Question

In an adiabatic process on a gas with $\gamma =1.4$, the pressure is increased by 0.5%. The volume decreases by about

• A. 0.36%
• B. 0.5%
• C. 0.7%
• D. 1%

Answer 1

The correct option is A 0.36%

from the relation $P{V}^{\gamma }=k$

now differentiating we get

$P\gamma V^{\gamma -1}dV+dP.V^{\gamma }=0$

by making proper rearrangements we get,

$-\frac{dV}{V}=\frac{dP}{\gamma P}$

In an adiabatic process on a gas with γ=1.4, the pressure is increased by 0.5%. The volume decreases by about$-\frac{dV}{V}=\frac{0.5}{1.4}\ast 100=0.36\%$