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At constant temperature, for a given mass of an ideal gas [1991]
- a)The ratio of pressure and volume always remains constant.
- b)Volume always remains constant.
- c)Pressure always remains constant.
- d)The product of pressure and volume always remains constant.
Correct answer is option 'D'. Can you explain this answer?
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At constant temperature, for a given mass of an ideal gas [1991]a)The ...
According to Boyle’s law at constant temperature, 
= constant
= constantMost Upvoted Answer
At constant temperature, for a given mass of an ideal gas [1991]a)The ...
Explanation:
Constant Temperature:
When an ideal gas is at constant temperature, it means that its temperature does not change throughout the process. This implies that the average kinetic energy of the gas particles remains constant.
Ideal Gas Law:
The ideal gas law states that for a given mass of an ideal gas, the product of pressure (P) and volume (V) is directly proportional to the absolute temperature (T) of the gas, i.e., PV = nRT, where n is the number of moles of the gas and R is the ideal gas constant.
Understanding the Options:
Let's analyze each option to understand which one is correct.
a) The ratio of pressure and volume always remains constant.
- This statement is incorrect because the ratio of pressure and volume is not constant for a given mass of an ideal gas at constant temperature. The product of pressure and volume remains constant, not their ratio.
b) Volume always remains constant.
- This statement is incorrect because the volume of a given mass of an ideal gas can change at constant temperature. If the pressure increases, the volume will decrease, and vice versa.
c) Pressure always remains constant.
- This statement is incorrect because the pressure of a given mass of an ideal gas can change at constant temperature. If the volume increases, the pressure will decrease, and vice versa.
d) The product of pressure and volume always remains constant.
- This statement is correct. According to the ideal gas law, for a given mass of an ideal gas at constant temperature, the product of pressure and volume remains constant. This means that if the pressure increases, the volume will decrease, and vice versa, such that their product remains constant.
Conclusion:
Based on the analysis, the correct answer is option 'D' - The product of pressure and volume always remains constant for a given mass of an ideal gas at constant temperature.
Constant Temperature:
When an ideal gas is at constant temperature, it means that its temperature does not change throughout the process. This implies that the average kinetic energy of the gas particles remains constant.
Ideal Gas Law:
The ideal gas law states that for a given mass of an ideal gas, the product of pressure (P) and volume (V) is directly proportional to the absolute temperature (T) of the gas, i.e., PV = nRT, where n is the number of moles of the gas and R is the ideal gas constant.
Understanding the Options:
Let's analyze each option to understand which one is correct.
a) The ratio of pressure and volume always remains constant.
- This statement is incorrect because the ratio of pressure and volume is not constant for a given mass of an ideal gas at constant temperature. The product of pressure and volume remains constant, not their ratio.
b) Volume always remains constant.
- This statement is incorrect because the volume of a given mass of an ideal gas can change at constant temperature. If the pressure increases, the volume will decrease, and vice versa.
c) Pressure always remains constant.
- This statement is incorrect because the pressure of a given mass of an ideal gas can change at constant temperature. If the volume increases, the pressure will decrease, and vice versa.
d) The product of pressure and volume always remains constant.
- This statement is correct. According to the ideal gas law, for a given mass of an ideal gas at constant temperature, the product of pressure and volume remains constant. This means that if the pressure increases, the volume will decrease, and vice versa, such that their product remains constant.
Conclusion:
Based on the analysis, the correct answer is option 'D' - The product of pressure and volume always remains constant for a given mass of an ideal gas at constant temperature.
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At constant temperature, for a given mass of an ideal gas [1991]a)The ratio of pressure and volume always remains constant.b)Volume always remains constant.c)Pressure always remains constant.d)The product of pressure and volume always remains constant.Correct answer is option 'D'. Can you explain this answer?
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