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For an adiabatic process which of the following statement is not true 

Option: 1

slope of adiabatic curve in PV diagram is  \frac{dP}{dV} = - \gamma \left [ \frac{P}{V} \right ]


Option: 2

specific heat of a gas during adiabatic process is infinite 


Option: 3

example - sudden bursting of the tube of bicycle tyre


Option: 4

Equation of state is TV^{\gamma -1}= constant


Answers (1)

best_answer

As we have learned

Slope of Adiabatic curve -

\because PV^{\gamma }= constant

slope =\frac{dP}{dV}

 

- wherein

\frac{dP}{dV}= -\gamma \frac{P}{V}

 

 Slope = \frac{dP}{dV} = - \gamma \left [ \frac{P}{V} \right ]\\\\ specific \: \: heat = C = \frac{\Delta Q}{m \Delta T} = \frac{0}{m \Delta T} = 0 \\\\ PV^{\gamma } = constant \: \: \: \: using \: \: PV= RT\\\\ we \: \: get \\\\ TV^{\gamma -1}= cost

 

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manish painkra

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