Q. 8.14 - An Introduction to General, Organic, and Biological Chemistry

Question

A gas at a pressure of $2.0$ atm is in a closed container. Indicate the changes (increases, decreases, does not change) in its volume when the pressure undergoes the following changes at the same temperature and amount of gas:
a. The pressure increases to $6.0$ atm
b. The pressure remains at $2.0$ atm
c. The pressure drops to $0.40$ atm

Step-by-Step Solution

Answer

Part(a) Decrease in volume

Part(b) No change in volume

Part(c) Increase in volume

Part(a) Step 1 : Given information

We are given that a gas at a pressure of $2.0$ atm is in a closed container. We have to determine change in pressure.

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 pressure of two atmospheres and increase it by six atmospheres, we get an increase in pressure.
As a result, I anticipate a decline in volume.

Part(b) Step 1 : Given information

We are given that a gas at a pressure of $2.0$ atm is in a closed container. We have to determine change in pressure.

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 pressure of two atmospheres and maintain it then I expect the volume to remain constant. because there is no change in pressure.

Part(c) Step 1 : Given information

We are given that a gas at a pressure of $2.0$ atm is in a closed container. We have to determine change in pressure.

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 pressure of two atmospheres and decrease it to $0.40$ atm , then volume should increase.