Answer to Question #313380 in Molecular Physics | Thermodynamics for Karan

Question

Consider a thermodynamic system consisting of 3 mol of an ideal gas occupying

0.03 m3

volume at 300 K temperature. Determine its initial pressure. For this

gas, γ=1.4. It undergoes the following processes:

i) It is compressed to 0.01 m3

volume isothermally. Determine the pressure of the

gas.

ii) then it is allowed to expand adiabatically, till it attains 1 atm pressure. Determine

the final volume. (1 atm = 101325 Nm-2

)

Draw a labeled indicator diagram of these processes.

Answer 1

$p=\frac{\nu RT} V(1-(\frac V {V_1})^{\gamma-1})=3.4~atm.$