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Statement-1 : C(P)-C(upsilon) = R is tru...

Statement-1 : `C_(P)-C(upsilon) = R` is true for monoatomic gases only.
Statement-2 : The relation applies equally to all gases.

A

Statement-1 is ture, statement-2 is true and statement-2 is correct explanation of statement-1

B

Statement-1 is ture, statement-2 is true but statement-2 is not correct explanation of statement-1

C

Statement-1 is true, but statement-2 is false.

D

Statement-1 is false, but statement-2 is true.

Text Solution

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The correct Answer is:
To solve the problem, we need to analyze both statements given in the question regarding the relationship between specific heats of gases. ### Step 1: Understand the relationship between specific heats The relationship \( C_P - C_V = R \) is known as the Mayer's relation, where: - \( C_P \) = specific heat at constant pressure - \( C_V \) = specific heat at constant volume - \( R \) = universal gas constant ### Step 2: Evaluate Statement 1 Statement 1 claims that the equation \( C_P - C_V = R \) is true for monoatomic gases only. - This statement is incorrect. The relation \( C_P - C_V = R \) holds true for all ideal gases, not just monoatomic gases. It applies to diatomic and polyatomic gases as well. ### Step 3: Evaluate Statement 2 Statement 2 claims that the relation applies equally to all gases. - This statement is correct. The relation \( C_P - C_V = R \) is valid for all ideal gases, regardless of their atomicity (monoatomic, diatomic, or polyatomic). ### Step 4: Conclusion Based on the evaluations: - Statement 1 is false. - Statement 2 is true. Thus, the correct option is that Statement 1 is false and Statement 2 is true. ### Final Answer The correct option is D: Statement 1 is false and Statement 2 is true. ---
To solve the problem, we need to analyze both statements given in the question regarding the relationship between specific heats of gases. ### Step 1: Understand the relationship between specific heats The relationship \( C_P - C_V = R \) is known as the Mayer's relation, where: - \( C_P \) = specific heat at constant pressure - \( C_V \) = specific heat at constant volume - \( R \) = universal gas constant ...
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Knowledge Check

  • Statement-1 : For a gas R//C_(upsilon) = 0.4 . The gas must be diatomic. Statement-2 : For diatomic gases, C_(upsilon) = (5)/(2) R .

    A
    Statement-1 is ture, statement-2 is true and statement-2 is correct explanation of statement-1
    B
    Statement-1 is ture, statement-2 is true but statement-2 is not correct explanation of statement-1
    C
    Statement-1 is true, but statement-2 is false.
    D
    Statement-1 is false, but statement-2 is true.

  • C_(v) values for monoatomic and diatomic gases respectively are

    A
    `1/2 R, 3/2 R`
    B
    `3/2 R, 5/2 R`
    C
    `5/2 R, 7/2 R`
    D
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  • Statement-1 : Noble gases have high ionisation energy. Statement-2 : Noble gases belong to 18^(th) group.

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-3
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-3
    C
    Statement-1 is True, Statement-2 is False
    D
    Statement-1 is False, Statement-2 is True

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