Question

A tire has a pressure of 780 mmHg at 27°C. If the tire is heated to 47°C on hot pavement, the new pressure will be: 310 mmHg 280 mmHg 830 mmHg 590 mmHg none of these

Answer 1

Answer: The new pressure is 830 mmHg

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.

The equation used to calculate new pressure is:

`(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=780mmHg\\T_1=27^oC=[27+273]K=300K\\P_2=?mmHg\\T_2=47^oC=[47+273]K=320K`

Putting values in above equation, we get:

`(780mmHg)/(300K)=(P_2)/(320K)\\\\P_2=(780* 320)/(300)=830mmHg`

Hence, the new pressure is 830 mmHg