Question

For the adiabatic expansion of an ideal gas :

• A. $P{V}^{{\rm Y}}=constant$
• B. $T{V}^{{\rm Y}-1}=constant$
• C. $T{P}^{1-{\rm Y}}=constant$
• D. All of above

Answer 1

Answer: (D)

All of above

For an adiabatic gas, we have $P{V}^{\gamma }=constant$.
We know that $PV=nRT$
Substituting we get,
$T{V}^{\gamma -1}=constant$
$T{P}^{1-\gamma }=constant$
Hence option D is the right answer.