Question

For a reversible adiabatic ideal gas expansion `(dp)/(p)` is equal to
A. `gamma(dV)/(v)`
B. `-gamma(dv)/(v)`
C. `((gamma)/(gamma-1))(dV)/(V)`
D. `(dV)/(V)`

Answer 1

Correct Answer - B
As `PV^(1)="cosntant"impliesp.gammav^(gamma-1)xxdv+V^(gamma).dp=0`
`(dP)/(P)=-gamma(v^(gamma-1))/(V^(gamma))dv`
`implies(dp)/(p)=-gamma(dV)/(V)`