Question

What will be the minimum pressure required to compress 500 $dm^{3}$ of air at 1 bar to 200 $dm^{3}$ at 30°C?

Answer 1

Given,

Volume of gas ${ V }_{ 1 }= 500dm^3$

Pressure of gas ${ P }_{ 1 }  = 1 bar$

Volume of compressed gas ${ V }_{ 2 }  = 200dm^3$  

Let ${ P }_{ 2 }$ be the pressure required to compress the gas.

Therefore, at constant temperature  

Boyle’s Law is ${ { P }_{ 1 }V }_{ 1 }={ P }_{ 2 }{ V }_{ 2 }$

${ P }_{ 2 }=\frac { 1\times 500 }{ 200 } =2.5\quad bar$

Hence, minimum pressure required = 2.5 bar.

Answer 2

Answer:

The pressure will be 2.5 bar.