Answer:
310.69K
Explanation:
Given parameters:
Initial temperature T₁ = 292K
Initial pressure P₁ = 1.25atm
Final pressure P₂ = 1.33atm
Unknown:
Final temperature T₂ = ?
Solution
To find the unkown, we need to apply the combined gas law. From the combined gas law, it can be deduced that at constant volume, the pressure of a give mass or mole of gas varies directly with the absolute temperature.
Since the same aerosol can is heated, the volume is constant.
[tex]\frac{P_{1} }{T_{1} }[/tex] = [tex]\frac{P_{2} }{T_{2} }[/tex]
Now, we have to make T₂ the subject of the formula:
T₂ = [tex]\frac{P_{2} x T_{1} }{P_{1} }[/tex]
T₂ = [tex]\frac{1.33 x 292 }{1.25 }[/tex] = 310.69K
