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The gaseous system has a volume of $580 {cm}^{3}$ at a certain pressure. If its pressure is increased by 0.96 atm, its volume becomes $100 {cm}^{3}$ .Determine the initial pressure of the system
Hint: [P×580 = (P+0.96)100]

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detailed solution

Correct option is B

From Boyles Law, at constant temperature for the given amount of gas

Pressure is inversely proportional to its volume

so, $pα \frac{1}{v}$

At different conditions, $p_{1} v_{1} = p_{2} p_{2}$

$p \times 580 = (p + 0.96) 100$

$\Rightarrow 580 p = 100 p + 96$

$\Rightarrow p = \frac{96}{480} = 0.2 atm$

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The gaseous system has a volume of 580 cm3at a certain pressure. If its pressure is increased by 0.96 atm, its volume becomes100 cm3.Determine the initial pressure of the systemHint: [P×580 = (P+0.96)100]