Question
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)
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
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
Answers
GPT-4o mini
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.**
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.**