Water and acetone are mixed in a tank of volume V =1 m². Water (density of p, = 1 g/cm², specific heat at constant pressure Cpw = 4.18 kJ/(kg K)) enters the tank through a pipe of cross section A, = 10 cm2, at a speed u, = 1 m/s and temperature T = 20°C. Acetone (density of p, = 0.784 g/cm², specific heat at constant pressure Cpa=2.15 kJ/(kg K)) enters the mixing tank through a pipe of cross section A, = 5 cm², at a speed uz = 0.5 m/s and temperature T2 = 20°C. Heating coils maintain a temperature T = 40°C within the tank. Stirrers provide 50 kW of work. The water acetone mixture is extracted through a pipe of cross section Az = 7 cm². Note that internal energy per unit mass is calculated as e = C„T – p/p. (a) Calculate the exit velocity of the mixture us. (b) Calculate the mixture density at the exit Pm- (c) Calculate the head added per unit time Q. Note that the mixture specific heat is Cpm Pa As

Elements Of Electromagnetics
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4. Water and acetone are mixed in a tank of volume V = 1 m³. Water (density of pw = 1 g/cm?, specific heat
at constant pressure Cpw = 4.18 kJ/(kg K)) enters the tank through a pipe of cross section A1
at a speed u =1 m/s and temperature T = 20°C. Acetone (density of pa = 0.784 g/cm³, specific heat at
constant pressure Cpa = 2.15 k.J/(kg K)) enters the mixing tank through a pipe of cross section A, = 5 cm?,
at a speed u2 = 0.5 m/s and temperature T2 = 20°C. Heating coils maintain a temperature T
the tank. Stirrers provide 50 kW of work. The water acetone mixture is extracted through a pipe of cross
section Az = 7 cm?. Note that internal energy per unit mass is calculated as e = C,T – p/p.
10 cm?,
40°C within
(a) Calculate the exit velocity of the mixture uz.
(b) Calculate the mixture density at the exit pm.
(c) Calculate the head added per unit time Q. Note that the mixture specific heat is
Pwl1A1Cp,w + Pal2 A2C,,a
Cp,m =
Pm U3 A3
Transcribed Image Text:4. Water and acetone are mixed in a tank of volume V = 1 m³. Water (density of pw = 1 g/cm?, specific heat at constant pressure Cpw = 4.18 kJ/(kg K)) enters the tank through a pipe of cross section A1 at a speed u =1 m/s and temperature T = 20°C. Acetone (density of pa = 0.784 g/cm³, specific heat at constant pressure Cpa = 2.15 k.J/(kg K)) enters the mixing tank through a pipe of cross section A, = 5 cm?, at a speed u2 = 0.5 m/s and temperature T2 = 20°C. Heating coils maintain a temperature T the tank. Stirrers provide 50 kW of work. The water acetone mixture is extracted through a pipe of cross section Az = 7 cm?. Note that internal energy per unit mass is calculated as e = C,T – p/p. 10 cm?, 40°C within (a) Calculate the exit velocity of the mixture uz. (b) Calculate the mixture density at the exit pm. (c) Calculate the head added per unit time Q. Note that the mixture specific heat is Pwl1A1Cp,w + Pal2 A2C,,a Cp,m = Pm U3 A3
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