Calculate the enthalpy of 3 kg of fluid that occupies a volume of

Calculate the enthalpy of 3 kg of fluid that occupies a volume of
| Calculate the enthalpy of 3 kg of fluid that occupies a volume of 1.5 m3/kg, if the internal energy is 3.5 MJ/kg and the pressure is 0.3 MN/m2

A. 3.95 MJ

B. 3.65 MJ

C. 10.95 MJ

D. None of these

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

\(Enthaply(H)\; = \;U + PV\; = \;m\left( {u + Pv} \right)\; = \;3\left( {3.5 + 0.3 \times 1.5} \right)\; = \;11.85\;MJ\)

Mistake Point

when P is in Pa and V is in m3 then the unit of work done is (W = PV) J.

when P is in Pa and V is in m3/kg then the unit of work done is (W = PV) J/kg.

Here internal energy is specific internal energy (MJ/kg) but PV work is also in MJ/kg.

That's why with (u + Pv), we get specific enthalpy which is multiplied with mass to get enthalpy.

h = u + Pv

H = U + PV = m(u + Pv)