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ID: 2995318 • Letter: #
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A) is not true becuase there is always a continue flow of gas
B) is true from the Conservation of mass (dm/dt = 0)
C) b = B/m (here B = m)
b = 1
At inlet
mi = rho*A1*V1 = 3*0.1*10 = 3
At Exit
me = rho*A2*V2 = 2*0.2*5 = 2
Sigma(rho*A*V) is not zero
D)
b is not true
b = B/m (here B = m)
b = 1
E) is not true
From Conservation energy
d/dt(integral(rho*dV) + me - mi = 0
d/dt(integral(rho*dV) = 1
b)
Let suffix 1 is for inlet and 2 and 3 are for exits
m1 = rho*A1*V1 = 998*pi/4*0.2^2*0.1
m1 = 3.134 kg/s
m2 = rho*A2*V2 = 998*pi/4*0.15^2*0.08
m2 = 1.41 kg/s
m3 = rho*A1*V1 = 998*pi/4*0.1^2*0.1
m3 = 0.783
From Conservation of Energy
d/dt(integral(rho*dV) + m2 + m3 - m1 = 0
d/dt(integral(rho*dV) = 0.941
rho*A*dh/dt = 0.941
998*pi/4*2^2*dh/dt = 0.941
dh/dt = 3*10^-4 m/s
The water level in the tank rises
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