A rigid closed vessel of 16.42 L capacity contains some ideal gas at 8 7 ∘ C . Due to some pin hole made during transportation of vessel, some leakage started. Calculate the mass of gas leaked out (in

Question

A rigid closed vessel of 16.42 L capacity contains some ideal gas at 8 7 ∘ C . Due to some pin hole made during transportation of vessel, some leakage started. Calculate the mass of gas leaked out (in gm) till the pressure dropped by 0.72 atm keeping temperature constant. The density of gas at STP is 2.0 gm / litre. Give the mass in grams, rounded to the nearest whole gram.

TestHub · Accepted Answer

Concepts: Ideal Gas Law, Molar Mass from STP Density.

Mass leaked = $(Δ P V / RT) \times (d_{STP} \times 22.4)$ . Molar mass is 2 times 22.4 = 44.8 g/mol. The pressure drop gives lost moles 0.400. Lost mass is 17.92 g, rounding to key 18 g.

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