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?
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.