tire.\ b. Calculate the work that you would have to perform to inflate the tire to the required pressure of 8 bar. Assume that the process is performed at a constant temperature equal to

300K

. The atmospheric pressure is I bar and the air can be considered to be an ideal gas.\ c. The constant temperature assumption that we have made in part

b

is not very realistic. Typically, the aur inside the tire and the pump gets hot as you inflate the tire. As a different approximation, let us assume that there is no heat exchange between the air that is being compressed and the surroundings. Calculate the amount of work one needs to do to perform reversible adiabatic compression of the same amount of air as in Part a from

P=1

bar to

P=8

bar. The initial temperature of air is

300K

. Assume

/bar (c)_(1)=5(R)/(2)

for air

b. Calculate the work that you would have to perform to inflate the tire to the required pressure of 8 bar. Assume that the process is performed at a constant temperature equal to 300K. The atmospheric pressure is I bar and the air can be considered to be an ideal gas. c. The constant temperature assumption that we have made in part b is not very realistic. Typically, the air inside the tire and the pump gets hot as you inflate the tire. As a different approximation, let us assume that there is no heat exchange between the air that is being compressed and the surroundings. Calculate the amount of work one needs to do to perform reversible adiabatic compression of the same amount of air as in Part a from P=1 bar to P=8 bar. The initial temperature of air is 300K. Assume c1=5R/2 for air