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Thermodynamics question

2002 · Q117
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Thermodynamics question

2002 · Q117

NEETChemistryThermodynamicsMCQ+4 / −1
2 mole of ideal gas at 27oC temperature is expanded reversibly from 2 lit. to 20 lit. Find entropy change. (R = 2 cal/mol K)
  1. A
    92.1
  2. B
    0
  3. C
    4
  4. D
    9.2
View written solutionFree

Correct answer: D

For isothermal reversible expansion

w = q = nRT ×\times× 2.303 log⁡v2v1\log {{{v_2}} \over {{v_1}}}logv1​v2​​

= 2RT ×\times× 2.303 log⁡202\log {{{20}} \over {{2}}}log220​

= 2 × 2 × T × 2.303 × 1 = 9.2 T

Entropy change, Δ\Delta ΔS = qT{q \over T}Tq​ = 9.2TT{{9.2T} \over T}T9.2T​ = 9.2 cal/mol K

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