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Entropy

When 1 mole o...

Question

When 1 mole of an ideal gas at 20 atm pressure and 15 L volume expands such that the final pressure becomes 10 atm and the final volume becomes 60 L. Calculate entropy change for the process. $(C_{p . m .} = 30.96 K m o l e^{- 1} K^{- 1})$

A

80.2 J . k^{- 1} m o l^{- 1}

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B

62.42 k J . k^{- 1} m o l^{- 1}

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C

120 \times 10^{2} J . k^{- 1} m o l^{- 1}

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D

27.22 J . k^{- 1} m o l^{- 1}

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Solution

The correct option is D $27.22 J . k^{- 1} m o l^{- 1}$
$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$ (Ideal gas law)
$\frac{T_{2}}{T_{1}} = \frac{6}{3}$
$Δ S = 2.303 \times n {C_{p} l o g_{10} \frac{T_{2}}{T_{1}} + R l o g_{10} \frac{P_{1}}{P_{2}}}$
$Δ S = 2.303 \times 1 {30.96 l o g_{10} \frac{6}{3} + R l o g_{10} \frac{20}{10}}$
$Δ S = 27.22 J . k^{- 1} m o l^{- 1}$

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Similar questions

Q. When 1 mole of an ideal gas at 20 atm pressure and 15 L volume expands such that the final pressure becomes 10 atm and the final volume becomes 60 L. Calculate entropy change for the process

(C_{p, m} = 30.96 J m o l e^{- 1} K^{- 1})

Q. 1 mole of an ideal gas at 20 atm pressure and 15 L volume expands such that the final pressure becomes 10 atm and the final volume becomes 60 L. Calculate the change in entropy for the process.

(C_{p . m} = 30 {J mole}^{- 1} K^{- 1}, R = \frac{25}{3} J/mol K, ln 2 = 0.7, ln 3 = 1.1)

.

Q. 1 mole of an ideal gas at

25^{\circ} C

is subjected to expand reversibly 10 times of its initial volume. Calculate the change in entropy of expansions.

Q. When one mole of an ideal gas at 30 atm pressure and 12 L volume expands such that the final pressure becomes 15 atm and the final volume becomes 48 L. Calculate entropy change for the process. [Given that C_p = 29.1 J mol^–1 K^–1, R = 8.314 J mol^–1 K^–1 and log 2 = 0.3]

जब 30 atm दाब पर तथा 12 L आयतन वाली एक मोल आदर्श गैस इस प्रकार प्रसारित होती है कि अंतिम दाब 15 atm तथा अंतिम आयतन 48 L हो जाता है। प्रक्रम के लिए एन्ट्रॉपी परिवर्तन की गणना कीजिए। [दिया गया है कि C_p = 29.1 J mol^–1 K^–1, R = 8.314 J mol^–1 K^–1 तथा log 2 = 0.3]

Q. One mole of an ideal monatomic gas expands isothermally against a constant external pressure of

1

atm from an initial volume of

1

L to a state where its final pressure becomes equal to external pressure. If the initial temperature of the gas is

300

K then the total entropy change of system in the given process is:

[R = 0.082 L a t m m o l^{- 1} K^{- 1} = 8.3 J m o l^{- 1} K^{- 1}]

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