Two cubic meters of a gas at 30 degrees Kelvin are heated at a constant pressure until the volume doubles. What is the final temperature of the gas?

1 Answer
Jan 25, 2016

The final temperature is 60 K.

Explanation:

This is an example of Charles' law, which states that the volume of a given amount of gas held at constant pressure varies directly with the temperature in Kelvins. The equation to use is #V_1/T_1=V_2/T_2#.

Given
#V_1="2 m"^3#
#T_1="30 K"#
#V_2="4 m"^3#

Unknown
#T_2#

Solution
Rearrange the equation to isolate #T_2#, substitute the given values into the equation, and solve.

#V_1/T_1=V_2/T_2#

#T_2=(T_1V_2)/V_1#

#T_2=(30"K"xx4cancel"m"^3)/(2cancel"m"^3)="60 K"#