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  • During an adiabatic compression, 830 J of work is done on 2 moles of a diatomic ideal gas to reduce its volume by 50%.  The change in its temperature (in K) is nearly: (R=8.3 JK-1n

During an adiabatic compression, 830 J of work is done on 2 moles of a diatomic ideal gas to reduce its volume by 50%.  The change in its temperature (in K) is nearly: (R=8.3 JK-1 mol-1)

Option: 1

20


Option: 2

40


Option: 3

50


Option: 4

22


Answers (1)

best_answer

\mathrm{W=\Delta U}

(In adiabatic process)

Since, \mathrm{\Delta U = nC_{v} \Delta T}

\Rightarrow \mathrm{\Delta T = \frac{W}{nC_{v}}=\frac{(830)}{2\times (\frac{5}{2})\times R}}

\Rightarrow \mathrm{\Delta T =\frac{830}{5\times 8.314 }=20K}

 

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mansi

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