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Question
The pressure P and volume V of a gas are connected by the formula PV = C; where C is a constant. If P = 4 when V = `2(1)/(2)`; find the value of P when V = 4?
Solution
Given that when P = 4, V = `2(1)/(2) = (5)/(2)`
PV = C
⇒ `4(5/2)` = C
⇒ C = 10
If V = 4, then
PV = C
⇒ P(4) = (10)
⇒ P = `(10)/(4)`
⇒ P = `(5)/(2)`.
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