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ID: 2995318 • Letter: #

Question

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Explanation / Answer

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