Which of the following are correct according to Boyle's law ?

Options

A. `((del P)/(del V))_(T)=-(K)/(V)`
B. `((dV)/(dP))_(T)=+(K)/(P^(2))`
C. `((dV)/(dP))_(T)=-(K)/(P^(2))`
D. `((dV)/(dP))_(T)=+(K)/(P)`

Answer

C

Explanation

`V prop""(1)/(P) rArr V=(K)/(P)`
`therefore ((dV)/(dP))_(T)=-(K)/(P^(2))`
Also, `P=(K)/(V)`
`((dP)/(dV))_(T)=-(K)/(V^(2))`
Hence, (C ) are the correct answer.