Difference between revisions of "Pressure, Volume, Quantity, and Temperature"
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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 | ||
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'''(d/dn)(nRT)/V = (RT/V)*(dn/d)n''' | '''(d/dn)(nRT)/V = (RT/V)*(dn/d)n''' | ||
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while the '''dT/dP''' formula says | while the '''dT/dP''' formula says | ||
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'''(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? | ||
Revision as of 14:41, 7 July 2021
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?