Question

A typical refrigerator is kept at 4˚C, and a soda can has a pressure of

1.18 atm. The inside of a car can reach up to 60˚C (140˚F) when it is left in

direct sunlight on a hot day. If you left the soda can in the car, what would

be the new pressure if it reached 60˚C?

Answer 1

Answer: The new pressure will be 1.42 atm

Step-by-step explanation:

To calculate the final pressure of the system, we use the equation given by Gay-Lussac Law. This law states that pressure of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,

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

where,

`P_1\text{ and }T_1` are the initial pressure and temperature of the gas.

`P_2\text{ and }T_2` are the final pressure and temperature of the gas.

We are given:

`P_1=1.18atm\\T_1=4^0C=(4+273)K=277K\\P_2=?\\T_2=60^0C=(60+273)K=333K`

Putting values in above equation, we get:

`(1.18)/(277)=(P_2)/(333)\\\\P_2=1.42`

Hence, the new pressure will be 1.42 atm