Solve Thermodynamics Problem: Change in Temp w/ Volume, Power & Specific Heat

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To calculate the change in temperature for a body in an isochoric process, the specific heat at constant volume (Cv) is essential, as it relates heat transfer to temperature change. The power of the heater can be converted from Watts to Joules per hour, but the heat value (dq) cannot be determined without a specified time period. The relationship dT = dq/Cv indicates that temperature change can only be expressed per time unit, not as a total change without time. Additionally, looking up internal energy values from superheated tables may be necessary for precise calculations. Ultimately, a time assumption is required to compute the total change in heat.
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Homework Statement



I'm getting a bit stuck with this problem..

Given a volume, it's specific heat at constant volume, an initial temperature, pressure (atmospheric) and the power of a heater within this volume, I am expected to calculate the change in temperature for the body.

Homework Equations


I understand that Cv=du/dT. I also understand that the volume doesn't change as it is an isochoric process.


We get dT= dq/Cv=du/Cv. I don't understnad how to get the heat value. I've converted the power of the heater from Watts to Joules per hour..
 
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From the data given you can calculate temperature change per time unit only (so you can say "temperature increased by ... °C per second", but not "temperature increased by ... °C").
 
how can i calculate the change of heat though, wiht what has been given to me?
 
am I expected to look up the internal energy on a superheated table and interpolate across to find the first internal energy?
 
tigertan said:
how can i calculate the change of heat though, wiht what has been given to me?

You can't without assuming some period of time.
 
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