Equation for Boyle's law is

Options

A. `(dP)/(P) = - (dV)/(V)`
B. `(dP)/(P) = + (dV)/(V)`
C. `(d^2P)/(P) = - (dV)/(dT)`
D. `(d^2P)/(P) = +(d^2V)/(dT)`

Answer

A

Explanation

Boyle.s law PV = constant
On differentiating the equation,
`d(PV) = d(C ) rArr PdV+ VdP = 0`
`rArr VdP =- PdV rArr (dP)/(P) = - (dV)/(V)`.