Question

$600c{m}^3$ of a gas at a pressure of 750 mm is compressed to $500c{m}^3$. Taking the temperature to remain unchanged, find the increase in pressure.

• A. 180 mm
• B. 900 mm
• C. 945 mm
• D. 150 mm

Answer 1

The correct option is D

150 mm

According to Boyle's law: $P_1{V}_1=P_2{V}_2$

Here $P_1=750mm:V_2=500c{m}^3{V}_1=600c{m}^3$

$\Rightarrow P_2=\frac{750\times 600}{500}$

$\Rightarrow P_2=900mm$

Therefore, the required increase in pressure of gas = (900 - 750)mm = 150 mm.