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

1.18 atm. The inside of a car can reach up to 60ËšC (140ËšF) 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 60ËšC?

Respuesta :

Answer: The new pressure will be 1.42 atm

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,

[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}[/tex]

where,

[tex]P_1\text{ and }T_1[/tex] are the initial pressure and temperature of the gas.

[tex]P_2\text{ and }T_2[/tex] are the final pressure and temperature of the gas.

We are given:

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

Putting values in above equation, we get:

[tex]\frac{1.18}{277}=\frac{P_2}{333}\\\\P_2=1.42[/tex]

Hence, the new pressure will be 1.42 atm