Question

At 300 mm Hg, a gas has a volume of 380 L. What is its volume at standard pressure?

Answer 1

`V_2 = 150\ mmHg`

Step-by-step explanation:

Given

Initial Pressure = 300 mmHg

Initial Volume = 380 L

Required

Volume of the gas at standard pressure

This can be solved using Boyle's law;

Which states that
`P_1V_1 = P_2V_2`

Where

`P_1 = Initial\ Pressure = 300\ mmHg\\P_2 = Standard\ Pressure = 760\ mmHg\\V_1 = Initial\ Volume = 380L\\V_2 = Final\ Volume = ?`

Substitute the above values in the Boyle's law equation

`P_1V_1 = P_2V_2` becomes

`300 * 380 = 760 * V_2`

`114000 = 760V_2`

Divide both sided by 760

`(114000)/(760) = (760V_2)/(760)`

`(114000)/(760) = V_2`

`150 = V_2`

`V_2 = 150\ mmHg`

Hence, the volume of the gas as standard pressure is 150 mmHg