Question

A certain mass of a gas occupies 1200 litres at 2 atm. What pressure must be applied for it to occupy 60 litres at the same temperature?
Please reply asap​

Answer 1

Given info : A certain mass of a gas occupies 1200 litres at 2 atm.

To find : if it occupies 60 litre at the same temperature, what pressure must be applied on the gas ...

solution : at the same temperature, pressure is inversely proportional to volume of gas.

i.e., P ∝ 1/V

⇒PV = constant [ it is also known as Boyle's equation]

⇒P₁V₁ = P₂V₂

here P₁ = 2 atm, V₁ = 1200 litres , P₂ = ? and V₂ = 60 litres.

so, 2 atm × 1200 litres = P₂ × 60 litres

⇒40 = P₂

Therefore the pressure on the gas must be applied is 40 atm.

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