2250. The gas constant (R) is equal to the of…. Two specific heats.
From first law of thermodynanties
Dq = du+dw
Mcpdt = mcdt+pdv ....................(1)
From ideal gas equation
PV = MRT
Pdv = mrdt
Dv = mrdt/P (2)
Now, substitute equation (2) in equation (1)
Mcpdt = mcvdt+mpr/P..................(2)
Cp=Cv+R
Cp – Cv = R