Question

At a pressure of 152 cm. Hg., a gas 'X' has a volume of 50 cc. At what pressure will the volume be 30 cc ,temperature remaining constant throughout. a]250 cm Hg b]253.3 cm Hg c]273 cm Hg

Answer 1

Answer:-

Given:

Initial Pressure $\sf(P_1)$ = 152 cm Hg

Initial Volume $\sf(V_1)$ = 50 cc

Final Volume $\sf(V_2)$ = 30 cc

We know that,

Boyle's law of gases states that at constant temperature the pressure of a gas is inversely proportional to its Volume.

$\sf \implies \: P \: \: \: \alpha \: \: \: \frac{1}{V}$

→ PV = k(Constant)

$\sf \implies \: P_{1}V_{1} = P_{2}V _{2} \\ \\ \sf \implies \: (152)(50) = P_{2}(30) \\ \\ \sf \implies \: P _{2} = \frac{150 \times 50}{30} \\ \\ \implies \: \sf{ \large{ \: P _{2} = 250 \: cm \: Hg.}}$

Hence, the pressure of the gas would be 250 cm Hg(a).