Q. 8.13 - An Introduction to General, Organic, and Biological Chemistry

Question

A gas with a volume of 4.0 L is in a closed container. Indicate the changes (increases, decreases, does not change) in pressure when the volume undergoes the following changes at constant temperature and amount of gas:
a. The volume is compressed to $2.0$ L.
b. The volume expands to $12$ L.
c. The volume is compressed to $0.40$ L

Step-by-Step Solution

Answer

Part(a) Increase in pressure.

Part(b) Decrease in pressure.

Part(c) Increase in pressure.

Part(a) Step 1 : Given information

We are given that a gas at a volume of $4.0$ L is in a closed container. We have to determine change in volume.

Part(a) Step 2 : Simplify

Boyle's law states that the volume and pressure of a gas are inversely connected, which implies that if the pressure is increased, the volume should decrease and vice versa.
So, if we start with a gas at a volume of $4.0$ L and decrease it to $2.0$ L we get an increase in pressure.

Part(b) Step 1 : Given information

We are given that a gas at a volume of $4.0$ L is in a closed container. We have to determine change in volume.

Part(b) Step 2 : Simplify

Boyle's law states that the volume and pressure of a gas are inversely connected, which implies that if the pressure is increased, the volume should decrease and vice versa.
So, if we start with a gas at a volume of $4.0$ L and increase it to $12$ L we get an increase in volume.

Part(c) Step 1 : Given information

We are given that a gas at a volume of $4.0$ L is in a closed container. We have to determine change in volume.

Part(c) Step 2 : Simplify

Boyle's law states that the volume and pressure of a gas are inversely connected, which implies that if the pressure is increased, the volume should decrease and vice versa.
So, if we start with a gas at a volume of $4.0$ L and decrease it to $0.40$ L we get an decrease in volume.