Question

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?

Answer 1

The new temperature is 600 K.

Explanation:

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.