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Effect of High Latent Heat of Fusion of Ice

An amount of ...

Question

An amount of energy is added to ice, raising its temperature from $- 10^{0} C$ to $- 5^{0} C$ . A larger amount of energy is added to the same mass of water, raising its temperature from $15^{0} C$ to $20^{0} C$ . From these results, what would you conclude?

Overcoming the latent heat of fusion of ice requires an input of energy.

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The latent heat of fusion of ice delivers some energy to the system.

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The specific heat of ice is less than that of water.

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The specific heat of ice is greater than that of water.

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More information is needed to draw any conclusion.

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Solution

The correct option is B The specific heat of ice is less than that of water.
Since less energy was required to produce a $5^{0} C$ rise in the temperature of the ice than was required to produce a $5^{0} C$ rise in temperature of an equal mass of water, we conclude that the specific heat of ice $[c = Q / m (Δ T)]$ is less than that of water.

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Similar questions

10 g of ice at $0^{o} C$ absorbs 5460 J of heat energy to melt and change to water at $50^{o} C$ . Calculate the specific latent heat of fusion of ice. Specific heat capacity of water is 4200 J $k g^{-} 1 K^{- 1}$ .

Q. What is the amount of heat energy required to convert ice of mass 20 Kg at

- 4^{0} C

to water at

20^{0} C

? Use the relevant option for calculation.
a) Latent heat of fusion of ice 3.34 x

10^{5}

J / Kg.
b) Specific heat capacity of water is 4180 J / Kg / K
c) Specific heat of ice 2093 J / Kg / K

Q. How much heat energy is released when 5.0 g of water at

20^{0} C

changes to ice at

0^{0} C

? Take specific heat capacity of water equal to 4.2

J g^{- 1} C^{- 1}

, specific latent heat of fusion of ice = 336

J g^{- 1}

Q. The amount of heat energy required to convert

1 k g

of ice at

- 10^{o} C

to water at

100^{o} C

7, 77, 000 J

. Calculate the specific latent heat of ice. Specific heat capacity of ice

= 2100 J k g^{- 1} K^{- 1}

, specific heat capacity of water

= 4200 J k g^{- 1} K^{- 1}

Q. Heat energy is supplied at a constant rate to

100 g

of ice at

0^{\circ} C

. The ice is converted into water at

0^{\circ} C

2

minutes. How much time will be required to raised the temperature of water from

0^{\circ} C

20^{\circ} C

? [Given: specific heat capacity of water

= 4.2 J g^{- 1}^{\circ} C^{- 1}

, specific latent heat of ice

= 336 J g^{- 1}]

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An amount of energy is added to ice, raising its temperature from −100C to −50C. A larger amount of energy is added to the same mass of water, raising its temperature from 150C to 200C. From these results, what would you conclude?

An amount of energy is added to ice, raising its temperature from $- 10^{0} C$ to $- 5^{0} C$ . A larger amount of energy is added to the same mass of water, raising its temperature from $15^{0} C$ to $20^{0} C$ . From these results, what would you conclude?