Indicate which diagram (1, 2, or 3) represents the volume of the gas sample in a flexible container when each of the following changes (a to d) takes place:
c. Atmospheric pressure decreases if temperature does not change.

Question

Indicate which diagram (1, 2, or 3) represents the volume of the gas sample in a flexible container when each of the following changes (a to d) takes place:

c. Atmospheric pressure decreases if temperature does not change.

Accepted Answer

Hello. In this problem, we are asked which of the following diagrams represents the change in volume of a gas sample. When the total pressure in the system increases without any temperature change, we are provided with three diagrams A B and C diagram A has a volume greater than our initial volume. B has the same volume as the initial volume. And C the volume is less than our initial volume. All diagrams A B and C contain eight gas particles which is the same as the initial state that tells us then that our moles of gas is equal to a constant. Within the problem statement. We were also told that the temperature is constant. Let's begin. Then by making use of our ideal gas equation, the pressure times the volume is equal to the moles times the gas, constant times temperature. We are told that the quantity of gas and the temperature are held constant R is a constant. So that says that everything on the right hand side is equal to a constant. This then says that our pressure times our volume will be a constant. This is Boyle's law. We can write the general form of Boyle's law for two different conditions. So we have P one times V one is equal to P two times V two. So we are trying to determine then B two to isolate V two, then we will divide both sides by our final pressure P two. Our final pressure will cancel on the right hand side. We then get our final volume V two is equal to our initial pressure. P one times our initial volume V one divided by our final pressure P two. So when we are told that the total pressure in the system will increase, that means then that P two will be greater than P one when P two, which is in the denominator is greater than P one, that then tells us that V two will be less than V one. And so we're looking for the diagram then where our volume under condition two. So our final volume is less than our initial volume that occurs then with diagram C. So C is the correct answer. Thanks for watching. Hope this helped.

Indicate which diagram (1, 2, or 3) represents the volume of the gas sample in a flexible container when each of the following changes (a to d) takes place:

c. Atmospheric pressure decreases if temperature does not change.

Verified video answer for a similar problem:

Key Concepts

Gas Laws

Flexible Container

Pressure-Volume Relationship