Question

The volume of an ideally behaving gas is 300 L at 227°C. What volume will the gas occupy at 27°C when pressure remains constant?

Answer 1

Answer:

$V_2=35.68\ L$

Explanation:

Initial volume, V₁ = 300 L

Temperature, T₁ = 227°C

New temperature, T₂ =  27°C

We need to find the volume of gas occupied when the temperature is 27°C.

It is based on Charle's law. A/c to Charle's law,

$V\propto T$ (at constant pressure)

$\dfrac{V_1}{V_2}=\dfrac{T_1}{T_2}\\\\V_2=\dfrac{V_1T_2}{T_1}\\\\V_2=\dfrac{300\times 27}{227}\\\\V_2=35.68\ L$

Hence, the new volume is 35.68 L.