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Question

Boyle's law may be represented as

1.[dp/dv]T=K/V

2.[dp/dv]T=-K/V

3.[dp/dv]T=-K/V

4.[dp/dv]T=K/V^2

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Solution

PV = Constant
On differentiating at constant T we get
Pdv + Vdp = 0
(Or) (dp/dv)T=−P/V
(dp/dv)T=−K/V²
Since PV = K
but i think you missed the correct option there..
-k/v² is the answer...

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