360346
A man is climbing up a spiral staircase. His degrees of freedom are
1 1
2 2
3 3
4 4
Explanation:
Motion of the man, climbing up a spiral staircase can be described by three co-ordinate axes \({x, y}\) and \({z}\). Hence the required degrees of freedom are three. So correct option is (3)
PHXI13:KINETIC THEORY
360347
\({5 n, n}\) and \({5 n}\) moles of a monatomic, diatomic and nonlinear polyatomic gases (which do not react chemically with each other) are mixed at room temperature. The equivalent degree of freedom of the mixture is
360348
The heat capacity per mole of water is ( \(R\) is universal gas constant)
1 \(9 R\)
2 \(\dfrac{9}{2} R\)
3 \(6 R\)
4 \(5 R\)
Explanation:
We treat water like a solid. According to Dulong-Petit law the heat capacity of many solids at room temperature is equal to \(3R\). Water molecule has three atoms, two hydrogen and one oxygen. \(\therefore\) Heat capacity per mole of water is \(C=9 R \text {. }\)
PHXI13:KINETIC THEORY
360349
Assertion : Specific heat of gas at constant pressure \(\left(C_{P}\right)\) is greater than its specific heat at constant volume \(\left(C_{V}\right)\). Reason : At constant pressure, some heat is spent in expansion of the gas.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
\(C_{V}\) is used in increasing the internal energy of the gas while \(C_{P}\) is used in two ways (i) to change the internal energy and (ii) to do expansion of gas. Hence \(C_{P}>C_{V}\). So option (1) is correct.
360346
A man is climbing up a spiral staircase. His degrees of freedom are
1 1
2 2
3 3
4 4
Explanation:
Motion of the man, climbing up a spiral staircase can be described by three co-ordinate axes \({x, y}\) and \({z}\). Hence the required degrees of freedom are three. So correct option is (3)
PHXI13:KINETIC THEORY
360347
\({5 n, n}\) and \({5 n}\) moles of a monatomic, diatomic and nonlinear polyatomic gases (which do not react chemically with each other) are mixed at room temperature. The equivalent degree of freedom of the mixture is
360348
The heat capacity per mole of water is ( \(R\) is universal gas constant)
1 \(9 R\)
2 \(\dfrac{9}{2} R\)
3 \(6 R\)
4 \(5 R\)
Explanation:
We treat water like a solid. According to Dulong-Petit law the heat capacity of many solids at room temperature is equal to \(3R\). Water molecule has three atoms, two hydrogen and one oxygen. \(\therefore\) Heat capacity per mole of water is \(C=9 R \text {. }\)
PHXI13:KINETIC THEORY
360349
Assertion : Specific heat of gas at constant pressure \(\left(C_{P}\right)\) is greater than its specific heat at constant volume \(\left(C_{V}\right)\). Reason : At constant pressure, some heat is spent in expansion of the gas.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
\(C_{V}\) is used in increasing the internal energy of the gas while \(C_{P}\) is used in two ways (i) to change the internal energy and (ii) to do expansion of gas. Hence \(C_{P}>C_{V}\). So option (1) is correct.
360346
A man is climbing up a spiral staircase. His degrees of freedom are
1 1
2 2
3 3
4 4
Explanation:
Motion of the man, climbing up a spiral staircase can be described by three co-ordinate axes \({x, y}\) and \({z}\). Hence the required degrees of freedom are three. So correct option is (3)
PHXI13:KINETIC THEORY
360347
\({5 n, n}\) and \({5 n}\) moles of a monatomic, diatomic and nonlinear polyatomic gases (which do not react chemically with each other) are mixed at room temperature. The equivalent degree of freedom of the mixture is
360348
The heat capacity per mole of water is ( \(R\) is universal gas constant)
1 \(9 R\)
2 \(\dfrac{9}{2} R\)
3 \(6 R\)
4 \(5 R\)
Explanation:
We treat water like a solid. According to Dulong-Petit law the heat capacity of many solids at room temperature is equal to \(3R\). Water molecule has three atoms, two hydrogen and one oxygen. \(\therefore\) Heat capacity per mole of water is \(C=9 R \text {. }\)
PHXI13:KINETIC THEORY
360349
Assertion : Specific heat of gas at constant pressure \(\left(C_{P}\right)\) is greater than its specific heat at constant volume \(\left(C_{V}\right)\). Reason : At constant pressure, some heat is spent in expansion of the gas.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
\(C_{V}\) is used in increasing the internal energy of the gas while \(C_{P}\) is used in two ways (i) to change the internal energy and (ii) to do expansion of gas. Hence \(C_{P}>C_{V}\). So option (1) is correct.
360346
A man is climbing up a spiral staircase. His degrees of freedom are
1 1
2 2
3 3
4 4
Explanation:
Motion of the man, climbing up a spiral staircase can be described by three co-ordinate axes \({x, y}\) and \({z}\). Hence the required degrees of freedom are three. So correct option is (3)
PHXI13:KINETIC THEORY
360347
\({5 n, n}\) and \({5 n}\) moles of a monatomic, diatomic and nonlinear polyatomic gases (which do not react chemically with each other) are mixed at room temperature. The equivalent degree of freedom of the mixture is
360348
The heat capacity per mole of water is ( \(R\) is universal gas constant)
1 \(9 R\)
2 \(\dfrac{9}{2} R\)
3 \(6 R\)
4 \(5 R\)
Explanation:
We treat water like a solid. According to Dulong-Petit law the heat capacity of many solids at room temperature is equal to \(3R\). Water molecule has three atoms, two hydrogen and one oxygen. \(\therefore\) Heat capacity per mole of water is \(C=9 R \text {. }\)
PHXI13:KINETIC THEORY
360349
Assertion : Specific heat of gas at constant pressure \(\left(C_{P}\right)\) is greater than its specific heat at constant volume \(\left(C_{V}\right)\). Reason : At constant pressure, some heat is spent in expansion of the gas.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
\(C_{V}\) is used in increasing the internal energy of the gas while \(C_{P}\) is used in two ways (i) to change the internal energy and (ii) to do expansion of gas. Hence \(C_{P}>C_{V}\). So option (1) is correct.
