Question

2 litre of a gas is enclosed in a vessel when the pressure is 760 mm. If the temperature remains constant. Calculate the pressure when:

(i) The volume changes to 4 ${dm}^3$.

(ii) The volume is increased by one and half times

Answer 1

When temperature is constant

(1) $P_1{V}_1=P_2{V}_2$

$\Rightarrow 2\times 460=4\times x$

$\Rightarrow x=380ofHg$

$\left(P_1{V}_1\right)=P_2{V}_2$

$V_2=V_1\times \frac{3}{2}=\frac{3}{2}{V}_1$

$460\times V/1=\frac{3}{2}V/1\times P_2$

$P_2=\frac{4}{3}\times 380$

$\approx 506.67mm$ of $Hg$