Question 961: Thermodynamics & KTG

Question

Which of the following relations does not give the equation of an adiabatic process, where terms have their usual meaning?

Accepted Answer

For an adiabatic process,
$$P{V^\gamma }$$ = constant Ã¢ÂÂ¦(i)
According to ideal gas equation
$${m{PV  =  nRT }} \Rightarrow P = {{nRT} \over V}$$
Putting value of P in (i), we get
$${{nRT} \over V}{V^\gamma }$$ = constant; $$ 	herefore $$ $$T{V^{\gamma  - 1}}$$ = constant
Again from the ideal gas equation
$$V = {{nRT} \over P}$$
Putting value of V in (i), we get
$$P{\left( {{{nRT} \over P}} ight)^\gamma }$$ = constant; $${P^{1 - \gamma }}{T^\gamma }$$ = constant

Answer

P
1$$-$$$$\gamma $$
T
$$\gamma $$
=  constant

Answer

PV
$$\gamma $$
=  constant

Answer

TV
$$\gamma $$$$-$$1
=  constant

Answer

P
$$\gamma $$
T
1$$-$$$$\gamma $$
=  constant

Thermodynamics & KTG

Which of the following relations does not give the equation of an adiabatic process, where terms have their usual meaning?

Choose the correct answer: