A container with a volume of #6 L# contains a gas with a temperature of #150^o K#. If the temperature of the gas changes to #570 ^o K# without any change in pressure, what must the container's new volume be?

1 Answer
Sep 7, 2016

Answer:

Use Charles' Law: volume is directly proportional to absolute temperature at a fixed mass and constant pressure.

Explanation:

Charles' Law as stated above can be expressed as V =KT.
Volume is directly proportional to absolute temperature at a fixed mass (number of moles) and constant pressure. In this formula, K is just a proportionality constant. Absolute temperature means all temperatures must be expressed in Kelvin.

Another way to write this law is:

#V_1/T_1 = V_2/T_2#

Let #V_1 = 6L# and #T_1 =150K#
#V_2 = ?# and #T_2 = 570K#

#6/150 = V_2/570#

Cross multiply.
#6*570=150*V_2#
#V_2 = (6*570)/150 = 22.8L#