Question

Question #e05ec

Answer 1

The new volume is 27.4 liters

Explanation:

According to Charles Law's volume and temperature is a direct relationship. As the temperature decreases the volume also decreases.

The key is to solve the equation in terms of degrees K or absolute temperature.

The equation is

`V_1/T_1 = V_2/T_2`

`V_1 = 72.3 l`
`T_1 = 307 k^o` (`36C^o + 273 C^o` ) `0^oC = 273^oK`
`T_2 = 117 k^o` ( `-156^oC - 273C^o)`

`72.3/307 = V_2/117` solving this gives

`V_2 = 27.4 l`

Answer 2

`27.4l`, rounded to one decimal place.

Explanation:

As nothing has been mentioned about the pressure in the problem, it is treated to be constant.

According to Charles Law (Law of Volumes): When the pressure of a sample of gas is held constant, the Kelvin temperature and its volume are directly related.

Mathematically stated
`V_1/T_1 = V_2/T_2`, at constant pressure. ........(1)

Given values are
`V_1 = 72.3 l`
`T_1 = 36+273=309 K`
`T_2 = -156 + 273=117K`
Inserting in the equation (1) we get

`72.3/309 = V_2/117`
`=> V_2 = 72.3/309xx117`
`=> V_2 = 27.4l`, rounded to one decimal place.