1. The velocity of water in a pipe of area 5 m2 is 10 m/s, what will be the flow rate of water?
a) 25 m3/s
b) 50 m3/s
c) 75 m3/s
d) 100 m3/s
Explanation: Flow rate = area*velocity = 5*10 = 50 m3/s.
2. A liquid of density 0.1 kg/m3 is flowing through a pipe at a rate of 15 kg/s, what will be the area of the pipe if the fluid velocity is 5 m/s?
a) 30 m2
b) 45 m2
c) 75 m2
d) 90 m2
Explanation: Volumetric flow rate of the liquid = 15/0.1 = 150 m3/s, => Area of pipe = 150/5 = 30 m2.
3. 1 mole of Carbon dioxide enters in a reactor at a rate of 0.25 kg/s and leaves it at the rate of 1 kg/s, what are the number of moles of carbon dioxide leaves the reactor?
a) 0.25
b) 0.5
c) 0.75
d) 1
Explanation: Applying reaction equilibrium equation, 1*0.25 = n*1, => n = 0.25.
4. A Composition of carbon dioxide, oxygen and nitrogen with mole ratio 1:2:5 with 4 moles of oxygen, enters a reactor with a flow rate of 100 kg/s, the ratio of rates of leaving the reactor of the three is 5:2:1, and 5 moles of nitrogen leaves the reactor, what is the total number of moles leaving the reactor?
a) 6.1
b) 6.2
c) 6.3
d) 6.4
Explanation: number of moles of carbon dioxide, oxygen and nitrogen are 2, 4 and 10 respectively, let the leaving flow rates of carbon dioxide, oxygen and nitrogen are 5y, 2y and y respectively, => for nitrogen, 10*100 = y*5 => y = 200 kg/s, => for oxygen, 4*100 = 400*n => n = 1, for carbon dioxide, 2*100 = 1000*n => n = 0.2, => total number of moles leaving the reactor = 5 + 1 + 0.2 = 6.2.
5. 10 moles of oxygen divides and enters two reactors flow rate 45 kg/s and leaves the reactors at the flow rates of 6 kg/s and 9 kg/s, what are number of moles of oxygen that leaves the reactor with 9 kg/s?
a) 180
b) 450
c) 60
d) 90
Explanation: Let number of moles entering and leaving the second reactor be n1 and n2 respectively, applying reaction equilibrium equation to whole system, => 10*45 = n*(6 + 9), => n = 30, => Applying reaction equilibrium equation to both the reactors separately, => n1*45 = n2*9 => n2 = 5n1, and (10 – n1)*45 = (30 – n2)*6, Solving both equations we get n2 = 90.
6. 10 Kg/s of a fluid with density 10 Kg/m3 is passed into a tank of capacity 50 m3, how much time will it take to fill the tank?
a) 5 Second
b) 50 Second
c) 500 Second
d) 5000 Second
Explanation: Flow rate of fluid = 10/10 = 1 m3/s, => Time = 50/1 = 50 second.
7. 15 Kg/s of a fluid with density 5 Kg/m3 is passed into a tank of capacity 30 m3, how much time will it take to fill the tank?
a) 3 Second
b) 10 Second
c) 30 Second
d) 100 Second
Explanation: Flow rate of fluid = 15/5 = 3 m3/s, => Time = 30/3 = 10 second.
8. 20 Kg/s of a fluid with density 5 Kg/m3 is passed into a tank of capacity 60 m3, how much time will it take to fill the tank?
a) 5 Second
b) 10 Second
c) 15 Second
d) 20 Second
Explanation: Flow rate of fluid = 20/5 = 4 m3/s, => Time = 60/4 = 15 second.
9. 16 grams of oxygen is passed in the process in 5 minutes, what is the molar flow rate?
a) 0.1 mole/min
b) 1 mole/min
c) 10 mole/min
d) 16 mole/min
Explanation: Flow rate of fluid = (16/32)/5 = 0.1 mole/min.
10. 24 grams of CH4 is passed in the process in 3 minutes, what is the molar flow rate?
a) 0.1 mole/min
b) 0.3 mole/min
c) 0.5 mole/min
d) 0.7 mole/min
Explanation: Flow rate of fluid = (24/16)/3 = 0.5 mole/min.