Question

(b) A gas occupies 1 litre of volume at temperature of 7°C under a
pressure of 700 mm of He. Find its volume at 27 °C temperature
and 600 mm of Hg pressure.​

Answer 1

Correct question:

A gas occupies 1L of volume at a temperature of 7°C under a pressure of 700mm of Hg . Find its volume at 27°C temperature and at under a pressure of 600 mm of Hg

Note : Bolded text it to be corrected!

Given:

• A gas occupies volume of 1L at 7°C & at pressure 700mm of Hg

To find:

• Volume of gas at a temperature of 27°C & at a pressure of 600mm of Hg

Solution:

As we know that

Any gas occupies 22.4L of volume at a temperatir of 0°C and pressure of 1atm = 760mm of Hg

Given,

1L is occupied at 7°C and at pressure of 700mm of Hg

Using

P₁V₁/T₁ = P₂V₂/T₂

Simplifying

V₂ = P₁V₁T₂/T₁P₂

Where

• P₁ : Pressure of gas 1 = 700mm of Hg
• P₂ : Pressure of gas 2 = 600mm of Hg
• V₁ : Volume of gas 1 = 1L
• V₂ : Volume of gas 2 = ?
• T₁ : Temperature of gas 1 = 7°C
• T₂ : Temperature of gas 2 = 27°C

Substituting the values we have

→ V₂ = 700 × 1 × 27/7 × 600

→ V₂ = 189/42

→ V₂ = 4.5

Hence, volume of other gas at 27°C and at pressure of 600mm of Hg = 4.5L