An aerosol can with a temperature of 292 k and a pressure of 1.25 atm was left outside in the sun on a hot summer day. the pressure inside the can rose to 1.33 atm. what was the resulting temperature in the can?
322k
1,600k
311k
274k
ik its not a

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.

          =  

Now, we have to make T₂ the subject of the formula:

      T₂ =  

       T₂ =   =  310.69K