Question

What will be the minimum pressure required to compress 500 dm3 of ai to 200 dm3 at 30°C?

Answer 1

Answer:

$\underline{\Huge{\texttt{2.5 bar}}}$

Explanation:

Given,

 

Initial

pressure, $p_1$

$= 1 \text{bar}$

Initial

volume, $V_1$

$= 500 \text{ dm}^3$

 

Final

volume, $V_2$

$= 200 \text{ dm}^3$

 

Since

the temperature remains constant, the final pressure ($p_2$)

can be calculated using Boyle’s law.

According

to Boyle’s law,

$p_1V_1=p_2V_2\\\\\implies p_2=\frac{p_1V_1}{V_2} \\\\\:\:\:\: =\frac{1+500}{200} \text{ bar}\\\\= 2.5 \text{ bar}$

Therefore,

the minimum pressure required is 2.5 bar.

Answer 2

Answer:

The pressure will be 2.5 bar.

Explanation:

Referred to the attachment.