Question

Gas sample contained in a cylinder equipped with a moveable piston occupied 300.0 mL at a pressure of 2.00atm. What would be the final pressure if the volume were increased to 500.00 mL at a constant temperature?

Answer 1

Answer:

The final pressure of the gas sample at constant temperature is 1.20 atm.

Explanation:

Boyle's Law : Volume occupied by fixed amount of gas at a given temperature is inversely proportional to pressure .(moles, temperature are constant )

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

$P = \frac{k}{V}$

on transposing ,

PV = constant

$P_{1}V_{1} = P_{1}V_{1}$............(1)

Initial pressure = P1 = 2.00 atm

Final pressure = P2 = ?

Initial volume = V1 = 300.0 mL

Final volume = V2 = 500.0 mL

Putting values of P1 ,V1, V2 in equation (1) and solving for P2

$P_{1}V_{1} = P_{1}V_{1}$

$2\times 300 = P_{2}\times 500$

$P_{2} = \frac{2\times 300 }{500}$

$P_{2} = 1.2$

P2 = 1.20 atm  at constant temperature