Answer to Question #191532 in General Chemistry for Paige L Hoffman

Question

The gases in a hair spray can are at a temperature

of 27 °C and a pressure of 207 kPa. If the gases inside

the can reach 400 kPa, the can will explode. At what

temperature would the can explode?

Answer 1

Answer

Using Gay-Lussac's law

$\frac{P_1}{T_1}=\frac{P_2}{T_2}$

$T_2=T_1\frac{P_2}{P_1}$

$T_1=27+273=300K \\ P_1=207kPa \\ P_2=400 kPa$

Putting the values

We got

$T_2= {300×400\over 207}$

$T_2=579.7 K$

$\implies \\ T_2 = 306.7 \ ^o C$ answer