Question

The volume of a certain amount of gas at 15°C is 100cm of Hg pressure is 80ml. The gas is expanded to 200ml keeping the temperature constant. Calculate the pressure of the expanded gas.
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Answer 1

V1 = 80ml

P1 = 100cm

V2 =160ml

P2 = 740 mm

P1V1 = P2V2

P2 = P1V1/V2 = 100 x 80 = 50 cm of Hg

160.

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Answer 2

AnswEr :

From the Question,

• Initial Volume Occupied = 80 ml
• Final Volume = 200 ml
• Pressure on the gas = 100cm of Hg

Temperature of the system is kept constant.

Boyle's Law

• The pressure on an ideal gas is inversely proportional to the volume it occupies, under constant temperature.

• P ∝ 1/V

Thus,

PV = Constant

$\longrightarrow$ P₁V₁ = P₂V₂

$\longrightarrow$ 100 × 80 = P × 200

$\longrightarrow$ 80 = 2P

$\longrightarrow$ P = 40cm of Hg

Pressure on the expanded gas is 40cm of Hg

In accordance with Boyle's Law, we know that, pressure is inversely proportional to volume occupied by the gas. If the volume is increased by a factor of 2, the pressure would decrease by a factor of 2.