Question

What is final volume if 3.4L of nitrogen gas at 400k is cooled to 300k and kept the same pressure

Answer 1

So,

The Charles law states that, at a constant pressure, the initial and final volume and temperature of a gas is described with the following equation:

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

In this question, we're asked to find the value of V2.

Replacing our values:

$\begin{gathered} \frac{3.4L}{400K}=\frac{V_2}{300K} \\ \\ V_2=\frac{(3.4L)(300K)}{400K} \\ \\ V_2=2.55L \end{gathered}$

Therefore, the final volume is 2.55L.