A) Slope of adiabatic \[P-V\] curve will be the same as that of isothermal one.
B) Slope of adiabatic \[P-V\] curve is smaller than that in isothermal one.
C) Slope of adiabatic \[P-V\] curve is larger than that in isothermal one.
D) Slope of adiabatic \[P-V\] curve may be smaller or larger depending on the value V.
Correct Answer: C
Solution :
Slope of PV curve, for isothermal process \[\frac{dP}{dV}=-\frac{P}{V}\] Slope of PV curve of r adiabatic process \[\frac{dP}{dV}=-\gamma \frac{P}{V}\] As \[\gamma >1\,\,\,{{\left( \frac{dP}{dV} \right)}_{adiabatic}}\,\,>\,\,{{\left( \frac{dp}{dv} \right)}_{isothermal}}\]
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