Question

The pressure in a car tire is 298 kilopascals at 300 Kelvin. After a long drive, the pressure becomes 325 kilopascals. Which law will you use to calculate the new temperature in the tire assuming that the volume is constant?

Answer 1

The answer to your question is



Gay-Lussac’s law

Answer 2

Answer: Gay Lussac's law

The final temperature of the gas will be 275 K.

Explanation:

Gay-Lussac's Law: This law states that pressure is directly proportional to the temperature of the gas at constant volume and number of moles.

$P\propto T$     (At constant volume and number of moles)

${P_1\times T_1}={P_2\times T_2}$

where,

$P_1$ = initial pressure of gas  = 298 kPa

$P_2$ = final pressure of gas = 325 kPa

$T_1$ = initial temperature of gas  = 300 K

$T_2$ = final temperature of gas = ?

${298\times 300}={325\times T_2}$

$T_2=275K$

Therefore, the final temperature of the gas will be 275 K.