Question #e05ec

2 Answers
Oct 25, 2016

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#

Oct 25, 2016

# 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.