Be sure that you can derive the algebraic formula for internal pressure, πt = t (∂p/∂t)v – p, from the fundamental equation, du = t ds – p dv. using the relationship for internal pressure, show that for a gas that obeys a truncated virial equation of state: z = pvm/rt = 1 + b(t)/vm, the internal pressure may be approximated as πt≈ rt2(vm)-2∙(∆b/∆t). estimate the internal pressure at 1.0 bar and also at 10.0 bar for a hypotheti

Athin walled concentric tube exchanger is used to cool engine oil from 160°c to 60°c with water that is available at 25°c acting as a coolant. the oil and water flow rates are each at 2 kg/s, and the diameter of the inner tube is 0.5 m and the corresponding value of the overall heat transfer coefficient is 250 w/m2. oc. how long must the heat exchanger be to accomplish the desired cooling? cpwater=4.187 kj/kg-candcpengine el=2.035 kj/kg·°c, oil . 120]