Question

The gases in a hairspray can are at a temperature of 27 C and a pressure of 30 psi. if the gases can reach a pressure of 90 psi, the can will explode.To what Temperature must the gases be raised in order for the can to explode? You can assume volume remains constant..... please help!!!

Answer 1

The temperature for the can explode : 627 °C

Further explanation

Gay Lussac's Law

When the volume is not changed, the gas pressure is proportional to its absolute temperature

`\tt (P_1)/(T_1)=(P_2)/(T_2)`

T₁=27 C+273=300 K

P₁=30 psi

P₂=90 psi

`\tt T_2=(P_2* T_1)/(P_1)\\\\T_2=(90* 300)/(30)\\\\T_2=900~K=627^oC`