An automobile tire is filled to 32 psi at an air temperature of 40° f. a. after the car is driven for some time, the temperature of the air is 145° f. what is the pressure, if you assume the volume of the tire is constant? b. if a person wants to maintain a pressure of 32 psi, what should the initial air pressure should be put in the tire?

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

answer:   you might love summer weather, but you don’t want it to feel like the sun is inside your car. but a hot car that just won’t seem to cool down might be a bigger of a problem than you think. your car relies on being at the right temperature.

explanation:

no. dot product   =0 when vecs at right angles