# Exercises on calorimetry

On this page you will find a collection of exercises on calorimetry.

This is a fundamental branch of thermodynamics that deals with the study of heat variations in physical systems. Through the use of instruments called calorimeters, it is possible to determine the changes in heat energy that accompany changes of state, chemical reactions and other phenomena.

Through these exercises, you will have the opportunity to apply the theoretical concepts you have learned and to develop a deeper understanding of the laws of calorimetry.

Each exercise is accompanied by a detailed solution that explains the method of solving step by step, highlighting the physical laws and mathematical formulas used.

This collection is designed for high school students and physical science enthusiasts who want to deepen their knowledge and improve their problem-solving skills.

Dive into the world of calorimetry and learn how it affects thermodynamic systems. Good luck with your work!

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## Exercises on calorimetry

### On the specific heat

Suppose we supply an amount of heat to a block of iron mass . If the specific heat of iron is

- Calculates the change in temperature of the block

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### On heat capacity

Suppose we supply an amount of heat to a ground copper block . If the specific heat of copper is and the temperature change that the block undergoes is

- Calculate the heat capacity of the block

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### On the latent heat of fusion of ice

Suppose we have an ice cube of mass. . If the latent heat of fusion of the ice is

- Calculate the heat needed to melt the cube

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### A simple exercise on the calorimeter of mixtures

Suppose we have a thermally insulated vessel containing of water at the temperature . A block of an unknown metal mass is then placed inside the vessel. at the temperature . If the system reaches an equilibrium temperature of

- Calculate the specific heat metal

[Hint: The specific heat of water is. ]

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### On irradiance and radiated power.

A spherical bulb of radius Is capable of radiating heat with a power of . If the bulb reaches a temperature of

- Calculates the emittance of the bulb

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### On conduction and Fourier's law

A square side window and thickness Is composed of glass of thermal conductivity . If after The difference between the outdoor temperature and the indoor temperature is

- Calculate the heat traded per minute

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### On the heat exchanged and the calculation of temperature

A bulk aluminum container and specific heat Is initially found at room temperature . Inside the container is poured of specific heat oil until the vessel and the oil reach an equilibrium temperature

- Calculates the initial temperature of the oil

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### On the equilibrium temperature

A mass of oil at the temperature is mixed with a mass Of the same oil at the temperature . If the specific heat of the oil is

- Calculate the equilibrium temperature

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### On the temperature of water vapor

To a mass of water at the temperature An amount of heat is supplied equal to

- Calculate the final temperature of water vapor

[Hint: The specific heat of water is. ; the latent heat of evaporation is ; the specific heat of water vapor is. ]

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### On the solidification of water

A mass ice cube and temperature is immersed in a vessel containing of water at the temperature . If at the equilibrium temperature the mass of ice is equal to

- Calculate the initial mass of ice

[Hint: The specific heat of ice is. ; the latent heat of solidification of water is ]

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### On the latent heat of fusion of a metal

A bulk copper block and latent heat of fusion equal to is initially found at the temperature . The block is then heated providing an amount of heat equal to . If the melting temperature of copper is

- Can we say that the whole copper block melts?

[Hint: The specific heat of copper is. ]

[we cannot]

### On a glass vessel

A bulk copper block at the temperature is immersed in a glass vessel of mass which contains a mass of water equal to at room temperature . Assuming that the system does not exchange heat with the external environment.

- Calculate the equilibrium temperature

[Hint: The specific heat of copper is. ; the specific heat of glass is ; the specific heat of water is ]

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### On the conservation of energy and heat

A mass copper bullet is fired with velocity Toward a stationary target of aluminum mass . The projectile and target are initially at room temperature . If the impact is completely inelastic and no heat exchange occurs with the external environment

- Calculate the equilibrium temperature Of the projectile + target system

[Hint: The specific heat of copper is. ; the specific heat of aluminum is ]

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### On the calorimeter of mixtures and three masses of oil at different temperatures

Consider three masses of oil at temperature , at temperature and at temperature . If these are mixed within a calorimeter of the mixtures.

- Calculate the equilibrium temperature

[Hint: The specific heat of oil is. ]

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### On the calculation of specific heat

A block of unknown bulk material at the temperature Is immersed in a vessel of thermal capacity which contains a mass of water equal to at room temperature . Assuming that the system does not exchange heat with the external environment, the system reaches an equilibrium temperature of

- Calculate the specific heat of the unknown material

[Hint: The specific heat of water is. ]

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