# The gases in a hair spray can are at a temperature of 27 C and a pressure of 30 kPa. If the gases in the can reach a pressure 90 kPa, the can will explode. To what temperature must the gases be raised in order for the can to explode?

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Assume constant volume.

Assume constant volume.

##### 1 Answer

May 7, 2017

The gases must reach a temperature of 627 °C.

#### Explanation:

Since the volume is constant but the pressure and temperature are changing, this is an example of **Gay-Lussac's Law**:

#color(blue)(bar(ul(|color(white)(a/a) p_1/T_1=p_2/T_2color(white)(a/a)|)))" "#

We can rearrange the above formula to get

#T_2 = T_1 × p_2/p_1#

Your data are:

The new temperature is 627 °C.