Question

The initial pressure and volume of a gas enclosed in a cylinder are 2 × 10⁵ N/m² and 6 × 10^-3 m³ respectively. If the work done in compressing the gas at constant pressure is 150 J. find the final volume of the gas.

Answer 1

Given data,

ρ = 2 × 10⁵ N/m² 

Vi = 6 × 10^-3

W = - 150 J

V_f = ?

W = P(V_f - V_i)

V_f = V_i + `"W"/"P"`

`= 6 xx 10^-3 + ((- 150)/(2 xx 10^5))`

`= 6 xx 10^-3 + (- 75 xx 10^-5)`

`= 6 xx 10^-3 - 0.75 xx 10^-3`

`"V"_"f" = 5.25 xx 10^-3 "m"^3`

Flnal volume of the gas is 5.25 × 10^-3 m³.