A sugger crystal of mass 40 g is coated with wax of mass 5.76 g. The specific gravity of wax is 0.96. If the wax-coated sugar crystal weighs `14.76gxxg` inside water, calculate the specific gravity of sugar.
Text Solution
Verified by Experts
Let the density of sugar be d `g*cm^(-3)`. `therefore` Volume of sugar = `40/dcm^(3)`, volume of wax = `5.76/0.96cm^(3)`. Mass of water displaced by the coated sugar `=(40+5.76)xxg-14.76xxg` `=31gxxg`. `therefore` Volume of displaced water = `31cm^(3)` `therefore" "40/d+5.76/0.96=31or,40/d+6=31` or, `40/d=25or, d=40/25=1.6` `therefore` Specific gravity of sugar = 1.6 .
Topper's Solved these Questions
HYDROSTATICS
CHHAYA PUBLICATION|Exercise SECTION RELATED QUESTIONS|12 Videos
HYDROSTATICS
CHHAYA PUBLICATION|Exercise HIGHER ORDER THINKING SKILL (HOTS) QUESTIONS|37 Videos
FRICTION
CHHAYA PUBLICATION|Exercise CBSE SCANNER|7 Videos
KINETIC THEORY OF GASES
CHHAYA PUBLICATION|Exercise CBSE Scanner|9 Videos
Similar Questions
Explore conceptually related problems
Two bodies weigh the same when measured in water. The mass of one is 30 g and its specific gravity is 6. If the mass of the other body is 45g, then what will be its specific gravity?
A piece of wood weights 40gxxg in air. A piece of brass of mass 12 g is tied to the wooden piece and the combination floats just totally immersed in water. If the specific gravity of brass is 8.5, calculate the specific gravity of wood. [Density of water = 1g*cm^(-3) ]
Suspended from a thread, a piece of iron of mass 160 g remains immersed completely in water. If the specific gravity of iron is 8, calculate the tension in the thread.
A liquid kept in a calorimeter cools down from 50^(@)C to 40^(@)C in 2 minutes, and an equal volume of water in that calorimeter takes 5 minutes to cool down through the same range of temperature. If the mass of the water is 100 g and that of the liquid is 85 g. then calculate the specific heat of the liquid. Water equivalent of the calorimeter = 10 g.
A metallic sphere of radius 4 mm sinks in water. If it is coated with wax of a uniform thickness of 3 mm, it can just float in water. If the density of wax is 0.8g*cm^(-3) , then what will be the density of the metal?
A glass ball of density 2.6g*cm^(-3) is coated with a thick layer of wax of density 0.8g*cm^(-3) . If the combination floats in water remaining completely submerged, find the ratio of the volume of wax to that of the glass ball.
An alloy contains 60% copper and 40% nickel. A piece of this alloy of mass 50 g is heated to 50^(@)C and than dropped into a calorimeter of water equivalent 10 g containing 40 g of water at 20^(@)C . Calculate the final temperature of the mixture. Specific heat of copper ="0.09 cal.g"^(-1).^(@)C^(-1) , and of nickel = "0.11 cal.g"^(-1).^(@)C^(-1)
