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Assertion : For a certain amount of gas,...

Assertion : For a certain amount of gas, at constant temperature the product `pV` is always constant.
Reason : This is statement of Charle's law.

A

Assertion and reason both are correct statements and reason is correct explanation for assertion.

B

Assertion and reason both are correct statements but reason is not correct explanation for assertion.

C

Assertion is correct statement but reason is wrong statement.

D

Assertion is wrong statement but reason is correct statement.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to evaluate the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that for a certain amount of gas at constant temperature, the product \( pV \) (pressure multiplied by volume) is always constant. This is indeed a correct statement. According to the ideal gas law, \( PV = nRT \), where: - \( P \) = pressure - \( V \) = volume - \( n \) = number of moles - \( R \) = universal gas constant - \( T \) = temperature If the amount of gas (n) and the temperature (T) are constant, then \( PV \) must also be constant. ### Step 2: Understand the Reason The reason states that this is a statement of Charles' law. However, this is incorrect. Charles' law states that at constant pressure, the volume of a gas is directly proportional to its temperature (i.e., \( V/T = \text{constant} \)). The statement regarding the product \( PV \) being constant at constant temperature refers to Boyle's law, which states that for a fixed amount of gas at constant temperature, the product of pressure and volume is constant. ### Step 3: Conclusion - The assertion is correct. - The reason is incorrect. Thus, the correct answer is that the assertion is true, but the reason is false. ### Final Answer: Assertion: True Reason: False

To solve the question, we need to evaluate the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that for a certain amount of gas at constant temperature, the product \( pV \) (pressure multiplied by volume) is always constant. This is indeed a correct statement. According to the ideal gas law, \( PV = nRT \), where: - \( P \) = pressure - \( V \) = volume - \( n \) = number of moles - \( R \) = universal gas constant ...
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