At constant pressure, what temperature must be reached to increase a 100-milliliter sample of a gas initially at 300 K to a volume of 200 milliliters?

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Answer 1 · 2016-01-25T00:47:33

The new temperature is 600 K.

Given

The volume #V_1# of a gas at a temperature #T_1#.
A second volume #V_2#.

Find

The second temperature #T_2#.

Strategy

A problem involving two gas volumes and two temperatures must be a Charles' Law problem.

#V_1/T_1 = V_2/T_2#

In your problem,

#V_1 = "100 mL"#; #T_1 = "300 K"#
#V_2 = "200 mL"#; #T_2 = "?"#

#V_1/T_1 = V_2/T_2#

#T_2 = T_1 × V_2/V_1 = "300 K" × (200 cancel("mL"))/(100 cancel("mL")) = "600 K"#

The new temperature is 600 K.