Why pv digram of isothermal process have parabolic curve?
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Hey mate!!!
➡️Basically, if you use the gas law, PV = mRT, and keeping temperature constant i.e an isothermal process, it comes out to be PV = constant( m and R being constant for a particular gas). This implies pressure and volume to have an inverse relation which results in a rectangular hyperbolic curve in the P-V plot.
Taking natural logarithm, lnP + lnV= lnmRT,
Differentiating,
dp/P + dv/v = 0
dp/dv = -v/p.
➡️Basically, if you use the gas law, PV = mRT, and keeping temperature constant i.e an isothermal process, it comes out to be PV = constant( m and R being constant for a particular gas). This implies pressure and volume to have an inverse relation which results in a rectangular hyperbolic curve in the P-V plot.
Taking natural logarithm, lnP + lnV= lnmRT,
Differentiating,
dp/P + dv/v = 0
dp/dv = -v/p.
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