May be solved by the molar volume method (Section 14.7 ) or...

may be solved by the molar volume method (Section 14.7 ) or by the ideal gas equation method (Section 14.8 ). In the answer section, the setups are given first for the molar volume method, printed over a tan background. Then, over a green back- ground, the answers are given for the ideal gas equation method. Check your work according to the section you studied. One source of sulfur dioxide used in making sulfuric acid comes from sulfide ores by the reaction $4 \mathrm{FeS}_{2}(\mathrm{s})+11 \mathrm{O}_{2}(\mathrm{g}) \rightarrow$ $2 \mathrm{Fe}_{2} \mathrm{O}_{3}(\mathrm{s})+8 \mathrm{SO}_{2}(\mathrm{g}) .$ How many liters of $\mathrm{SO}_{2},$ measured at 983 torr and $214^{\circ} \mathrm{C},$ are produced by the reaction of $598 \mathrm{g} \mathrm{FeS}_{2} ?$

may be solved by the molar volume method (Section 14.7 ) or by the ideal gas equation method (Section 14.8 ). In the answer section, the setups are given first for the molar volume method, printed over a tan background. Then, over a green back-
ground, the answers are given for the ideal gas equation method. Check your work according to the section you studied.
One source of sulfur dioxide used in making sulfuric acid comes from sulfide ores by the reaction $4 \mathrm{FeS}_{2}(\mathrm{s})+11 \mathrm{O}_{2}(\mathrm{g}) \rightarrow$
$2 \mathrm{Fe}_{2} \mathrm{O}_{3}(\mathrm{s})+8 \mathrm{SO}_{2}(\mathrm{g}) .$ How many liters of $\mathrm{SO}_{2},$ measured at 983
torr and $214^{\circ} \mathrm{C},$ are produced by the reaction of $598 \mathrm{g} \mathrm{FeS}_{2} ?$

Key Concepts

Gas Volume Calculation Methods

Methods for calculating gas volumes, such as using the molar volume of a gas or applying the ideal gas equation directly, are techniques that allow one to determine the volume of a gaseous product under specific conditions. These methods are widely used in chemical reactions to ensure proper handling and understanding of gases in various physical environments.

Ideal Gas Law

The ideal gas law (PV = nRT) provides a relationship between the pressure, volume, temperature, and number of moles of a gas. It is a crucial tool for calculating the volume a gas occupies under non-standard conditions, adjusting for changes in temperature and pressure.

Stoichiometry

Stoichiometry involves using balanced chemical equations to determine the quantitative relationships between reactants and products in a chemical reaction. This concept allows one to calculate the number of moles of a product that can be generated from a certain number of moles of a reactant by using the mole ratios provided in the balanced equation.

Molar Mass and Conversion

Molar mass is the mass of one mole of any substance, and it is used to convert between mass and the number of moles. This conversion is fundamental in chemistry to relate the mass of substances used or produced in a reaction to the corresponding number of particles, based on their atomic or molecular weights.

Transcript

00:01 Hi there.

00:02 Let's go ahead and get started.

00:03 The first thing i want to record is the balanced equation that we are provided with.

00:09 It's nh4, n .o3, decomposes to form n02, which is a gas, and 2h2, which is also a gas, because it's very hot.

00:27 So both of these are gases.

00:34 And what we know is that combined, we want to make 82 .3 liters.

00:47 Of gas of these two gases combined.

00:52 And what we want to know is how many grams of the nh4 n .o3 we need to start with to make 82 .3 liters of the gases.

01:02 A little bit of other important information is we are at 447 degrees celsius.

01:09 So our water is definitely a gas.

01:12 Remember water boils at 100 degrees celsius.

01:15 I'm going to go ahead and immediately convert this to kelvin because i know i'm working with gas law problems and gas law problems always use kelvin.

01:25 I'm also given 896 tor.

01:32 Right.

01:32 So let's think about this problem.

01:34 If i am trying to figure out information about one thing in the equation by starting with information about something else, that tells me i'm going to have to do some stoichiometry.

01:47 But the problem is i'm starting with leaders of gases that are not at stp.

01:53 So i cannot use 22 .4.

01:56 What i'm going to need to do is use the ideal gas equation to figure out how many moles of gas i have under these conditions of temperature and pressure.

02:07 So i'm going to take the ideal gas equation and rearrange it to solve for number of moles.

02:12 So that would give me pv over rt.

02:18 And let's go ahead and solve for number of moles of gases.

02:25 I have 896 tor as the pressure.

02:35 The volume we are given, the total volume of both of these gases combined is 82 .3 liters.

02:44 The r value i want to use is the r that gives me tor in the units...

Please give Ace some feedback