Question

The volume of a given mass of gas 'X' is 1.65 litre at -23°C. If the pressure
remains constant what volume will the gas occupy at a temperature of 127°C​

Answer 1

Given:-

→ Initial volume of the gas 'X' = 1.65 L

→ Initial temperature = -23°C

→ Final temperature = 127°C

To find:-

→ Final volume of the gas 'X'.

Solution:-

Firstly, let's convert the initial and final temperature from °C to K.

=> 1°C = 273 K

=> -23°C = 273 - 23

=> 250 K [Initial temp.]

=> 127°C = 273 + 127

=> 400 K [Final temp.]

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

V₁/T₁ = V₂/T₂ [Pressure is constant]

Where :-

• V₁ is the initial volume of the gas.

• T₁ is the initial temperature.

• V₂ is the final volume.

• T₂ is the final temperature.

Substituting values, we get :-

=> 1.65/250 = V₂/400

=> V₂ = 400×1.65/250

=> V₂ = 660/250

=> V₂ = 2.64 L

Thus, required volume of the gas 'X' is 2.64L .