Thermodynamics relating to temperature and phase changes

In summary, we have a room with 75 m3 of air containing 80 kg of glycerol at an initial temperature of 16 °C. We need to calculate the final temperature of the air in the room in the afternoon after adding 1.2 kWh of heat. We will use 18 °C for the melting temperature, 200 J/kg for the specific latent heat of fusion, 2400 J/kgK for the liquid and solid state specific heat of glycerol, 1000 J/kgK for the specific heat capacity, and 1.2 kg/m3 for the density of air. We will also assume that the air and glycerol are at the same temperature and ignore the thermal mass of
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Mnemonic
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Homework Statement


Suppose a room with 75 m3 of air also contains 80 kg of glycerol and the initial temperature in the morning is 16 °C. If 1.2 kWh of heat is added to the room between morning and afternoon, calculate the final temperature of the air in the room in the afternoon.
Use 18 °C for the melting temperature, 200 J/kg for the specific latent heat of fusion, and 2400 J/kgK for the liquid and solid state specific heat of glycerol. Use 1000 J/kgK for the specific heat capacity and 1.2 kg/m3 for the density of air.

Assume that the air and glycerol are at the same temperature as each other (i.e. they are isothermal with one another). Ignore the thermal mass of other materials in the room.

Homework Equations


PV=nRT
Q=mcΔt=ncΔt

The Attempt at a Solution


I really don't know where to start :(
 
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Are you able to articulate what you think is happening in this problem? Being able to say in words what is happening is always the first step in solving a problem.

Chet
 

FAQ: Thermodynamics relating to temperature and phase changes

What is temperature and how is it related to thermodynamics?

Temperature is a measure of the average kinetic energy of molecules in a substance. In thermodynamics, temperature is directly related to the amount of heat energy present in a system. As temperature increases, the kinetic energy of molecules also increases, resulting in a higher temperature.

What are the three temperature scales used in thermodynamics?

The three temperature scales commonly used in thermodynamics are Celsius, Fahrenheit, and Kelvin. Celsius and Fahrenheit are based on the freezing and boiling points of water, while Kelvin is based on absolute zero, the point at which all molecular motion stops.

How do phase changes occur in relation to temperature?

Phase changes occur when a substance reaches a specific temperature and pressure at which its physical state changes. For example, water changes from a liquid to a gas at 100 degrees Celsius at standard atmospheric pressure. The reverse process, from gas to liquid, occurs at the same temperature and pressure.

What is the difference between a reversible and irreversible phase change?

A reversible phase change is one in which the substance can return to its original state by reversing the conditions that caused the change. An irreversible phase change, on the other hand, cannot be reversed and the substance permanently changes state.

How does thermodynamics explain the behavior of substances at different temperatures?

Thermodynamics explains the behavior of substances at different temperatures by examining the transfer of heat energy between substances. Heat always flows from a higher temperature to a lower temperature, resulting in changes in the state of matter. This process is governed by the laws of thermodynamics, which describe the relationships between temperature, heat, and energy.

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