TS EAMCET 5-Aug-2021 Shift 2 Question Paper

Given, Let, initial volume of gas, Vi=V
Final volume of gas, Vf=3V
Initial temperature, Ti=27∘C=300K
Final temperature, Tf= ?
As we know that,
Adiabatic relation between T and V,
TVγ−1= constant
where, γ is adiabatic constant i.e. γ=‌

Cp

CV

=‌

5

3

∴‌‌TiViγ−1=TfVfγ−1
⇒‌‌Tf=‌

TiViγ−1

Vfγ−1

=300(‌

V

3V

)‌

5

3

−1
⇒‌‌Tf=300(‌

1

3

)2∕3=300(‌

1

9

)1∕3=144.2K