Question

ratio of line slope of constant pressure line and constant volume line on T-S diagram

Answer 1

In part (a), we showed that, for the same DT, DS at constant P is greater than DS atconstant V. On a TS Diagram, a constantspecific volume line passing through State 1 has a greater slope than a constant pressure line passing through the same state. For Process 1-A, temperature is constant.

Answer 2

Answer: Cv/Cp

Explanation:

T.ds = du + p.dv = dh = m.cp.dt. ( for constant pressure).

T.ds = du = m.cv.dt ( for constant volume).

From above relations,

Slope for constant pressure (dt/ds) = T/Cp.

Slope for constant volume (dt/ds) = T/Cv.

Now, Ratio of slopes of constant pressure and constant volume = (T/Cp)/(T/Cv) = Cv/Cp.