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Find out the minimum height from which a...

Find out the minimum height from which a piece of ice at `0^(@)C` should be dropped so that it melts completely. Assume that 50% of the energy lost due to its fall is responsible for the fusion of ice. `J = 4.2 xx 10^(7) erg cdot cal^(-1)`, latent heat of fusion of ice = `80 cal cdot g^(-1)`.

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The correct Answer is:
`6.86 xx 10^(6) cm`
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Find out the minimum height from which a piece of ice at 0^(@)C should be dropped so that it melts completely due to its impact with the ground. Assume that half of the energy loss due to the fall is responsible for the fusion of ice. (Latent heat of fusion of ice = 80 cal cdot g^(-1), g = 980 cm cdot s^(-2) , J = 4.2 J cdot cal^(-1))

Find out the minimum height from which a piece of ice should be dropped to the ground so that it melts completely. Assume that 20% of energy is lost. J = 4.2 xx 10^(7) erg cdot cal^(-1) and latent heat of fusion of ice = 80 cal cdot g^(-1) .

The mechanical equivalent of heat is 4.2 xx 10^(7) erg cdot cal^(-1) . What does it mean?

The temperature of a piece of lead is 27^(@)C . Find out the minimum velocity of its impact with a wall so that it melts completely. Suppose 58% of the heat generated is dissipated. Given, J = 4.2 J cdot cal^(-1) , melting point, specific heat and latent heat of fusion of lead are 327^(@)C, 0.03 cal cdot g^(-1) cdot^(@)C^(-1) and 5 cal cdot g^(-1) , respectively.

10g of water at 30^(@)C and 5g of ice at -20^(@) C are mixed together in a calorimeter. What is the final temperature of the mixture? Given specific heat of ice= 0.5 cal g^(-1) (""^(0)C)^(-1) and latent heat of fusion of ice =80 cal g^(-1)

Water drops from a height of 50 m in a waterfall. Find out the rise in temperature of water, if 75% of its energy is converted into heat and absorbed by water. (J = 4.2 xx 10^(7) erg cdot cal^(-1) , g = 9.8 m cdot s^(-2))

A body of mass 1 kg falls to the ground from a height of 1km. If the entire amount of energy is converted into heat , find out the amount of heat produced. (J = 4 cdot 1 xx 10^(7) erg cdot cal^(-1)) .

A lead bullet stopped on hitting an iron plate at a velocity of 300 m cdot s^(-1) . Find out the rise in temperature of the bullet, if the heat evolved is shared equally between the bullet and the plate. Given, J = 4 cdot 2 xx 10^(7) erg cdot cal^(-1) , specific heat of lead = 0.03 cal cdot g^(-1) cdot^(@)C^(-1) .

A piece of lead is dropped to the ground from a height of 200 m. What will be the increase in its temperature? Specific heat of lead = 0.03 cal cdot g^(-1) cdot^(@)C^(-1), J = 4.2 xx 10^(7) erg cdot cal^(-1)

Two pieces of ice, of equal mass and moving towards each other with the same velocity, collide head on and are vaporised due to this collision. Find out the minimum initial velocity of the pieces of ice. Given, initial temperature, specific heat and latent heat of fusion of ice are -12^(@)C, 0.5 cal cdot g^(-1) cdot^(@)C^(-1) and 80cal cdot^(@)g^(-1) respectively, latent heat of steam is 540 cal cdot g^(-1) .

CHHAYA PUBLICATION-FIRST AND SECOND LAW OF THERMODYNAMICS-Exercise - Problem Set - II (Marks 3 or 4)
  1. The speed of a 50 kg heavenly object reduces from 30 km cdot "min"^(-1...

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  2. Sea water is splattered horizontally from a jet at a speed of 10 m cdo...

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  3. Find out the minimum height from which a piece of ice at 0^(@)C should...

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  4. A lead bullet melts on hitting a fixed target. What will be the minimu...

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  5. A certain volume of a gas expands at one standard atmosphere pressure ...

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  6. The volume of 1 mol of a gas is doubled when it expands isothermally a...

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  7. 70 cal of heat is required to increase the temperature of 2 mol of an ...

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  8. What will be the change in internal energy of 128 g of oxygen gas at c...

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  9. What will be the increase in temperature if dry air at 27^(@)C is comp...

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  10. The tyre of a motorcar bursts suddenly when air was being pumped in it...

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  11. Calculate the amount of work done, if 20 g of hydrogen gas is compress...

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  12. Some amount of gas at 27^(@)C is suddenly compressed to 27 times its ...

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  13. In an adiabatic process where pressure is increased by 2/3%, if (Cp)/(...

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  14. The volume of air increases by 2% in its adiabatic expansion. Calculat...

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  15. Air at 27^(@)C and 128 atm pressure is filled in a container in resear...

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  16. Equal volume of mono atomic and diatomic gases of same initial tempera...

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  17. A steam engine delivers 5.4 xx 10^(8)J of work per minute and services...

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  18. A reversible heat engine converts 1/6 th of heat, which it extracts fr...

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  19. What will be the specific heats of helium at constant volume and const...

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  20. The mass of 1 L of air at STP is 1.293 g. If c(v) = 0.169 cal cdot g^(...

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