Question

200ml of a gas 'X' is collected at 5 atmosphere pressure. If the temperature remain constant, calculate the volume of the gas at 152cm pressure of Hg.

Answer 1

Given:-

→ Initial volume of the gas = 200mL

→ Initial pressure = 5 atm

→ Final pressure = 152 cm Hg

To find:-

→ Final volume of the gas.

Solution:-

Firstly, let's convert the final pressure of the gas from cm Hg to atm.

=> 1 cm Hg = 1/76 atm

=> 152 cm Hg = 152×1/76

=> 2 atm

Now, according to Boyle's Law , we know that :-

P₁V₁ = P₂V₂ [T is constant]

Where :-

• P₁ is the initial pressure.

• V₁ is the initial volume.

• P₂ is the final pressure.

• V₂ is the final volume.

=> 200×5 = 2×V₂

=> 1000 = 2V₂

=> V₂ = 1000/2

=> V₂ = 500 mL

Thus, required volume of the gas

is 500mL.

Some Extra Information:-

Boyle's law : This law describes the pressure-volume relationship of gases at constant temperature. The law states that :-

The volume of a fixed mass of a gas is inversely proportional to its pressure at a constant temperature.