Question

Equation of Boyle's law is.

• A. $\frac { d P } { p } = - \frac { d V } { V }$
• B. $\frac { d P } { P } = + \frac { d V } { V }$
• C. $\frac { d ^ { 2 } P } { P } = - \frac { d V } { d T }$
• D. $\frac { d ^ { 2 } P } { P } = + \frac { d ^ { 2 } V } { d T }$

Answer 1

Answer: (A)

$\frac { d P } { p } = - \frac { d V } { V }$

Answer 2

Boyle's law $- P V$= constant

On differentiating the equation,

$d ( P V ) = d ( C )$ ⇒ $P d V + V d P = 0$

⇒ $V d P = - P d V$⇒ $\frac { d P } { P } = - \frac { d V } { V }$.