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PHXI13:KINETIC THEORY

360385 Using equipartition of energy, the specific heat $(i n J k g^{- 1} K^{- 1})$ of aluminium at room temperature can be estimated to be (atomic weight of aluminium $= 27$ )

1 410

2 25

3 1850

4 925

Explanation:

According to Dulong-Petit law many solids at room temperature $C_{V} = 3 R$ . For solids when heat is given their volume approximately remain constant.
$Δ U = Δ Q$
For on mole
Using equipartition of energy, we have
$3 R T = M C T$
$C = \frac{3 R}{M} = \frac{3 \times 8.314}{27 \times 10^{- 3}}$
$∴ C = 925 J / k g K$

JEE - 2015

PHXI13:KINETIC THEORY

360386 Assertion :
Heat capacity of a solid per mole is $3 R$ .
Reason :
In solids the average K.E of an atom is $3 k_{B} T$ .

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.

NEET DIGITAL LIBRARY

PHXI13:KINETIC THEORY

360385 Using equipartition of energy, the specific heat $(i n J k g^{- 1} K^{- 1})$ of aluminium at room temperature can be estimated to be (atomic weight of aluminium $= 27$ )

1 410

2 25

3 1850

4 925

Explanation:

JEE - 2015

PHXI13:KINETIC THEORY

360386 Assertion :
Heat capacity of a solid per mole is $3 R$ .
Reason :
In solids the average K.E of an atom is $3 k_{B} T$ .

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.

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