This set of Basic Chemical Engineering Multiple Choice Questions & Answers (MCQs) focuses on “Density”.
1. Which of the following is not a unit of density?
Explanation: Dimensions of density are M1L-3, which is not the dimension of N/m3, so N/m3 is not the unit of density.
2. What is the density of a substance of mass 10 grams and volume 5 liters?
a) 2 kg/m3
b) 20 kg/m3
c) 200 kg/m3
d) 2000 kg/m3
Explanation: Density = (10*10-3)/(5*10-3) = 2 kg/m3.
3. A solid of density d is dropped in a liquid of density D, if d>D then,
a) Solid will completely sink
b) Solid will completely float
c) Solid will partially sink
d) None of the mentioned
Explanation: Since density of solid is greater than that of liquid, this means that weight of the solid will be higher than its buoyancy force so it will completely sink.
4. A liquid of mass 10 kg is enclosed in a cylinder of radius 1 m and length 5 m, what is the density of liquid?
a) 0.54 kg/m3
b) 0.44 kg/m3
c) 0.63 kg/m3
d) 0.83 kg/m3
Explanation: Volume of cylinder = π(12)5 = 5π m3, => Density = 10/5π = 0.63 kg/m3.
5. What is the density of a liquid of mass 20 kg, enclosed in a cuboid of surface areas of three sides as 1 m2, 2 m2, 5 m2, and one of its sides is 2 m?
a) 1 kg/m3
b) 2 kg/m3
c) 3 kg/m3
d) 4 kg/m3
Explanation: Sides of the cuboid are 1m, 2m and 5m, => volume = 10 m3, density = 20/10 = 2 kg/m3.
6. What is the density of a liquid of mass 10 kg and contained in a cylinder of radius 5 m and surface area (excluding top and bottom) of 10π m2?
a) 0.2π kg/m3
b) 0.4π kg/m3
c) 0.5π kg/m3
d) 0.6π kg/m3
Explanation: Height of cylinder = 10π/(2π*5) = 1 m, => volume of cylinder = π(52)1 = 25π, => density of liquid = 10/25π = 0.4π kg/m3.
7. What is the mass of a liquid having density 20 kg/m3, enclosed in a sphere of radius 1 m?
a) 80.7 kg
b) 83.7 kg
c) 85.7 kg
d) 88.7 kg
Explanation: Volume of liquid = (4/3)π13 = 4.18 m3, => mass of liquid = 20*4.18 = 83.7 kg.
8. What is the mass of a cube having surface area 24 m2, and density 1 kg/m3?
a) 1 kg
b) 2 kg
c) 4 kg
d) 8 kg
Explanation: Side of the cube = (24/6)0.5 = 2 m, => mass of cube = 1*23 = 8 kg.
9. An empty vessel has with mass 5 kg with volume 0.1 m3, is now completely filled with a liquid of density 100 kg/m3, what is the final density of the cylinder?
a) 50 kg/m3
b) 100 kg/m3
c) 150 kg/m3
d) 200 kg/m3
Explanation: Mass of liquid = 100*0.1 = 10 kg, => total mass of cylinder = 10 + 5 = 15 kg, => final density of liquid = 15/0.1 = 150 kg/m3.
10. A cylinder completely filled with water has density = 10 kg/m3 and volume 5 m3 , now a cube with side 1 m and density 25 kg/m3 is dipped into the cylinder with some water dropping out, what is the final density of cylinder?(neglect the mass of cylinder)
a) 13 kg/m3
b) 15 kg/m3
c) 17 kg/m3
d) 19 kg/m3
Explanation: Initial mass of cylinder = 10*5 = 50 kg, mass of cube = 25*1 = 25 kg, => mass of water coming out = 10*1 = 10 kg, => final density of cylinder = (50 + 25 – 10)/5 = 13 kg/m3.
Sanfoundry Global Education & Learning Series – Basic Chemical Engineering.
To practice all areas of Basic Chemical Engineering, here is complete set of 1000+ Multiple Choice Questions and Answers.