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Assertion : Molar volume of an ideal gas...

Assertion : Molar volume of an ideal gas at 273 . 15 K and 1 bar is 22.4 L.
Reason : Volume of a gas is inversely proportional to temperature .

A

If both assertion and reason are true and reason is the correct explanation of assertion .

B

If both assertion and reason are true but reason is not the correct explanation of assertion .

C

If assertion is true but reason is false .

D

If both assertion and reason are false .

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states that "Molar volume of an ideal gas at 273.15 K and 1 bar is 22.4 L." - The molar volume of an ideal gas at standard conditions (0°C or 273.15 K and 1 atm) is indeed approximately 22.4 L. However, at 1 bar, the molar volume is actually about 22.7 L. - Therefore, the assertion is **incorrect**. ### Step 2: Analyze the Reason The reason states that "Volume of a gas is inversely proportional to temperature." - According to Charles's Law, the volume of a gas is directly proportional to its temperature when pressure is held constant. This means that as the temperature increases, the volume also increases, and vice versa. - Therefore, the reason is also **incorrect**. ### Step 3: Conclusion Since both the assertion and the reason are incorrect, we can conclude that the correct answer is that both the assertion and reason are false. ### Final Answer Both the assertion and reason are false. ---

To solve the question, we need to analyze the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states that "Molar volume of an ideal gas at 273.15 K and 1 bar is 22.4 L." - The molar volume of an ideal gas at standard conditions (0°C or 273.15 K and 1 atm) is indeed approximately 22.4 L. However, at 1 bar, the molar volume is actually about 22.7 L. - Therefore, the assertion is **incorrect**. ...
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Knowledge Check

  • Assertion : At constant pressure, the volume of a given mass of a gas is inversely proportional to its absolute temperature. Reason : At absolute zero, the volume of a gas reduces to zero.

    A
    If both Assertion and Reason are CORRECT and Reason is the CORRECT explanation of the Assertion.
    B
    If both Assertion and Reason are CORRECT but Reason is not the CORRECT explanation of the Assertion.
    C
    If Assertion is CORRECT but Reason is INCORRECT.
    D
    If Assertion is INCORRECT but Reason is CORRECT.
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