical equation using the smallest whole-number coefficients (do not change subscripts):
CH4 + O2 → CO2 + H2O
Explanation: This question tests your ability to balance chemical equations by adjusting coefficients so that the number of atoms of each element is equal on both sides, reflecting the law of conservation of mass. Balancing chemical equations means finding the right coefficients (the numbers you write in front of chemical formulas) that make the atom count equal on both sides of the arrow, while NEVER changing the subscripts inside formulas (those define what the substance is—changing them creates a different substance!). The law of conservation of mass requires that atoms aren't created or destroyed in chemical reactions, only rearranged, so whatever atoms you start with (left side) must all appear in the products (right side)—same number, same types, just in different combinations. For the equation CH4 + O2 → CO2 + H2O, start by counting atoms: left has C:1, H:4, O:2; right has C:1, H:2, O:3—imbalanced in H and O; balance C (already 1=1), then H by placing 2 in front of H2O (now right H:4, O:4 from CO2's 2 + 2H2O's 2); now O left is 2 but right 4, so place 2 in front of O2 (left O:4); final check: C:1=1, H:4=4, O:4=4. Choice B correctly balances the equation with coefficients that produce equal atom counts for all elements on both sides using smallest whole numbers: CH4 + 2O2 → CO2 + 2H2O. For example, choice A fails because it has only 1 O2 (O:2 left) but right side O:4 (from CO2 + 2H2O), so oxygen is imbalanced—remember to adjust coefficients step by step to match all elements. The systematic balancing strategy: (1) Write the unbalanced equation with correct formulas (check subscripts are right for each substance—this part doesn't change!). (2) Count atoms of each element on both sides—make a list: 'Left: 1 C, 4 H, 2 O. Right: 1 C, 2 H, 3 O' (shows imbalance). (3) Balance one element at a time: Start with the most complex molecule or an element appearing once on each side, then move to others. Place coefficients (whole numbers in front) to equalize counts. (4) Recount after each coefficient change (changing one coefficient affects multiple elements if molecule has multiple atom types). (5) Final check: count ALL elements—make sure every single element balances. Use smallest whole numbers (if all coefficients divisible by 2, divide them all). Balancing tips: (1) Save oxygen for last in combustion reactions (appears in multiple products—easier to balance after everything else). (2) Keep polyatomic ions together if they don't break apart (NO3⁻ in AgNO3 → NaNO3 stays as NO3⁻ unit, balance it as a unit). (3) If you get fractions, that's OK temporarily—just multiply all coefficients by the denominator at the end to clear fractions (1/2 O2 becomes 1 O2 if you multiply by 2). (4) Check your work by counting each element separately—don't assume it's balanced until you verify every element! Balancing takes practice but gets faster with pattern recognition.
What coefficients balance the equation using the smallest whole numbers?
KClO3 → KCl + O2
Explanation: This question tests your ability to balance chemical equations by adjusting coefficients so that the number of atoms of each element is equal on both sides, reflecting the law of conservation of mass. Balancing chemical equations means finding the right coefficients (the numbers you write in front of chemical formulas) that make the atom count equal on both sides of the arrow, while NEVER changing the subscripts inside formulas (those define what the substance is—changing them creates a different substance!). The law of conservation of mass requires that atoms aren't created or destroyed in chemical reactions, only rearranged, so whatever atoms you start with (left side) must all appear in the products (right side)—same number, same types, just in different combinations. For the equation KClO3 → KCl + O2, start by counting atoms: left K:1, Cl:1, O:3; right K:1, Cl:1, O:2—imbalanced in O; to balance O (3 is odd, 2 even), use 2KClO3 (left K:2, Cl:2, O:6) and 2KCl (right K:2, Cl:2), then O right:2 from O2? Need 6, so 3O2 (O:6); final check: K:2=2, Cl:2=2, O:6=6. Choice B correctly balances the equation with coefficients that produce equal atom counts for all elements on both sides using smallest whole numbers: 2KClO3 → 2KCl + 3O2. For example, choice A fails with no coefficients (O:3 left vs. 2 right)—multiplying by 2 and adjusting O2 to 3/2 then clearing fractions by multiplying all by 2 works, but start with even multiples for odd oxygens. The systematic balancing strategy: (1) Write the unbalanced equation with correct formulas (check subscripts are right for each substance—this part doesn't change!). (2) Count atoms of each element on both sides—make a list: 'Left: 1 K, 1 Cl, 3 O. Right: 1 K, 1 Cl, 2 O' (shows imbalance). (3) Balance one element at a time: Start with the most complex molecule or an element appearing once on each side, then move to others. Place coefficients (whole numbers in front) to equalize counts. (4) Recount after each coefficient change (changing one coefficient affects multiple elements if molecule has multiple atom types). (5) Final check: count ALL elements—make sure every single element balances. Use smallest whole numbers (if all coefficients divisible by 2, divide them all). Balancing tips: (1) Save oxygen for last in combustion reactions (appears in multiple products—easier to balance after everything else). (2) Keep polyatomic ions together if they don't break apart (NO3⁻ in AgNO3 → NaNO3 stays as NO3⁻ unit, balance it as a unit). (3) If you get fractions, that's OK temporarily—just multiply all coefficients by the denominator at the end to clear fractions (1/2 O2 becomes 1 O2 if you multiply by 2). (4) Check your work by counting each element separately—don't assume it's balanced until you verify every element! Balancing takes practice but gets faster with pattern recognition.