Problems On Fluid Properties

Problems on Fluid Properties: 1.Glycerin has a total mass of 1120 kg and a volume of 0.952 m3. Compute the specific gravity of glycerin. (Ans:1.18) 2. Standard atmospheric pressure is measured by a barometer column of 760 mm of mercury. Compute the equivalent height of water column if specific gravity of mercury is 13.6. (Ans:10.34 m of water) 3. A certain liquid has a specific weight of 8000 N/m3. Compute its specific volume. (Ans:0.0012 m3/kg) 4. If an object has a mass of 2.0 slugs at sea level, what would its mass be at a location where acceleration due to gravity is 30 ft/s2. (Ans:2.0 slugs) 5. Determine the weight of a 5 kg mass at a place where acceleration due to gravity is 8.75 m/s2.(Ans: 43.75N) 6. A liquid which is compressed in a cylinder has volume of 1000 cm3 at 1 Mpa and a volume of 995 cm3 at 2 Mpa. What is its bulk modulus. (ans: E=200MPa) 7. If the bulk modulus of water is 2.2 GPa, what pressure is required to reduce its volume by 0.5 percent. (ans: 11 Mpa) 8.Water in a hydraulic press is under a pressure of 92.580 MPa absolute at 15 oC. If the initial pressure is 150 KPa absolute, what will be the decrease in specific volume if its bulk modulus is 2.13 GPa. (ans: 4.34% decrease in volume) 9. A certain gas at 30oC is subjected to a pressure of 200 KPa abs. If it has a volume of 35 liters, compute the mass of this gas. Use gas constant, R = 210 N-m/kg-oK.(ans: 0.11 kg) 10. What is the specific weight of air at a temperature of 30oC and absolute pressure of 560 KPa.(ans: 63.17 N/m3) 11. An oil sample weighs 38,612.16 N and has a volume of 4.8 cu.m. Calculate the specific gravity of the said sample.(ans: S.G. = 0.82) 12. An 8 m3 of air at 28oC and absolute pressure of 176 KPa is compressed to 4 m3. What is the resulting pressure assuming isothermal condition.(ans: P2=352 KPa abs) 13. A 2 m3 of hydrogen at 30 oC and 180 KPa absolute are permitted to expand isothermally to 5 m3. Assuming isentropic condition and a specific heat ratio, k=1.41. What would be the final temperature. (ans: T2 = -65oC) 14. Estimate the capillary rise in a cylinder tube with radius of 1 mm for mercury-air-glass interface, Use σ = 0.514 N/m, θ= 130oC.(ans:h = -0.005m = -5mm) 15. Find the required diameter of a droplet of water in order to have a pressure of 1 KPa within it, relative to pressure outside it. Use surface tension, σ = 0.728 N/m.(ans: D = 0.0029 m = 3mm) 16. A glass tube, 6 mm in diameter contains water at 10 oC. If water stand at a height of 20 mm, what is the true static height? Use σ = 0.0742 N/m. (ans: True Static ht = 15 mm) 17. A certain liquid has a viscosity of 0.005 Pa-sec and a kinematic viscosity of 3.5 mm2/s. What is the density of the liquid. (ans: ρ = 1428.57 kg/m3). 18. The kinematic viscosity and relative density of a certain liquid are 5.6 X 10 –5 m2/s and 1.5 respectively. Calculate the viscosity of this fluid. (ans: μ = 0.084 Pa-sec) 19. If the viscosity of a liquid is 0.04 Pa-sec, what is the viscosity in poises.(ans: μ=0.4 poise) 20. If the kinematic viscosity of oil is 800 centistokes and its specific gravity is 1.13, what is its viscosity. (ans: μ= 0.904 Pa-sec) 21. A wooden cubical block (sp.gr,= 0.40) with an edge length of 200 mm slides down a plane which is inclined at 20o from the horizontal. A 4 mm thick film of oil with a viscosity of 0.0897 Pa-sec is between the block and the plane. Compute the terminal velocity of the block. (ans: Vt = 11.97 m/s) 22. A plunger is moving through a horizontal cylinder containing oil at a speed of 8 m/s. the diameter of the cylinder is 60 mm while the diameter of the plunger is 54 mm. The film of oil separating the 0.5 m long plunger from the cylinder has a viscosity of 7.1X10-6 m2/s. What force is required to maintain its velocity? Specific gravity of liquid is 0.84. (ans: F = 1.35N)