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Entropy for a Reversible Process

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

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 $27.22 J . k^{- 1} m o l^{- 1}$
$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$
$\frac{T_{2}}{T_{1}} = \frac{6}{3}$
$Δ S = 2.303 \times n {C_{p} {log}_{10} \frac{T_{2}}{T_{1}} + R l o g_{10} \frac{P_{1}}{P_{2}}}$
$Δ S = 2.303 \times 1 {30.96 l o g_{10} \frac{6}{3} + R l o g_{10} \frac{20}{10}}$
$Δ S = 27.22 J . k^{- 1} m o l^{- 1}$

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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 K 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. 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. 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. 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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