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Difference between revisions of "Pressure, Volume, Quantity, and Temperature"

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Notice that, on the right side of the equation, the '''dP/dn''' formula inverts '''(d/dn)''' while the '''dT/dP''' does not invert '''(d/dP)'''.
 
Notice that, on the right side of the equation, the '''dP/dn''' formula inverts '''(d/dn)''' while the '''dT/dP''' does not invert '''(d/dP)'''.
 
Is the first formula wrong?
 
Is the first formula wrong?
 +
 +
Reply: Good catch.  The final answer is still correct, but the intermediate equation has the differential inverted.  I've corrected it.

Latest revision as of 15:06, 7 June 2022

The dP/dn formula in the Extra Credits section says

(d/dn)(nRT)/V = (RT/V)*(dn/d)n

while the dT/dP formula says

(d/dP){(PV)/(nR)} = {V/(nR)} * (d/dP)P

Notice that, on the right side of the equation, the dP/dn formula inverts (d/dn) while the dT/dP does not invert (d/dP). Is the first formula wrong?

Reply: Good catch. The final answer is still correct, but the intermediate equation has the differential inverted. I've corrected it.