Answered

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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?

Sagot :

Ardni313idn

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  

[tex]\tt \rm p_1V_1=p_2.V_2\\\\\dfrac{p_1}{p_2}=\dfrac{V_2}{V_1}[/tex]

Input the value :

P₂=P₁V₁/V₂

P₂=100 x 0.4 / 0.05

P₂=800 kPa

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