I assumed cp = constant and that the breathable air is an ideal gas.
My steps for for p=1.1 to p=1 k=1.4 were 98.7+460(1.1atm/1atm)^(1.4-1)/1.4
For p=0.9 to p=1 k=1.4 . 98.7+460(.9atm/1atm)^(1.4-1)/1.4
My teacher likes to make really weird problems. How can I start this problem? The only thing I thought of doing is using the polytropic ideal gas equation when cp= constant. (p2/p1)^k-1/k = T2/T1 and making p1 and t1 in each case the normal state of the lungs