Question

100cm³of a gas enclosed in a vessel maintained at a pressure of 1400 tors is allowed to expand the 250 cm³ under temperature what would be the pressure​

Answer 1

Answer:-

Initial Pressure of the gas $\sf{ (P_1) }$= 1400 torr.

Initial Volume of the gas$\sf{ (V_1) }$= 100 cm³

Final Volume of the gas$\sf{(V_2)}$ = 250 cm³.

Let , the final Pressure be (P2) .

We know that,

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

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

(or)

PV = k (Constant).

(or)

$\sf{P_1V_1 = P_2V_2}$

→ (1400)(100) = $\sf{P_2}$250

→ $\sf{P_2}$ = (1400)(100)/250

→ $\sf\large{P_2} = 560\:\: torr.$

Hence, the Pressure of the gas would be 560 torr.