Question

At constant temperature 400 mL of a gas is found to
have a pressure of 740 mm. What will be the pressure
of the gas if its volume (a) is doubled, (b) is halved?​

Answer 1

Answer:-

(a) = 370mm

(b) = 1480mm

Explanation:-

Given:

AT A CONSTANT TEMPERATURE

• pressure of gas = 740mm
• volume of gas = 400ml

To Find:

Pressure after,

(a) volume is doubled

(b) volume is halved

Solution:-

From Boyle's law

If temp. of a given mass of a gas is constant, then

PV = constant

(a) Pressure after volume is doubled

$P_1 V_1 = P_2V_2$

$740 \times 400 = P_2 \times 2(400)$

$740 = P_2 \times 2$

$\bold{P_2 = 370 mm}$

(b) pressure after volume is halved

$740 \times 400 = P_2 \times \dfrac{1}{2}(400)$

$740 = P_2 \times \dfrac{1}{2}$

$740 \times 2 = P_2$

$\bold{P_2 = 1480mm}$