TS EAMCET 5-Aug-2021 Shift 1 Question Paper

Given,
Initial pressure, pi=p,
and final pressure, pf=p−0.1% of p=p−‌

0.1

100

p
adiabatic constant, γ=‌

Cp

CV

=‌

5

3

Vi,Vf be the initial and final volumes and Vi=V.
As we know that, in adiabatic process, pVγ= constant
∴‌‌piViγ=pfVfγ ⇒‌‌pVγ=(p−‌

0.1

100

p)Vfγ
⇒‌‌Vγ=(‌

99.9

100

)Vfγ⇒Vfγ=(‌

100

99.9

)Vγ
⇒‌‌Vf=(‌

100

99.9

)‌

1

γ

V
∴ Change in volumetric %=‌

∆V

V

×100
⇒‌‌‌

∆V

V

×100=‌

Vf−Vi

Vi

×100
=‌

( 100 99.9 ) 1 γ V−V

V

×100
=[(‌

100

99.9

)‌

3

5

−1]×100=0.06%