What total volume of gases are produced at 33 degrees C and 0.968 atm by the decomposition of 2.00 g nitroglycerin (C_3H_5N_3O_9C3H5N3O9)? (R = 0.08206 atm/mol-K)
1 Answer
The volume of gas produced is 1.66 L.
There are four steps involved in this stoichiometry problem:
Step 1. Write the balanced chemical equation.
Step 2. Convert grams of nitroglycerin to moles of nitroglycerin
Step 3. Convert moles of nitroglycerin to moles of gas
The molar ratio of gases to nitroglycerin is
∴
4. Use the Ideal Gas Law to calculate the volume of gas.
The Ideal Gas Law is
color(blue)(bar(ul(|color(white)(a/a)PV = nRTcolor(white)(a/a)|)))" "
where
We can rearrange the Ideal Gas Law to get
color(blue)(bar(ul(|color(white)(a/a)V = (nRT)/Pcolor(white)(a/a)|)))" "
In this problem,
∴
The volume of gas is 1.66 L.
Here's a useful video on mass-volume conversions.