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With increase in pressure, the thermal conductivity of an ideal gas __________.
- a)increases
- b)remains constant
- c)decrease
- d)remains constant
Correct answer is option 'B'. Can you explain this answer?
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With increase in pressure, the thermal conductivity of an ideal gas _...
For an ideal gas, thermal conductivity is given as
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Where ⊽ is the mean travel velocity of molecules Cv, is the specific heat of gas at constant volume, L is the mean free path of molecules
and is the density of the gas.
and is the density of the gas.As pressure increases, density of gas increases but based on experiments it is observed that the mean free path diminishes in the same proportions. Thus the product
remains constant.
remains constant.Also ⊽ depends upon temperature only hence if temperature is constant, change in pressure does not bring any change in ⊽ Also for an ideal gas Cv is independent of pressure.
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With increase in pressure, the thermal conductivity of an ideal gas _...
For an ideal gas, thermal conductivity is given as
Where ⊽ is the mean travel velocity of molecules Cv, is the specific heat of gas at constant volume, L is the mean free path of molecules and is the density of the gas.
and is the density of the gas.As pressure increases, density of gas increases but based on experiments it is observed that the mean free path diminishes in the same proportions. Thus the product remains constant.
remains constant.Also ⊽ depends upon temperature only hence if temperature is constant, change in pressure does not bring any change in ⊽ Also for an ideal gas Cv is independent of pressure.
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With increase in pressure, the thermal conductivity of an ideal gas _...
Effect of Pressure on Thermal Conductivity of an Ideal Gas
Pressure has a significant impact on the thermal conductivity of an ideal gas.
Explanation:
Basic Concept:
- Thermal conductivity is a measure of a material's ability to conduct heat.
- In the case of an ideal gas, the thermal conductivity is primarily dependent on the mean free path of the gas molecules and their collision frequency.
Effect of Pressure:
- As pressure increases, the density of the gas increases as well.
- With higher density, the mean free path of the gas molecules decreases.
- Decrease in mean free path leads to an increase in the number of collisions between gas molecules.
- More collisions result in more efficient heat transfer within the gas.
Result:
- Due to the increased number of collisions at higher pressures, the thermal conductivity of an ideal gas remains constant.
Therefore, in the given scenario, the correct answer is that the thermal conductivity of an ideal gas remains constant with an increase in pressure.
Pressure has a significant impact on the thermal conductivity of an ideal gas.
Explanation:
Basic Concept:
- Thermal conductivity is a measure of a material's ability to conduct heat.
- In the case of an ideal gas, the thermal conductivity is primarily dependent on the mean free path of the gas molecules and their collision frequency.
Effect of Pressure:
- As pressure increases, the density of the gas increases as well.
- With higher density, the mean free path of the gas molecules decreases.
- Decrease in mean free path leads to an increase in the number of collisions between gas molecules.
- More collisions result in more efficient heat transfer within the gas.
Result:
- Due to the increased number of collisions at higher pressures, the thermal conductivity of an ideal gas remains constant.
Therefore, in the given scenario, the correct answer is that the thermal conductivity of an ideal gas remains constant with an increase in pressure.
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With increase in pressure, the thermal conductivity of an ideal gas __________.a) increasesb) remains constantc) decreased) remains constantCorrect answer is option 'B'. Can you explain this answer?
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