Question

A gas cylinder has a volume of 0.4 m? It contains butane at a pressure of 100 kPa and a temperature of

20°C. What pressure is needed to compress the gas to a volume of 0.05 m² at the same temperature?

Answer 1

The pressure needed : 800 kPa

Further explanation

Given

V₁ = 0.4 m³

P₁ = 100 kPa

T₁ = 20 + 273 = 293 K

V₂ = 0.05 m³

T₂ = T₁ = 293 K

Required

The final pressure(P₂)

Solution

Boyle's Law

At a fixed temperature, the gas volume is inversely proportional to the pressure applied

`\tt \rm p_1V_1=p_2.V_2\\\\(p_1)/(p_2)=(V_2)/(V_1)`

Input the value :

P₂=P₁V₁/V₂

P₂=100 x 0.4 / 0.05

P₂=800 kPa