Answer :
(a) The final pressure will be 38.73 psi
(b) The initial pressure will be 26.44 psi
Explanation :
(a) Gay-Lussac's Law : It is defined as the pressure of the gas is directly proportional to the temperature of the gas at constant volume and number of moles.
or,
where,
= initial pressure of gas = 32 psi
= final pressure of gas = ?
= initial temperature of gas =
= final temperature of gas =
Now put all the given values in the above equation, we get:
Thus, the final pressure will be 38.73 psi
(b) Now we have to calculate the initial air pressure should be put in the tire.
where,
= initial pressure of gas = ?
= final pressure of gas = 32 psi
= initial temperature of gas =
= final temperature of gas =
Now put all the given values in the above equation, we get:
Thus, the initial pressure will be 26.44 psi