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As per second law of thermodynamics a pr...

As per second law of thermodynamics a process taken place spontaneously if and only if the entropy of the universe increases due to the process. Change in entropy is given by
`Delta S = (Q_(rev))/(T)`
What is the change in entropy of the universe due to the following reaction occuring at `27^(@)C` ?
`A + 2B rarr C + 2D, Delta H = +1.8 kJ mol^(-1)`
Molar entropy values of A, B, C and D are 1,2,3 and `4 JK^(-1) mol^(-1)` respectively.

A

0

B

`6JK^(-1) mol^(-1)`

C

`8JK^(-1) mol^(-1)`

D

`1.2 JK^(-1) mol^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A

`Delta S_("universe") = Detla S_("system") + Delta S_("surroundings")`
`= (Sigma S_(P)- Sigma S_(R )) + ((-Delta H_("system"))/(T))`
`= (2(4) + 3-2(2)-1) + ((-1.8 xx 10^(3))/(300))`
`= 6-6 = 0`
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Knowledge Check

  • As per second law of thermodynamics a process taken place spontaneously if and only if the entropy of the universe increases due to the process. Change in entropy is given by Delta S = (Q_(rev))/(T) A gas C_(V) = (0.2 T) Cal K^(-1) . What is the change in its entropy when one mole of it is heated from 27^(@)C to 127^(@)C at constant volume ?

    A
    `20calK^(-1) mol^(-1)`
    B
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    C
    `35calK^(-1) mol^(-1)`
    D
    `25calK^(-1) mol^(-1)`
  • As per second law of thermodynamics a process taken place spontaneously if and only if the entropy of the universe increases due to the process. Change in entropy is given by Delta S= (Q_("rev"))/(T) A gas C_(V) = (0.2T) "Cal" K^(-1) . What is the change in its entropy when one mole of it is heated from 27^(@)C " to" 127^(@)C at constant volume?

    A
    `20 "cal "K^(-1) mol^(-1)`
    B
    `15 "cal "K^(-1) mol^(-1)`
    C
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    D
    `25 "cal "K^(-1) mol^(-1)`
  • For change in entropy, units are

    A
    mol/lit
    B
    `mol. lit^(-1) sec^(-1)`
    C
    `J. mol^(-1) K^(-1)`
    D
    `s^(-1)`
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