The pressure in a car tire depends on the temperature of the air in the tire. With an air temperature

of $25$^oC the gage pressure in the tire is measured to be $210$kPa. Assume that the atmospheric

pressure is $100$ kPa. Assume ideal gas. The tire volume is assumed constant.

a$)$ Determine the pressure increase in the tire if the air temperature is increased to $50$OC when the

volume of the tire is $0\mathrm{.}025$m$\mathrm{³}$

$.$

b$)$ Find the amount of air that must be released to restore the pressure from before the heating.