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  • Given below are two statements : Statement - I : When amount of an ideal gas undergoes adiabatic change from state <img alt="\left(\mathrm{

Given below are two statements :
Statement - I : When \mu amount of an ideal gas undergoes adiabatic change from state \left(\mathrm{P}_{1}, \mathrm{~V}_{1}, \mathrm{~T}_{1}\right)  to state (\mathrm{P}_{2}, \mathrm{~V}_{2}, \mathrm{~T}_{2}), then work done is \mathrm{W}=\frac{\mu \mathrm{R}\left(\mathrm{T}_{2}-\mathrm{T}_{1}\right)}{1-\gamma}, where \gamma=\frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{V}}} and \mathrm{R}= universal gas constant.

Statement - II : In the above case, when work is done on the gas, the temperature of the gas would rise.

Choose the correct answer from the options given below:
 

Option: 1

Both statement-I and statement-II are true.
 


Option: 2

Both statement-I and statement-II are false.
 


Option: 3

Statement-I is true but statement-II is false.
 


Option: 4

Statement-I is false but statement-II is true.


Answers (1)

best_answer

W=\frac{\mu R\left(T_{2}-T_{1}\right)}{1-\gamma}

When work is done on the gas. W is taken as -ve.

Here (1- \gamma) will be negative

\mathrm{\therefore T_{2}>T_{1}}

Temperature will rise

Hence the correct option is 1

Posted by

vinayak

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