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// (3.9) Two tanks are connected by a valve. One tank contains 2 kg of carbon monoxide gas at 77C and 0.7 bar. The other tank holds 8 kg of the same gas at 27C and 1.2 bar. The valve is opened and the gases are allowed to mix while receiving energy byheat transfer from the surroundings. The final equilibrium temperature is 42C. Using the ideal gas model, determine (a) the final equilibrium pressure, in bar (b) the heat transfer for the process, in kJ.
//solution
//variable initialization
m1 = 2 //initial mass of gas in tank 1 in kg
T1 = 350 //initial temperature in kelvin in tank1
p1 = .7 //initial pressure in bar in tank 1
m2 = 8 //initial mass of gas in tank 2 in kg
T2 = 300 //initial temperature in kelvin in tank 2
p2 = 1.2 //initial pressure in bar in tank 2
Tf = 315 //final equilibrium temperature in kelvin
pf = ((m1+m2)*Tf)/((m1*T1/p1)+(m2*T2/p2))
printf('the final equilibrium pressure in bar is: \n\t pf = %f',pf)
//from table A-20
Cv = .745 //in KJ/Kg.k
Ui = (m1*Cv*T1)+(m2*Cv*T2)
Uf = (m1+m2)*Cv*Tf
deltaU = Uf-Ui
Q = deltaU
printf('\n\nthe heat transfer for the process in KJ is :\n\t Q = %f',Q)
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