The molar volume of a gas increases by a factor of 2. Which parameter change could have caused the shift in molar volume?(1 point)

Question

Responses

the pressure increasing by a factor of 2
the pressure increasing by a factor of 2

the temperature increasing by a factor of 2
the temperature increasing by a factor of 2

the pressure decreasing by a factor of 0.25
the pressure decreasing by a factor of 0.25

the temperature decreasing by a factor of 0.25

Answer 1

The molar volume of a gas can be affected by changes in pressure and temperature, following the Ideal Gas Law, which states \( PV = nRT \).

To determine which parameter change could have caused the molar volume to increase by a factor of 2, let's analyze the options:

1. The pressure increasing by a factor of 2:
   Increasing pressure typically decreases molar volume (inverse relationship). This would not cause an increase in molar volume.

2. The temperature increasing by a factor of 2:
   Increasing temperature while keeping pressure constant would increase the molar volume. Specifically, if temperature increases, volume (molar volume) would also increase. This is a potential correct answer.

3. The pressure decreasing by a factor of 0.25:
   Decreasing pressure (to a quarter of its original value) would generally lead to an increase in molar volume (since lower pressure results in greater volume for a given amount of gas). This could also cause the molar volume to increase by a factor of 2.

4. The temperature decreasing by a factor of 0.25:
   Decreasing temperature typically leads to a decrease in molar volume, thus would not cause an increase.

Based on the analysis, the parameter changes that could cause the molar volume to increase by a factor of 2 are:

• The temperature increasing by a factor of 2.
• The pressure decreasing by a factor of 0.25.

If you need to choose only one option that directly causes the molar volume to double, the most straightforward is the temperature increasing by a factor of 2.