# A balloon with a volume of 5.3 L is taken from an indoor temperature of 24 C to the outdoors. The volume of the balloon outside is 4.9 L. How do you determine the C temperature outside?

##### 1 Answer

Aug 31, 2016

#### Answer:

The outside temperature is 0 °C.

#### Explanation:

**Given**

The volume

A second volume

**Find**

The second temperature

**Strategy**

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

The formula for **Charles' Law** is

#color(blue)(|bar(ul(color(white)(a/a) V_1/T_1 = V_2/T_2color(white)(a/a)|)))" "#

**Solution**

We can rearrange Charles' Law to get

#T_2 = T_1 × V_2/V_1#

In your problem,

∴

The outside temperature is 0 °C.