Adiabatic Process: Final Temp & Heat Absorbed Calculation

In summary, the question asks for the amount of heat absorbed by a monatomic ideal gas (with lambda=5/3) undergoing an adiabatic process with an initial pressure of 400 kPa and an initial temperature of 450K, and a final temperature of 320K. The answer is closest to 0, as adiabatic processes do not involve heat transfer.
  • #1
jimbo71
81
0

Homework Statement


twenty moles of a monatomic ideal gas (lambda=5/3) undergo an adiabatic process the initial pressure is 400kpa and the initial temperature is 450K. The final temperature of the gas is 320K.
The heat absorbed by the gas in kJ is closest to?
a.0
b.+54
c.+32
d.-54
e.-32

Homework Equations


Q=0



The Attempt at a Solution


I think this is suppose to be a trick question. I thought an adiabatic process ment zero heat was gained or lost. Therefore shouldn't the answer be zero regardless of the temperature, moles, or pressure values given?
 
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  • #2
An adiabatic process won't add or take heat away from a gas. It doesn't mean that the gas itself cannot change temperature as a result of say an increase in pressure. Since the question asks how much was absorbed and they have indicated it is adiabatic, then ... 0 looks to be the answer.
 
  • #3


I would agree with your reasoning. An adiabatic process is defined as one in which there is no exchange of heat between the system and its surroundings. This means that the heat absorbed by the gas in this process would be equal to zero, regardless of the initial and final temperatures, pressure, or number of moles. Therefore, the correct answer to this question would be option a. 0. It is important to always carefully consider the definitions and principles of a particular process before attempting to solve a problem.
 

1. What is an adiabatic process?

An adiabatic process is a thermodynamic process in which there is no transfer of heat or matter between a system and its surroundings. This means that the system is completely isolated and there is no exchange of energy in the form of heat.

2. How is the final temperature calculated in an adiabatic process?

The final temperature in an adiabatic process can be calculated using the equation Tf = Ti * (Pf/Pi)^(γ-1), where Tf is the final temperature, Ti is the initial temperature, Pf is the final pressure, Pi is the initial pressure, and γ is the heat capacity ratio of the gas.

3. What is the heat absorbed in an adiabatic process?

The heat absorbed in an adiabatic process is calculated using the equation Q = m * Cp * ΔT, where Q is the heat absorbed, m is the mass of the gas, Cp is the specific heat capacity at constant pressure, and ΔT is the change in temperature.

4. Can the final temperature in an adiabatic process be higher than the initial temperature?

Yes, the final temperature in an adiabatic process can be higher than the initial temperature. This is because as the pressure of a gas decreases, it expands and does work on its surroundings, which results in an increase in temperature.

5. How does the heat absorbed in an adiabatic process compare to that in an isothermal process?

In an adiabatic process, the heat absorbed is equal to the change in internal energy of the gas, while in an isothermal process, the heat absorbed is equal to the change in enthalpy of the gas. Therefore, the heat absorbed in an isothermal process is generally higher than in an adiabatic process.

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