Calorimetry

Q.

1 kg of ice at $0^{\circ }C$ is mixed with 1 kg of steam at ${100}^{\circ }C$. What will be the composition of the system when thermal equilibrium is reached? Latent heat of fusion of ice = $3.36\times {10}^{5}Jk{g}^{-1}$, specific heat capacity of water = 4200 J kg ⁻¹ K⁻¹ and latent heat of vaporization of water = $2.26\times {10}^{6}Jk{g}^{-1}$

1. 2kg steam

2. 2 kg ice

3. 665gm water, 1.335 kg steam

4. 665 gm steam, 1.335 kg water

Q. A lump of $0.10kg$ of ice at $-{10}^{\circ }C$ is put in $0.15kg$ of water at ${20}^{\circ }C$. How much water and ice will be found in the mixture when it has reached in thermal equilibrium.
(Specific heat of water $=1kcalk{g}^{-1}$, specific heat of ice $=0.50kcalk{g}^{-1}$ while its latent heat $=80kcalk{g}^{-1}$)

1. Ice is 16.75 gm , and water is 11.25 gm at .
2. Ice is 6.75 gm , and water is 181.25 gm at .
3. Ice is 108.75 gm , and water is 101.25 gm at .
4. Ice is 68.75 gm , and water is 181.25 gm at .

Q. A 5 g piece of ice at - ${20}^{\circ }C$ is put into 10g of water at ${30}^{\circ }C$. Assuming that heat is exchanged only between the ice and the water, find the final temperature of the mixture.

1. 
2. 
3. 
4. 

Q. A 5g piece of ice at $-{20}^{\circ }$C is put into 10g of water at ${30}^{\circ }$C. Assuming that heat is enchanged only between the ice and the water, find the final temperature of the mixture. Specific heat capacity of ice $=2100Jk{g}^{-1}{}^{\circ }{C}^{-1}$. Specific heat capacity of water $=4200Jk{g}^{-1}{}^{\circ }{C}^{-1}$ and latent heat of fusion of ice $3.36\times {10}^{5}Jk{g}^{-1}$.

1. ${20}^{\circ }C$
2. ${30}^{\circ }C$
3. $0^{\circ }C$
4. ${10}^{\circ }C$

Q. Find the result of mixing $10g$ of ice at $-{10}^{o}C$ with $10g$ of water at ${10}^{o}C$. Specific heat capacity of ice $=2.1J{g}^{-1}{K}^{-1}$, specific latent heat of ice $=336J{g}^{-1}$ and specific heat capacity of water $=4.2J{g}^{-1}{K}^{-1}$

1. $0.625g$ ice will melt. Temperature will remain $0^{o}C$
2. $0.625g$ ice will melt. Temperature will increase to $5^{o}C$
3. $10g$ ice will melt. Temperature will increase to $5^{o}C$
4. $10g$ ice will melt. Temperature will remain $0^{o}C$

Q. In an industrial process 10 kg of water per hour is to be heated from ${20}^{\circ }Cto{80}^{\circ }C.$ To do this steam at ${150}^{\circ }C$ is
passed from a boiler into a copper coil immersed in water. The steam condenses in the coil and is returned to
the boiler as water at ${90}^{\circ }C.$ how many kg of steam is required per hour.
(Specific heat of steam = 1 calorie per gm°C, Latent heat of vaporization = 540 cal/gm)

1. 1 gm
2. 1 kg
3. 10 gm
4. 10 kg

Q. Calculate the amount of heat required to convert 5 kg of ice at $0^{\circ }C$ to vapour at ${100}^{\circ }C$.

1. $1.5\times {10}^{7}J$
2. $3.5\times {10}^{7}J$
3. $2.5\times {10}^{7}J$
4. $4.5\times {10}^{7}J$

Q. Find the result of mixing $10g$ of ice at $-{10}^{\circ }C$ with $10g$ of water at ${10}^{\circ }C$. Specific heat capacity of ice = $2.1J{g}^{-1}{K}^{-1}$, specific latent heat of ice = $336J{g}^{-1}$ and specific heat capacity of water = $4.2J{g}^{-1}{K}^{-1}$

1. $6.25g$ ice will melt. Temperature will remain $0^{\circ }$
2. $0.625g$ ice will melt. Temperature will increase to ${10}^{\circ }$
3. $0.625g$ ice will melt. Temperature will remain $0^{\circ }$
4. $6.25g$ ice will melt. Temperature will increase to ${10}^{\circ }$

Q. A piece of metal at 20^oC has a mass of 60g. When it is immersed in a current of steam at 100^∘C, 0.5g of steam is condensed on it. Determine the specific heat of metal, given that the latent heat of steam = 540 cal/g.

Q.

Steam at ${100}^{\circ }C$ is passed into 1.1 kg of water contained in a calorimeter of water equivalent 0.02 kg at ${15}^{\circ }C$ till the temperature of the calorimeter and its contents rises to ${80}^{\circ }C$. The mass of the steam condensed in kg is

1. 0.130

2. 0.065

3. 0.260

4. 0.135

Q. The temperature at which water and ice exists together is:

1. $273$ K
2. $373$ K
3. $300$ K
4. $0$ K

Q. Calculate the amount of heat required to convert 1.00 kg of ice at $-{10}^{\circ }$C into steam at ${100}^{\circ }$C at normal pressure. $(S_{ice}=2100Jk{g}^{-1}{K}^{-1},S_{water}=4200Jk{g}^{-1}{K}^{-1}L{f}_{ice}=3.36\times {10}^{5}Jk{g}^{-1}L{v}_{water}=2.25\times {10}^{6}Jk{g}^{-1})$

1. $3.03\times {10}^{6}J$
2. $4.03\times {10}^{6}J$
3. $5.03\times {10}^{6}J$
4. $5.03\times {10}^{6}J$

Q.

On which of the following does the specific heat capacity of a body depend?

1. The heat impart

2. The mass of the body

3. Temperature

4. The material it is made up of

Q. A molten metal of mass $150g$ is kept at its melting point ${800}^{\circ }C$. If the specific heat capacity of metal is $200Jk{g}^{-1}{K}^{-1}$, how much additional heat energy will the metal give out in cooling to $-{50}^{\circ }C$ ?

1. $2.55J$
2. $25.5J$
3. $255J$
4. $25,500J$