Question

as a gas occupied a volume of 250cc at 250at 700mm pressure temperature,25degree Celsius what additional pressure is required?reduse the volume to its 4/5at same temperature.

Answer 1

Additional pressure required : 175 mm

Further explanation

Boyle's Law

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

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

V₁=250 ml

P₁=700 mmHg

`\tt V_2=(4)/(5)* 250=200~ml`

`\tt P_2=(P_1.V_1)/(V_2)\\\\P_2=(700* 250)/(200)=875~mmHg`

Additional pressure :

`\tt 875-700=175~mm`