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
`PV^(gamma)` = constant, `P.gammaV^(gamma-1).dV+V^(gamma).dP=0`
`therefore" "(dP)/(P)=-gamma.(dV)/(V)`