Principle of calorimetry questions

(1). A block of material weighing 500 g at 100 ⁰c is dropped into 100 g of water at 12⁰c . If the water is contained in copper calorimeter (specific heat = 0.093 cal g^{-1  0}c^-1 ) weighing 100g and the temperature rises to 49 0c , what is the specific heat of the substance?

Ans:- 0.159 cal .

(2). A 200 gram copper calorimeter contains 150 gram of oil at 20 ⁰c . To the oil is added 80 gram of aluminium at equilibrium is established. Give that specific heat of copper = 0.3906 J g^{-1  0}c^-1, specific heat of aluminium = 0.882 J and specific heat of oil = 1.554 j g^{-1  0}c^-1 .

Ans:- 71.75 ⁰c

(3). A piece of iron of mass 0.1 kg is kept inside a furnace, till it attains the temperature of the furnace. The hot piece of iron is then dropped into a calorimeter containing 0.24 kg of water at 20 ⁰c. The mixture attains an equilibrium temperature of 60 ⁰c. Find the temperature of the furnace. Given that water equivalent of calorimeter = 0.01 kg and specific heat of iron = 470 J g^{-1  0}c^-1

Ans:- 953.62 ⁰c.

(4). An electric heater of power 1,000 W raises the temperature of 5kg of a liquid from 25 ⁰c to 31 ⁰c in 2 minutes. Calculate heat capacity of the liquid and its specific heat.

Ans:- 2 x 10 J ⁰c^-1 ; 4,000 J kg^{-1 0}c^-1.

(5). A refrigerator converts 50 g of water a at 15 0c into ice at -15⁰c in one hour. Determine the quantity of heat removed per minute. Specific latent heat of ice is 336 J g^-1  and specific heat of ice is 2.1 J g^{-1  0}c^-1.

Ans:- 358.75 J g^{-1  0}c^-1

(6). Determine the resulting temperature, when 150 grams of ice at 0⁰c is mixed with 300 gram of water at 50⁰c. Given, latent heat of fusion of ice = 336 J g^-1.

Ans:- 6.67 ⁰c

(7). One kilogram of ice at -100⁰c is heated, until the whole of it evaporates. How much heat is required? Given that latent heat of fusion of ice = 336 x 10³ J kg^-1 , latent heat of steam = 2268 x 10³ J kg^-1 and specific heat of ice 2.1 x 10³ Jkg^{-1 0}c^-1

Ans:- 3.045 x 10 6 J

(8). The temperature of 100 g of water is to be raised from 24 0c to 90 0c by adding steam to it. Calculate the mass of the steam required for this purpose. Take specific heat of water = 4.2 x 10 3 J and latent heat of vaporisation = 2268 x 10 3 J

Ans:-12 g

 

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