Talk:Pressure, Volume, Quantity, and Temperature: Difference between revisions
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Created page with "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'''..." |
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The '''dP/dn''' formula in the Extra Credits section says | The '''dP/dn''' formula in the Extra Credits section says | ||
'''(d/dn)(nRT)/V = (RT/V)*(dn/d)n''' | '''(d/dn)(nRT)/V = (RT/V)*(dn/d)n''' | ||
while the '''dT/dP''' formula says | while the '''dT/dP''' formula says | ||
'''(d/dP){(PV)/(nR)} = {V/(nR)} * (d/dP)P''' | '''(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)'''. | 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 20:06, 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.