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Question Number 31326 by rahul@ last updated on 06/Mar/18

Commented by rahul@ last updated on 06/Mar/18

$p l z s o l v e i t$
	Answered by tanmay.chaudhury50@gmail.com last updated on 20/May/18

	$w h e n t i m e t p r e s s u r e = p$ $v o l u m e = v$ $i n t i m e t + d t, v o l u m e = v - d v p r e s s u r e = p + d p$ $(v - d v) (p + d p) = p v$ $p v + v d p - p d v = p v$ $v d p = p d v$ $\frac{d p}{p} = \frac{d v}{v}$ $l n p = l n v + l n k$ $l n (\frac{p}{v}) = l n k$ $p = v k$ $\frac{d p}{d t} = \frac{d v}{d t} \times k$ $\frac{d p}{d t} = r k$ $\frac{d v}{d t} = r r s h o u l d b e n e g a t i v e b e c a u s e d v = - v e$ $d t = + v e$ $d v = - r d t$ $v = - r t + c$ $t = 0$ $v = v_{0}$ $v = - r t + v_{0}$ $v_{o} / 2 = - r t + v_{0}$ $r t = \frac{v_{0}}{2}$ $t = \frac{v_{0}}{2 r}$ $p l s c h e c k w h e t h e r a n s i s r i g h t o r w r o n g$ $p l s c o m m e n t$
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