Question

A gas with a volume of 2 L at 25°C is placed into a container that is 4 L. What is the new temperature of the gas?

Answer 1

Given :

A gas with a volume of 2 L at 25°C is placed into a container that is 4 L.

To Find :

The new temperature of the gas.

Solution :

Since, their is no information regarding pressure. We will assume that pressure is constant.

Now, we know when at constant pressure, volume is directly proportional to volume.

$\dfrac{V_1}{V_2}=\dfrac{T_1}{T_2}\\\\\dfrac{2}{4} = \dfrac{25 + 273 }{x}\\\\x = 2 \times ( 25 + 273 )\\\\x = 596\ K$

Therefore, the new temperature of the gas is 596 - 273 K = 323  K.