Question

A gas 'x' occupies 30L at 700mmHg. Calculate the volume of it will occupy at 500mmHg assuming temperature to be constant.​

Answer 1

Answer :-

The gas 'x' will occupy a volume of 42 litres at 500 mm Hg .

Explanation :-

We have :-

→ Initial volume = 30 L

→ Initial pressure = 700 mm Hg

→ Final temperature = 500 mm Hg

→ Temperature is constant .

________________________________

By Boyle's law, we have :-

P₁V₁ = P₂V₂ [ T is constant ]

Where :-

• P₁ is initial pressure .

• V₁ is initial volume .

• P₂ is final pressure .

• V₂ is final volume .

Substituting values, we get :-

⇒ 30 × 700 = 500 × V₂

⇒ 21000 = 500V₂

⇒ V₂ = 21000/500

⇒ V₂ = 42 L

Answer 2

Given :-

A  gas 'x' occupies 30L at 700mmHg

To Find :-

Volume of it will occupy at 500mmHg assuming temperature to be constant.​

Solution :-

We know that

Pressure is constant to volume

P₁V₁ = P₂V₂

V₂ = P₁V₁/P₂

V₂ = 30 × 700/500

V₂ = 30 × 7/5

V₂ = 6 × 7

V₂ = 42 L