water flows into a pipe with an inlet diameter di =5.5 cm. If the water inflow r
ID: 474233 • Letter: W
Question
water flows into a pipe with an inlet diameter di =5.5 cm. If the water inflow rate is V=0.55 liters/s and if the pipe has a leak with a rate m=55 g/s, calculate the water velocity (in cm/s) at the pipe outlet of diameter Do= 3.3. Water density 1. co ?Watertown into appe with an inlet dameter Di r the water intow rate is Vi 055 utersand the pipe has aleak with a outlet oldiameter Do 33 cm water densiy is p 1000 (Points 3 O 1861 O 30.00 O 5846 O 87 69 2. (co Use the mass conservation principle to calculate the rate (in gmm) of water input m needed into an ideal electrolyzer that generates co reaction: 2H20 2Hz+ O2 The molar masses of oxygen and hydrogen are approximately 16g and 1g, respectively (points 3) O 160 O 90 O 60 3. (co 2) How much time T in minutes, will it take the steady state reaction: Kao+H20 2KOH to produce 4 Kg of potassium hydroxide (KoH if gmn The molar mass of potassium, K, is 39 g mol (Points: 3) O 139 3 O 224Explanation / Answer
From conservation of mass, at steady state conditions
Rate of mass in- rate of mass out =0
Mass flow rate = volumetric flow rate* density
Mass flow rate in = 0.55* L/s*1000g/L =550 g/s
Water leakage rate = 55 g/s
Mass flow rate out = mass flow rate in- water leakage rate= 550-55= 495 g/s
Mass flow rate = Density* velocity* cross sectional area = 495 g/s=0.495 Kg/s
Cross sectional area at the exit = (PI/4)*d2 = (22/28)*(3.3/100)2= 0.000856 m2
Density of water =1000 kg/m3.
0.495 kg/s= 0.000856 m2* 1000 kg/m3*Velocity
Velocity at the exit= 0.5785 m/s or 57.85cm/s
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