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.

Respuesta :

Additional pressure required : 175 mm

Further explanation

Boyle's Law  

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

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

V₁=250 ml

P₁=700 mmHg

[tex]\tt V_2=\dfrac{4}{5}\times 250=200~ml[/tex]

[tex]\tt P_2=\dfrac{P_1.V_1}{V_2}\\\\P_2=\dfrac{700\times 250}{200}=875~mmHg[/tex]

Additional pressure :

[tex]\tt 875-700=175~mm[/tex]