A steel cylinder of $40$ litres capacity contains a gas under $200$ atmospheric pressure. Find how many cylinders of $400 {c m}^{3}$ capacity could be filled from it at $76 c m$ of $H g$ .[Temperature is constant]

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Solution

The steel cylinder having capacity V=40 litres and Pressure P=200 atm.
New cylinder having capacity v=400 cc=0.4 litre and pressure p=76 cm of Hg=1 atm.
$∴ P V = n p v$
$\Rightarrow 200 a t m \times 40 l i t r e s = n \times 1 a t m \times 0.4 l i t r e$
$\Rightarrow n = \frac{200 \times 40}{0.4} = 200 \times 100 = 20000$
$∴$ 20000 number of small cylinder will be needed.

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A steel cylinder of 40 litres capacity contains a gas under 200 atmospheric pressure. Find how many cylinders of 400cm3 capacity could be filled from it at 76cm of Hg.[Temperature is constant]

The steel cylinder having capacity V=40 litres and Pressure P=200 atm.New cylinder having capacity v=400 cc=0.4 litre and pressure p=76 cm of Hg=1 atm.∴PV=npv⇒200atm×40litres=n×1atm×0.4litre⇒n=200×400.4=200×100=20000∴ 20000 number of small cylinder will be needed.

A steel cylinder of $40$ litres capacity contains a gas under $200$ atmospheric pressure. Find how many cylinders of $400 {c m}^{3}$ capacity could be filled from it at $76 c m$ of $H g$ .[Temperature is constant]