Question

500ml of nitrogen at 27°C are cooled to 15°C at same pressure calculate the new volume

Answer 1

Answer:- New volume of the gas is 480 mL.

Solution:- In this problem the pressure is constant and the volume is changing as the temperature changes. According to Charles law,"At constant pressure, the volume of the gas is directly proportional to the kelvin temperature."

The equation used for Charles law is:

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

$V_1$ = 500 mL

$T_1$ = 27 + 273 = 300 K

$T_2$ = 15 + 273 = 288 K

$V_2$ = ?

Let's plug in the values in the above equation and solve it for new volume:

$\frac{500mL}{300K}=\frac{V_2}{288K}$

$V_2=\frac{500mL*288K}{300K}$

$V_2=480mL$

So, the new volume of the gas at 15 degree C would be 480 mL.