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Chemistry · Learn by Concept

Chemistry Help: Interpret Coefficients As Mole Ratios

Review real example questions for Interpret Coefficients As Mole Ratios in Chemistry.

Question 1 / 10

0 of 10 answered

For the synthesis of ammonia, the balanced equation is N2+3H2→2NH3\mathrm{N_2 + 3H_2 \rightarrow 2NH_3}N2​+3H2​→2NH3​. According to the coefficients, how many moles of H2\mathrm{H_2}H2​ react per 1 mole of N2\mathrm{N_2}N2​?

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Question 1

For the synthesis of ammonia, the balanced equation is N2+3H2→2NH3\mathrm{N_2 + 3H_2 \rightarrow 2NH_3}N2​+3H2​→2NH3​. According to the coefficients, how many moles of H2\mathrm{H_2}H2​ react per 1 mole of N2\mathrm{N_2}N2​?

  1. 1 mol H2\mathrm{H_2}H2​
  2. 2 mol H2\mathrm{H_2}H2​
  3. 3 mol H2\mathrm{H_2}H2​ (correct answer)
  4. 6 mol H2\mathrm{H_2}H2​

Explanation: This question tests your understanding that coefficients in balanced chemical equations represent mole ratios—the proportional relationships between amounts of reactants consumed and products formed in a chemical reaction. The coefficients in a balanced equation (the numbers in front of chemical formulas) tell you the ratio of MOLES of each substance involved in the reaction: in 2H2+O2→2H2O2H2 + O2 \rightarrow 2H2O2H2+O2→2H2O, the coefficients 2, 1, and 2 mean that 2 moles of hydrogen gas react with 1 mole of oxygen gas to produce 2 moles of water. This ratio is the fundamental relationship—it means for every 1 mole of O2 consumed, exactly 2 moles of H2 are consumed and exactly 2 moles of H2O are produced. The ratio stays constant no matter how much you scale it: 4 moles H2 with 2 moles O2 makes 4 moles H2O (doubled), or 1 mole H2 with 0.5 moles O2 makes 1 mole H2O (halved)—the 2:1:2 ratio is preserved! In the given equation N2+3H2→2NH3N2 + 3H2 \rightarrow 2NH3N2+3H2→2NH3, the coefficient for H2 is 3 and for N2 is 1, so per 1 mole of N2, 3 moles of H2 react, directly from the 1:3 ratio of N2 to H2. Choice C correctly interprets the coefficients as the mole ratio between the specified substances. A distractor like choice B might misread the ratio as 2 moles from the product side, but focus on the reactant coefficients and the 'per 1 mole of N2' phrasing to avoid confusing it with the NH3 coefficient. Reading mole ratios from balanced equations: (1) Locate the two substances you're comparing in the equation. (2) Read their coefficients (the numbers in front—if no number is written, the coefficient is 1). (3) Write the ratio: [coefficient of first substance] : [coefficient of second substance]. Using mole ratios as conversion factors: mole ratios let you predict amounts! If you know how many moles of one substance you have, you can calculate moles of another using the ratio—they're not just decorative numbers, they're the mathematical relationship between substances in the reaction!

Question 2

Iron reacts with chlorine according to the balanced equation 2Fe+3Cl2→2FeCl3.2\text{Fe} + 3\text{Cl}_2 \rightarrow 2\text{FeCl}_3.2Fe+3Cl2​→2FeCl3​. What is the mole ratio of Fe\text{Fe}Fe to Cl2\text{Cl}_2Cl2​?

  1. 3:2
  2. 2:3 (correct answer)
  3. 2:1
  4. 1:1

Explanation: This question tests your understanding that coefficients in balanced chemical equations represent mole ratios—the proportional relationships between amounts of reactants consumed and products formed in a chemical reaction. The coefficients in a balanced equation (the numbers in front of chemical formulas) tell you the ratio of MOLES of each substance involved in the reaction: in 2Fe+3Cl2→2FeCl32\text{Fe} + 3\text{Cl}_2 \rightarrow 2\text{FeCl}_32Fe+3Cl2​→2FeCl3​, the coefficients 2, 3, and 2 mean that 2 moles of Fe\text{Fe}Fe react with 3 moles of Cl2\text{Cl}_2Cl2​ to produce 2 moles of FeCl3\text{FeCl}_3FeCl3​. This ratio is the fundamental relationship—it means for every 2 moles of Fe\text{Fe}Fe consumed, exactly 3 moles of Cl2\text{Cl}_2Cl2​ are consumed and 2 moles of FeCl3\text{FeCl}_3FeCl3​ are produced. The ratio stays constant no matter how much you scale it: 4 moles Fe\text{Fe}Fe with 6 moles Cl2\text{Cl}_2Cl2​ makes 4 moles FeCl3\text{FeCl}_3FeCl3​ (doubled), or 1 mole Fe\text{Fe}Fe with 1.5 moles Cl2\text{Cl}_2Cl2​ makes 1 mole FeCl3\text{FeCl}_3FeCl3​ (halved)—the 2:3:22:3:22:3:2 ratio is preserved! In this equation, the mole ratio of Fe\text{Fe}Fe to Cl2\text{Cl}_2Cl2​ is extracted from their coefficients: Fe\text{Fe}Fe has 2 and Cl2\text{Cl}_2Cl2​ has 3, so it's 2:32:32:3, meaning 2 moles of Fe\text{Fe}Fe per 3 moles of Cl2\text{Cl}_2Cl2​. Choice B correctly interprets the coefficients as the mole ratio between Fe\text{Fe}Fe and Cl2\text{Cl}_2Cl2​, stating 2:32:32:3. A distractor like choice A (3:23:23:2) might reverse the substances, but confirm the order: it's Fe\text{Fe}Fe to Cl2\text{Cl}_2Cl2​, which is 2:32:32:3, not 3:23:23:2. Reading mole ratios from balanced equations: (1) Locate the two substances you're comparing in the equation. (2) Read their coefficients (the numbers in front—if no number is written, the coefficient is 1). (3) Write the ratio: [coefficient of first substance] : [coefficient of second substance]. Using mole ratios as conversion factors: mole ratios let you predict amounts! If you know how many moles of one substance you have, you can calculate moles of another using the ratio.

Question 3

In the balanced equation 4Fe+3O2→2Fe2O34 \mathrm{Fe} + 3 \mathrm{O}_2 \rightarrow 2 \mathrm{Fe}_2\mathrm{O}_34Fe+3O2​→2Fe2​O3​, what is the mole ratio of Fe2O3\mathrm{Fe}_2\mathrm{O}_3Fe2​O3​ to Fe\mathrm{Fe}Fe?

  1. 2:4 (correct answer)
  2. 4:2
  3. 2:3
  4. 3:4

Explanation: This question tests your understanding that coefficients in balanced chemical equations represent mole ratios—the proportional relationships between amounts of reactants consumed and products formed in a chemical reaction. The coefficients in a balanced equation (the numbers in front of chemical formulas) tell you the ratio of MOLES of each substance involved in the reaction: in 4Fe+3O2→2Fe2O34 \mathrm{Fe} + 3 \mathrm{O}_2 \rightarrow 2 \mathrm{Fe}_2\mathrm{O}_34Fe+3O2​→2Fe2​O3​, the coefficients 4, 3, and 2 mean that 4 moles of iron react with 3 moles of oxygen to produce 2 moles of iron(III) oxide. This ratio is the fundamental relationship—it means for every 4 moles of Fe\mathrm{Fe}Fe consumed, exactly 3 moles of O2\mathrm{O}_2O2​ are consumed and 2 moles of Fe2O3\mathrm{Fe}_2\mathrm{O}_3Fe2​O3​ are produced. The ratio stays constant no matter how much you scale it: 8 moles of Fe\mathrm{Fe}Fe with 6 moles of O2\mathrm{O}_2O2​ makes 4 moles of Fe2O3\mathrm{Fe}_2\mathrm{O}_3Fe2​O3​ (doubled), or 2 moles of Fe\mathrm{Fe}Fe with 1.5 moles of O2\mathrm{O}_2O2​ makes 1 mole of Fe2O3\mathrm{Fe}_2\mathrm{O}_3Fe2​O3​ (halved)—the 4:3:2 ratio is preserved! In this equation, the mole ratio of Fe2O3\mathrm{Fe}_2\mathrm{O}_3Fe2​O3​ to Fe\mathrm{Fe}Fe is extracted from their coefficients: Fe2O3\mathrm{Fe}_2\mathrm{O}_3Fe2​O3​ has 2 and Fe\mathrm{Fe}Fe has 4, so it's 2:4 (or simplified 1:2, but the question uses unsimplified). Choice A correctly interprets the coefficients as the mole ratio between Fe2O3\mathrm{Fe}_2\mathrm{O}_3Fe2​O3​ and Fe\mathrm{Fe}Fe, stating 2:4. A distractor like choice B (4:2) reverses the order, but the question asks for Fe2O3\mathrm{Fe}_2\mathrm{O}_3Fe2​O3​ to Fe\mathrm{Fe}Fe, which is 2:4—always match the sequence. Reading mole ratios from balanced equations: (1) Locate the two substances you're comparing in the equation. (2) Read their coefficients (the numbers in front—if no number is written, the coefficient is 1). (3) Write the ratio: [coefficient of first substance] : [coefficient of second substance]. Using mole ratios as conversion factors: mole ratios let you predict amounts! If you know how many moles of one substance you have, you can calculate moles of another using the ratio.

Question 4

In the balanced decomposition reaction 2H2O2→2H2O+O22\text{H}_2\text{O}_2 \rightarrow 2\text{H}_2\text{O} + \text{O}_22H2​O2​→2H2​O+O2​, what is the mole ratio of H2O\text{H}_2\text{O}H2​O to O2\text{O}_2O2​?

  1. 2:1 (correct answer)
  2. 1:2
  3. 2:2
  4. 2:4

Explanation: This question tests your understanding that coefficients in balanced chemical equations represent mole ratios—the proportional relationships between amounts of reactants consumed and products formed in a chemical reaction. The coefficients in a balanced equation (the numbers in front of chemical formulas) tell you the ratio of MOLES of each substance involved in the reaction: in 2H2O2→2H2O+O22\text{H}_2\text{O}_2 \rightarrow 2\text{H}_2\text{O} + \text{O}_22H2​O2​→2H2​O+O2​, the coefficients 2, 2, and 1 mean that 2 moles of hydrogen peroxide decompose to produce 2 moles of water and 1 mole of oxygen. This ratio is the fundamental relationship—it means for every 2 moles of H2O2\text{H}_2\text{O}_2H2​O2​ decomposed, exactly 2 moles of H2O\text{H}_2\text{O}H2​O and 1 mole of O2\text{O}_2O2​ are produced. The ratio stays constant no matter how much you scale it: 4 moles H2O2\text{H}_2\text{O}_2H2​O2​ makes 4 moles H2O\text{H}_2\text{O}H2​O and 2 moles O2\text{O}_2O2​ (doubled), or 1 mole H2O2\text{H}_2\text{O}_2H2​O2​ makes 1 mole H2O\text{H}_2\text{O}H2​O and 0.5 moles O2\text{O}_2O2​ (halved)—the 2:2:1 ratio is preserved! In this equation, the mole ratio of H2O\text{H}_2\text{O}H2​O to O2\text{O}_2O2​ is extracted from their coefficients: H2O\text{H}_2\text{O}H2​O has 2 and O2\text{O}_2O2​ has 1 (implied), so it's 2:1, meaning 2 moles of H2O\text{H}_2\text{O}H2​O per 1 mole of O2\text{O}_2O2​. Choice A correctly interprets the coefficients as the mole ratio between H2O\text{H}_2\text{O}H2​O and O2\text{O}_2O2​, stating 2:1. A distractor like choice B (1:2) could result from swapping the order, but always state the ratio as asked—H2O\text{H}_2\text{O}H2​O to O2\text{O}_2O2​ is 2:1, not reversed. Reading mole ratios from balanced equations: (1) Locate the two substances you're comparing in the equation. (2) Read their coefficients (the numbers in front—if no number is written, the coefficient is 1). (3) Write the ratio: [coefficient of first substance] : [coefficient of second substance]. Using mole ratios as conversion factors: mole ratios let you predict amounts! If you know how many moles of one substance you have, you can calculate moles of another using the ratio.

Question 5

Water forms from hydrogen and oxygen as shown in the balanced equation 2H2+O2→2H2O.2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}.2H2​+O2​→2H2​O. Which statement correctly describes the mole relationship between O2\text{O}_2O2​ and H2O\text{H}_2\text{O}H2​O?

  1. 1 mol O2\text{O}_2O2​ produces 1 mol H2O\text{H}_2\text{O}H2​O
  2. 2 mol O2\text{O}_2O2​ produces 1 mol H2O\text{H}_2\text{O}H2​O
  3. 1 mol O2\text{O}_2O2​ produces 2 mol H2O\text{H}_2\text{O}H2​O (correct answer)
  4. 2 mol O2\text{O}_2O2​ produces 2 mol H2O\text{H}_2\text{O}H2​O

Explanation: This question tests your understanding that coefficients in balanced chemical equations represent mole ratios—the proportional relationships between amounts of reactants consumed and products formed in a chemical reaction. The coefficients in a balanced equation (the numbers in front of chemical formulas) tell you the ratio of MOLES of each substance involved in the reaction: in 2H2+O2→2H2O2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}2H2​+O2​→2H2​O, the coefficients 2, 1, and 2 mean that 222 moles of H2\text{H}_2H2​ react with 111 mole of O2\text{O}_2O2​ to produce 222 moles of H2O\text{H}_2\text{O}H2​O. This ratio is the fundamental relationship—it means for every 111 mole of O2\text{O}_2O2​ consumed, exactly 222 moles of H2\text{H}_2H2​ are consumed and exactly 222 moles of H2O\text{H}_2\text{O}H2​O are produced. The ratio stays constant no matter how much you scale it: 444 moles of H2\text{H}_2H2​ with 222 moles of O2\text{O}_2O2​ makes 444 moles of H2O\text{H}_2\text{O}H2​O (doubled), or 111 mole of H2\text{H}_2H2​ with 0.50.50.5 moles of O2\text{O}_2O2​ makes 111 mole of H2O\text{H}_2\text{O}H2​O (halved)—the 2:1:22:1:22:1:2 ratio is preserved! In this equation, the mole relationship between O2\text{O}_2O2​ and H2O\text{H}_2\text{O}H2​O is that 111 mole of O2\text{O}_2O2​ produces 222 moles of H2O\text{H}_2\text{O}H2​O, as their coefficients are 1 and 2. Choice C correctly interprets the coefficients by stating 1 mol O2\text{O}_2O2​ produces 2 mol H2O\text{H}_2\text{O}H2​O. A distractor like choice A (1 mol O2\text{O}_2O2​ produces 1 mol H2O\text{H}_2\text{O}H2​O) might ignore the coefficients, but remember, the numbers show the proportion—O2\text{O}_2O2​'s 1 to H2O\text{H}_2\text{O}H2​O's 2 means twice as much water is produced. Reading mole ratios from balanced equations: (1) Locate the two substances you're comparing in the equation. (2) Read their coefficients (the numbers in front—if no number is written, the coefficient is 1). (3) Write the ratio: [coefficient of first substance] : [coefficient of second substance]. Using mole ratios as conversion factors: mole ratios let you predict amounts! If you know how many moles of one substance you have, you can calculate moles of another using the ratio.

Question 6

In the balanced combustion equation CH4+2O2→CO2+2H2O,\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O},CH4​+2O2​→CO2​+2H2​O, what is the mole ratio of O2\text{O}_2O2​ to CH4\text{CH}_4CH4​?

  1. 1:2
  2. 2:1 (correct answer)
  3. 2:4
  4. 2:2

Explanation: This question tests your understanding that coefficients in balanced chemical equations represent mole ratios—the proportional relationships between amounts of reactants consumed and products formed in a chemical reaction. The coefficients in a balanced equation (the numbers in front of chemical formulas) tell you the ratio of MOLES of each substance involved in the reaction: in CH4+2O2→CO2+2H2O\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}CH4​+2O2​→CO2​+2H2​O, the coefficients 1, 2, 1, and 2 mean that 1 mole of CH4\text{CH}_4CH4​ reacts with 2 moles of O2\text{O}_2O2​ to produce 1 mole of CO2\text{CO}_2CO2​ and 2 moles of H2O\text{H}_2\text{O}H2​O. This ratio is the fundamental relationship—it means for every 1 mole of CH4\text{CH}_4CH4​ consumed, exactly 2 moles of O2\text{O}_2O2​ are consumed and exactly 1 mole of CO2\text{CO}_2CO2​ and 2 moles of H2O\text{H}_2\text{O}H2​O are produced. The ratio stays constant no matter how much you scale it: 2 moles CH4\text{CH}_4CH4​ with 4 moles O2\text{O}_2O2​ makes 2 moles CO2\text{CO}_2CO2​ and 4 moles H2O\text{H}_2\text{O}H2​O (doubled), or 0.5 moles CH4\text{CH}_4CH4​ with 1 mole O2\text{O}_2O2​ makes 0.5 moles CO2\text{CO}_2CO2​ and 1 mole H2O\text{H}_2\text{O}H2​O (halved)—the 1:2:1:2 ratio is preserved! In this equation, the mole ratio of O2\text{O}_2O2​ to CH4\text{CH}_4CH4​ is extracted directly from their coefficients: O2\text{O}_2O2​ has 2 and CH4\text{CH}_4CH4​ has 1 (implied), so it's 2:1, meaning 2 moles of O2\text{O}_2O2​ per 1 mole of CH4\text{CH}_4CH4​. Choice B correctly interprets the coefficients as the mole ratio between O2\text{O}_2O2​ and CH4\text{CH}_4CH4​, stating 2:1. A common distractor like choice A (1:2) might come from reversing the order, but remember, the ratio is always stated as first substance to second—here, O2\text{O}_2O2​ to CH4\text{CH}_4CH4​ is 2:1, not the other way around. Reading mole ratios from balanced equations: (1) Locate the two substances you're comparing in the equation. (2) Read their coefficients (the numbers in front—if no number is written, the coefficient is 1). (3) Write the ratio: [coefficient of first substance] : [coefficient of second substance]. Using mole ratios as conversion factors: mole ratios let you predict amounts! If you know how many moles of one substance you have, you can calculate moles of another using the ratio.

Question 7

Methane combusts according to CH4+2O2→CO2+2H2O.\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}.CH4​+2O2​→CO2​+2H2​O. What is the mole ratio of H2O\text{H}_2\text{O}H2​O to CO2\text{CO}_2CO2​?

  1. 2:1 (correct answer)
  2. 1:2
  3. 2:2
  4. 1:1

Explanation: This question tests your understanding that coefficients in balanced chemical equations represent mole ratios—the proportional relationships between amounts of reactants consumed and products formed in a chemical reaction. The coefficients in a balanced equation (the numbers in front of chemical formulas) tell you the ratio of MOLES of each substance involved in the reaction: in CH4+2O2→CO2+2H2O\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}CH4​+2O2​→CO2​+2H2​O, the coefficients 1, 2, 1, and 2 mean that 1 mole of CH4\text{CH}_4CH4​ reacts with 2 moles of O2\text{O}_2O2​ to produce 1 mole of CO2\text{CO}_2CO2​ and 2 moles of H2O\text{H}_2\text{O}H2​O. This ratio is the fundamental relationship—it means for every 1 mole of CO2\text{CO}_2CO2​ produced, exactly 2 moles of H2O\text{H}_2\text{O}H2​O are also produced. The ratio stays constant no matter how much you scale it: 2 moles CH4\text{CH}_4CH4​ with 4 moles O2\text{O}_2O2​ makes 2 moles CO2\text{CO}_2CO2​ and 4 moles H2O\text{H}_2\text{O}H2​O (doubled), or 0.5 moles CH4\text{CH}_4CH4​ with 1 mole O2\text{O}_2O2​ makes 0.5 moles CO2\text{CO}_2CO2​ and 1 mole H2O\text{H}_2\text{O}H2​O (halved)—the 1:2:1:2 ratio is preserved! In this equation, the mole ratio of H2O\text{H}_2\text{O}H2​O to CO2\text{CO}_2CO2​ is extracted from their coefficients: H2O\text{H}_2\text{O}H2​O has 2 and CO2\text{CO}_2CO2​ has 1 (implied), so it's 2:1, meaning 2 moles of H2O\text{H}_2\text{O}H2​O per 1 mole of CO2\text{CO}_2CO2​. Choice A correctly interprets the coefficients as the mole ratio between H2O\text{H}_2\text{O}H2​O and CO2\text{CO}_2CO2​, stating 2:1. A distractor like choice B (1:2) could be from reversing the substances, but the question asks for H2O\text{H}_2\text{O}H2​O to CO2\text{CO}_2CO2​—keep the order straight. Reading mole ratios from balanced equations: (1) Locate the two substances you're comparing in the equation. (2) Read their coefficients (the numbers in front—if no number is written, the coefficient is 1). (3) Write the ratio: [coefficient of first substance] : [coefficient of second substance]. Using mole ratios as conversion factors: mole ratios let you predict amounts! If you know how many moles of one substance you have, you can calculate moles of another using the ratio.

Question 8

Rust formation (simplified) can be represented by the balanced equation 4Fe+3O2→2Fe2O3\mathrm{4Fe + 3O_2 \rightarrow 2Fe_2O_3}4Fe+3O2​→2Fe2​O3​. What is the mole ratio of Fe\mathrm{Fe}Fe to Fe2O3\mathrm{Fe_2O_3}Fe2​O3​?

  1. 2:42:42:4
  2. 4:24:24:2 (correct answer)
  3. 3:23:23:2
  4. 2:32:32:3

Explanation: This question tests your understanding that coefficients in balanced chemical equations represent mole ratios—the proportional relationships between amounts of reactants consumed and products formed in a chemical reaction. The coefficients in a balanced equation (the numbers in front of chemical formulas) tell you the ratio of MOLES of each substance involved in the reaction: in 2H2+O2→2H2O2\mathrm{H_2} + \mathrm{O_2} \rightarrow 2\mathrm{H_2O}2H2​+O2​→2H2​O, the coefficients 2, 1, and 2 mean that 2 moles of hydrogen gas react with 1 mole of oxygen gas to produce 2 moles of water. This ratio is the fundamental relationship—it means for every 1 mole of O2\mathrm{O_2}O2​ consumed, exactly 2 moles of H2\mathrm{H_2}H2​ are consumed and exactly 2 moles of H2O\mathrm{H_2O}H2​O are produced. The ratio stays constant no matter how much you scale it: 4 moles H2\mathrm{H_2}H2​ with 2 moles O2\mathrm{O_2}O2​ makes 4 moles H2O\mathrm{H_2O}H2​O (doubled), or 1 mole H2\mathrm{H_2}H2​ with 0.5 moles O2\mathrm{O_2}O2​ makes 1 mole H2O\mathrm{H_2O}H2​O (halved)—the 2:1:2 ratio is preserved! In the given equation 4Fe+3O2→2Fe2O34\mathrm{Fe} + 3\mathrm{O_2} \rightarrow 2\mathrm{Fe_2O_3}4Fe+3O2​→2Fe2​O3​, the coefficient for Fe is 4 and for Fe2O3 is 2, so the mole ratio of Fe to Fe2O3 is 4:2, meaning 4 moles of Fe produce 2 moles of Fe2O3. Choice B correctly interprets the coefficients as the mole ratio between the specified substances. A distractor like choice A might reverse to 2:4, but list in the order asked—Fe to Fe2O3 means coefficient of Fe first (4) to Fe2O3 (2). Reading mole ratios from balanced equations: (1) Locate the two substances you're comparing in the equation. (2) Read their coefficients (the numbers in front—if no number is written, the coefficient is 1). (3) Write the ratio: [coefficient of first substance] : [coefficient of second substance]. Using mole ratios as conversion factors: mole ratios let you predict amounts! If you know how many moles of one substance you have, you can calculate moles of another using the ratio—they're not just decorative numbers, they're the mathematical relationship between substances in the reaction!

Question 9

In the balanced equation Zn+2HCl→ZnCl2+H2,\mathrm{Zn + 2HCl \rightarrow ZnCl_2 + H_2},Zn+2HCl→ZnCl2​+H2​, which statement correctly describes the mole relationship between HCl\mathrm{HCl}HCl and H2\mathrm{H_2}H2​?

  1. 1 mol HCl\mathrm{HCl}HCl produces 2 mol H2\mathrm{H_2}H2​
  2. 2 mol HCl\mathrm{HCl}HCl produce 1 mol H2\mathrm{H_2}H2​ (correct answer)
  3. 2 mol HCl\mathrm{HCl}HCl produce 2 mol H2\mathrm{H_2}H2​
  4. The ratio depends on molar mass, not coefficients

Explanation: This question tests your understanding that coefficients in balanced chemical equations represent mole ratios—the proportional relationships between amounts of reactants consumed and products formed in a chemical reaction. The coefficients in a balanced equation (the numbers in front of chemical formulas) tell you the ratio of MOLES of each substance involved in the reaction: in 2H2 + O2 → 2H2O, the coefficients 2, 1, and 2 mean that 2 moles of hydrogen gas react with 1 mole of oxygen gas to produce 2 moles of water. This ratio is the fundamental relationship—it means for every 1 mole of O2 consumed, exactly 2 moles of H2 are consumed and exactly 2 moles of H2O are produced. The ratio stays constant no matter how much you scale it: 4 moles H2 with 2 moles O2 makes 4 moles H2O (doubled), or 1 mole H2 with 0.5 moles O2 makes 1 mole H2O (halved)—the 2:1:2 ratio is preserved! In the given equation Zn + 2HCl → ZnCl2 + H2, the coefficient for HCl is 2 and for H2 is 1, so 2 moles of HCl produce 1 mole of H2, directly from the 2:1 ratio. Choice B correctly interprets the coefficients as the mole ratio between the specified substances. A distractor like choice D might confuse coefficients with molar mass, but remember mole ratios come solely from coefficients, not masses or subscripts. Reading mole ratios from balanced equations: (1) Locate the two substances you're comparing in the equation. (2) Read their coefficients (the numbers in front—if no number is written, the coefficient is 1). (3) Write the ratio: [coefficient of first substance] : [coefficient of second substance]. Using mole ratios as conversion factors: mole ratios let you predict amounts! If you know how many moles of one substance you have, you can calculate moles of another using the ratio—they're not just decorative numbers, they're the mathematical relationship between substances in the reaction!

Question 10

In the balanced combustion equation CH4+2O2→CO2+2H2O\mathrm{CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O}CH4​+2O2​→CO2​+2H2​O, what is the mole ratio of O2\mathrm{O_2}O2​ to CH4\mathrm{CH_4}CH4​ (reactant to reactant)?

  1. 2:12:12:1 (correct answer)
  2. 1:21:21:2
  3. 4:14:14:1
  4. 2:42:42:4

Explanation: This question tests your understanding that coefficients in balanced chemical equations represent mole ratios—the proportional relationships between amounts of reactants consumed and products formed in a chemical reaction. The coefficients in a balanced equation (the numbers in front of chemical formulas) tell you the ratio of MOLES of each substance involved in the reaction: in 2H2+O2→2H2O2\mathrm{H_2} + \mathrm{O_2} \rightarrow 2\mathrm{H_2O}2H2​+O2​→2H2​O, the coefficients 2, 1, and 2 mean that 2 moles of hydrogen gas react with 1 mole of oxygen gas to produce 2 moles of water. This ratio is the fundamental relationship—it means for every 1 mole of O2 consumed, exactly 2 moles of H2 are consumed and exactly 2 moles of H2O are produced. The ratio stays constant no matter how much you scale it: 4 moles H2 with 2 moles O2 makes 4 moles H2O (doubled), or 1 mole H2 with 0.5 moles O2 makes 1 mole H2O (halved)—the 2:1:22:1:22:1:2 ratio is preserved! In the given equation CH4 + 2O2 → CO2 + 2H2O, the coefficient for O2 is 2 and for CH4 is 1, so the mole ratio of O2 to CH4 is 2:1, meaning 2 moles of O2 are needed for every 1 mole of CH4. Choice A correctly interprets the coefficients as the mole ratio between the specified substances. A common distractor like choice B might reverse the ratio to 1:2, but remember to always list the substances in the order asked—here it's O2 to CH4, so coefficient of O2 first (2) to coefficient of CH4 (1). Reading mole ratios from balanced equations: (1) Locate the two substances you're comparing in the equation. (2) Read their coefficients (the numbers in front—if no number is written, the coefficient is 1). (3) Write the ratio: [coefficient of first substance] : [coefficient of second substance]. Using mole ratios as conversion factors: mole ratios let you predict amounts! If you know how many moles of one substance you have, you can calculate moles of another using the ratio—they're not just decorative numbers, they're the mathematical relationship between substances in the reaction!