Question

A gas occupies a volume of 400 cm³. On heating to 127°C its volume becomes 1600 cm³.Find the initial temperature of a gas on Celsius scale. Assume pressure remains constant.

Answer 1

Step 1- Write down the given terms:

V₁ = 400 cm³

V₂ =1600 cm³

T₂ = 127°C = 127 + 273 = 400 K

T₁= ?

Step 2- Write the formula:

Using Charle’s law,

$\frac{V_1}{T_1}$= $\frac{V_2}{T_2}$

Step 3- Put the given values

T₁ = $\frac{400x400}{1600}$

= 100 K

Temperature in °C = 100 – 273 = -173 °C

Hence, the initial temperature is -173 °C.