Thermodynamics of a adiabatic system with degrees of freedom

Thread starter heyhey1233
Start date Dec 12, 2012
Tags

Adiabatic Degrees Degrees of freedom System Thermodynamics

AI Thread Summary

In an adiabatic process where 16 J of work is done on each mole of a gas with 5 degrees of freedom, the temperature change can be calculated using the first law of thermodynamics and the formula for the variation of internal energy of an ideal gas. The relationship between work done and temperature change is expressed as ΔU = Q - W, where Q is zero in an adiabatic process. For a gas with 5 degrees of freedom, the change in internal energy is directly related to the temperature change by the equation ΔU = (f/2) * n * R * ΔT. This leads to the conclusion that the temperature change is 6.4/R (K). Understanding these principles is essential for solving problems related to adiabatic processes in thermodynamics.

Dec 12, 2012

heyhey1233

In an adiabatic process 16 J of work are done on each mole
of a gas. If the gas has 5 degrees of freedom, how much
does its temperature change? Answer in terms of R

I know the answer is 6.4/R (K), but don't quite sure understand the the theory or math behind it.

Science news on Phys.org

Dec 12, 2012

nasu

Homework Helper

You can use the first law (principle) and formula for the variation of internal energy of an ideal gas.

Thread 'Condensate rate of water for an air conditioning cooling coil'

I need to calculate the amount of water condensed from a DX cooling coil per hour given the size of the expansion coil (the total condensing surface area), the incoming air temperature, the amount of air flow from the fan, the BTU capacity of the compressor and the incoming air humidity. There are lots of condenser calculators around but they all need the air flow and incoming and outgoing humidity and then give a total volume of condensed water but I need more than that. The size of the...

View full post »

Thread 'Entropy and configurations of microstates'

I was watching a Khan Academy video on entropy called: Reconciling thermodynamic and state definitions of entropy. So in the video it says: Let's say I have a container. And in that container, I have gas particles and they're bouncing around like gas particles tend to do, creating some pressure on the container of a certain volume. And let's say I have n particles. Now, each of these particles could be in x different states. Now, if each of them can be in x different states, how many total...

View full post »

Thread 'Why work is PdV and not (P+dP)dV in an isothermal process?'

Let's say we have a cylinder of volume V1 with a frictionless movable piston and some gas trapped inside with pressure P1 and temperature T1. On top of the piston lay some small pebbles that add weight and essentially create the pressure P1. Also the system is inside a reservoir of water that keeps its temperature constant at T1. The system is in equilibrium at V1, P1, T1. Now let's say i put another very small pebble on top of the piston (0,00001kg) and after some seconds the system...

View full post »