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When one mole of an ideal gas is compres...

When one mole of an ideal gas is compressed to half of its initial volume and simultaneously heated to twice its initial temperature, the change in entropy of gas `(Delta S)` is:

A

`C_(p,m)ln2`

B

`C_(v,m)ln2`

C

`R ln 2`

D

`(C_(v,m)-R)ln2`

Text Solution

Verified by Experts

The correct Answer is:
D
`DeltaS=nC_(v,m)ln.(T_(2))/(T_(1))+nRln.(V_(2))/(V_(1))`
`=C_(v,m)ln2+Rln((1)/(2))`
`DeltaS=(C_(v,m)-R)ln2`
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NARENDRA AWASTHI-THERMODYNAMICS-Exercise
  1. If one mole of an ideal gas (C(p.m.)=(5)/(2)R) is expanded isothermall...

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  2. If one mole of an ideal gas Cp = 5/2 R is expanded isothermally at 300...

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  3. When one mole of an ideal gas is compressed to half of its initial vol...

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  4. What is the change in entropy when 2.5 mole of water is heated from 27...

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  5. Calculate standard entropy change in the reaction Fe(2)O(3)(s)+3H(2)...

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  6. Calculate the entropy change (J//mol K) of the given reaction. The mol...

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  7. Given Delta(r)S^(@)=-266 and the listed [S(m)^(@)value] Calculate S^(...

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  8. The entropy change for a phase transformation is :

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  9. What is the melting point of benzene if DeltaH("fusion")= 9.95kJ//mol ...

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  10. DeltaS for freezing of 10 g of H(2)O(l) (enthalpy of fusion is 80 cal/...

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  11. Chloroform has DeltaH("vaporization")=29.2 kJ//"mol" and boils at 61.2...

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  12. The entropy if vaporisation of benzene is 85JK^(-1) mol^(-1). When 117...

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  13. Identify the correct statement regarding entropy

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  14. Calculate DeltaS for following process : underset("at" 100K)(X(s)) ...

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  15. For a perfectly crystalline solid C(p.m.)=aT^(3), where ais constant. ...

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  16. Consider the following spontaneous reaction 3X(2)(g)rarr2X(3)(g). What...

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  17. For the reaction 2H(g)rarr H(2)(g), the sign of DeltaH and DeltaS resp...

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  18. Consider the following reaction. C(6)H(6)(l)+(15)/(2)O(2)(g)rarr6CO(...

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  19. Consider the following reaction at temperature T : CH(2)=CH(2)(g) +...

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  20. For a process to be spontaneous, DeltaG must be………… .

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