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?

1 Answer
Jan 25, 2016

The new temperature is 600 K.

Explanation:

Given

The volume V_1V1 of a gas at a temperature T_1T1.
A second volume V_2V2.

Find

The second temperature T_2T2.

Strategy

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

V_1/T_1 = V_2/T_2V1T1=V2T2

In your problem,

V_1 = "100 mL"V1=100 mL; T_1 = "300 K"T1=300 K
V_2 = "200 mL"V2=200 mL; T_2 = "?"T2=?

V_1/T_1 = V_2/T_2V1T1=V2T2

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

The new temperature is 600 K.