Any ideal gas temperature may be written as T = Ti*r where Ti=temp at ice point and r = lim(P/Pi) at constant V. Show that the fractional error in T is

dT/T = dr/r + 3.73 drs/rs

where r s = lim(Ps/Pi) at constant V. Ps is pressure at steam and Pi is pressure at ice point.

Also, Ti = 100/(rs - 100) and the fractional error in Ti is in fact
dTi/Ti = 3.73 drs/rs

rs should be thought of as r subscript s.

This is very tricky to solve. Please give me a hand.

2 answers

Sorry, Ti = 100/(rs-1), not rs - 100!!!!
I am trying to solve this as well