# A sample of nitrogen gas occupies 130 mL at 20°C. What volume will the gas occupy at 45°C if the pressure remains constant?

Apr 27, 2016

${V}_{2} = 141.09 m L$

#### Explanation:

This problem requires the use of Charles' Law comparing the direct relationship between Volume and Temperature.

${V}_{1} / {T}_{1} = {V}_{2} / {T}_{2}$

${V}_{1} = 130 m L$
${T}_{1} = {20}^{o} C = 293 K$
V_2=?
${T}_{2} = {45}^{o} C = 318 K$

Always convert $^ o C$ to $K$

$K {=}^{o} C + 273$

I prefer to isolate the variable before I plug in the values

$\frac{{V}_{1} {T}_{2}}{T} _ 1 = {V}_{2}$

$\frac{130 m L \left(318 \cancel{K}\right)}{293 \cancel{K}} = {V}_{2}$

${V}_{2} = 141.09 m L$