Reaction Calculations and Limiting Reagent - MCAT Chemical and Physical Foundations of Biological Systems

It is first necessary to balance the equation.

So, sixteen moles of hydrochloric acid (HCl) would produce two moles of potassium chloride (KCl). Multiplying this ratio times two, thirty-two moles of HCl would produce four moles of KCl.

The first step to solve will be to balance the chemical reaction:

We see that we see that for every one mole of glucose used, six moles of carbon dioxide will be made. Similarly, for every six moles of oxygen used, six moles of carbon dioxide will be formed. For the reaction to carry out to completion, however, there must exist six moles of oxygen for every one mole of glucose. In the problem's circumstances, one of these compounds becomes the limiting reactant, in this case it is oxygen.

We only have three moles of oxygen, but we would need six to react all the given glucose, making oxygen the limiting reagent. We need to find the carbon dioxide produced from the limited amount of oxygen present. Use the molar ratio between oxygen and carbon dioxide and the molar mass of carbon dioxide to solve.

Silver (I) nitrate is AgNO3. Recognizing this allows us to eliminate two answer choices, which incorrectly substitute nitrogen (N) for nitrate (NO3) or balance the molecular charges incorrectly. Of the two remaining choices, only one is balanced correctly.

Find the volume of hydrochloric acid (HCl) needed to react completely with 5.6g of manganese (Mn).

Since we only need 85mL of acid to react with 5.6g manganese, we have an excess of 565mL hydrochloric acid, and manganese is the limiting reagent.

Convert 5.6g of manganese (limiting reagent) to volume of hydrogen gas.

Recognize that this is a double replacement reaction in which ion pairs will switch. After reaction, copper (II) will now be paired with sulfate, and sodium with flouride according to the (unbalanced) equation below. Remember that sulfate has a charge of -2, and flouride of -1.

The first step is writing, and then balancing, the chemical equation for this reaction.

From this, we are able to see that for every one mole of iron (III) nitrate that is produced, three moles of sodium bromide are produced (a 1 to 3 ratio).

First, write a balanced equation for the reaction.

Next, convert 10g BaCO3 to milliliters of NaOH.

We don't know which of the reactants is limiting, so we'll need to calculate how much zinc sulfate would be produced by the given amount of each of the reactants, assuming the other is in excess. Whichever reactant would produce less zinc sulfate is the limiting reactant, and the amount of zinc sulfate produced by that reactant is the actual amount that can be produced by this mixture.

If we start with 100g of zinc, we yield 247g of zinc sulfate.

Starting with 200g of copper(II)sulfate, we yield 202g of zinc sulfate.

Less zinc sulfate can be produced by the given amount of copper(II) sulfate, so copper(II) sulfate is the limiting reactant, and 202g of zinc sulfate are actually produced by the given mixture.

In this reaction, only one element is replaced by another. NaBr becomes NaCl, with a single-replacement of chlorine for bromine. The diatomic halogens are not considered as replacing one another, as they are not bound to a cation.

A comparison of single- and double-replacements reactions is shown below.

Single-replacement:

Double-replacement:

Any combustion reaction of a hydrocarbon involves oxygen gas as a reactant, and produces carbon dioxide and water as products. In this case, two moles of hexane react with nineteen moles of oxygen to produce twelve moles of carbon dioxide and fourteen moles of water. Carbon dioxide is a gas at room temperature, and water is a liquid.

Hexane:

Reaction:

Now we can begin to balance the reaction.

Everything is balanced except oxygen; there is an odd number of oxygen to the right and an even number to the left. We can adjust this by multiplying everything by two.

First, use Avogadro's law and the molar weight of oxygen to determine the number of oxygen atoms.

We know that two photons are formed from every oxygen molecule. We can use basic stoichiometry to find the number of photons generated.

We will be looking for a solution that results in one mole of potassium chloride per ten liters of water.

We will need to find the molecular weight of potassium chloride.

In order to get the desired concentration, we will need to add one-tenth of this amount to one liter of water.

Our ratio, then is:

The only answer to follow this ratio is of potassium chloride in .

This is a stoichiometry question requiring us to convert between grams, moles, reactants, and products.

Use the periodic table to find the molar masses of the two compounds in question.

We can use the reaction formula to find the ratio of aluminum chloride to silver chloride. In this case, the ratio is 1:3.

Now we can set up a calculation to convert grams of aluminum chloride to grams of silver chloride, making sure that all units cancel appropriately.

The reaction of a salt, like , with an acid, like , is a double-replacement reaction. The products are a salt of the original acid (), and a second acid formed from the original salt (). Remember to keep the equation balanced.

To determine which method will produce more hydrogen molecules, convert equal masses of each reactant into molecules of hydrogen gas. The conversion requires us to convert the initial compound to moles, multiply by the molar ratio from the reaction to find moles of hydrogen, and multiply by Avogadro's number to convert to molecules.

Dividing these solutions, we see that the methane method produces roughly eight times the amount of hydrogen molecules.

Since the reaction takes place at STP, we can convert liters of hydrogen to moles using a constant.

Using this value, we can find the moles of carbon monoxide produced and convert to molecules by using Avogadro's number.

In order to identify an excess reactant, we use stoichiometry to convert atoms of iron to mass of steam.

We have of steam available, but only require to fully react the given iron. Iron is thus the limiting reagent, since it will be fully consumed first.

There will be of excess steam.

The question asks us to consider water scarcity. Assuming our goal is to utilize minimal water to produce maximal hydrogen, the natural gas method is most efficient as is produces more hydrogen per mole of water consumed.

One mole of water produces three moles of hydrogen.

Four moles of water produce four moles of hydrogen.