Question

Prove that the volume of the gas at 273oC is twice its volume at 273K,
pressure remaining constant.

Answer 1

Answer:

The volume of the gas at 273°C is twice the volume of the gas at 273K.

Explanation:

We know the Charles Law where it states that "At Constant Pressure, the volume of the gas is directly proportional to the kelvin temperature".

First let us convert the Celsius degree into Kelvin.

273°C=273+273.15K=546.15K

Then from Charles Law,  V∝T

⇒$\frac{V}{T}$=constant

⇒$\frac{V1}{T1}$=$\frac{V2}{T2}$

⇒$\frac{V1}{V2}$=$\frac{T1}{T2}$

Here V₁ is the volume of the gas at 273°C and V₂ is the volume of the gas at 273K

∴$\frac{V1}{V2}$=$\frac{546.15}{273}$

⇒$\frac{V1}{V2}$=2

⇒V₁=2V₂

Hence Proved.