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Fills with the blank. (Each blank worth 2 score, together 24 score) 1. Write the definition equation of enthalpy H = . _(1) 2
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(1). H = E + PV enthalpy is the sum of internal energy plus the product of pressure and volume of the system.

(2). In a steady-state throttling process the enthalpy change (dH) = constant and the work done (W) = 0.

(3). Where are the functions?

(4). From formula Pab = Pg + Patm , where Pab= absolute pressure, Pg= gauge pressure, Patm= atmospheric pressure

Pab = 1.2 + 0.1

Pab = 1.3 MPa is the absolute pressure of the oxygen.

(5). Reversible process

(6).  In free expansion process, there is no work exchanged to the surroundings, no heat exchange. Therefore as both are functions of temperature, In free expansion process temperature (T1 = T2 = constant), internal energy (\DeltaU = 0) So (U) = constant, heat energy (Q) and Work done (W) are zero (Q = W = 0)
(7). ds = \frac{1}{T}du + \frac{P}{T}dv

du = Tds - Pdv

The internal energy U is the function of temperature and volume u = f(T, v)

Using Maxwell's third equation \left ( \frac{\partial s}{\partial v} \right )_{T}=\left ( \frac{\partial P}{\partial T} \right )_{v}

and \left ( \frac{\partial u}{\partial v} \right )_{T}=T\left ( \frac{\partial P}{\partial T} \right )_{v}-P

So, \frac{\partial s}{\partial u}=\frac{1}{T} \left [ \frac{1+Pdv}{du} \right ]

(8). The change in internal energy (\DeltaU) = Q - W, \Delta U = (Qin - Qout) - (Wout - Win)

Given, Qout = 25KJ, Win = 100KJ and Qin = Wout = 0

Therefore, \Delta U = -25+100 = 75KJ

(9). Technical workdone in a constant pressure process (W) = P.dV

(10). In a constant pressure process, change in enthalpy (\DeltaH) is equal to the Heat flow (q)

Therefore, \Delta H = q = 30KJ

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