How many balloons of capacity 0.25dm3 at 1atm pressure can be filled from a hydrogen gas cylinder of 5dm3 capacity at 10 atm?
Correct answer: D. 200
- A. 50
- B. 90
- C. 180
- D. 200
Explanation
We will use Boyle's law for the relationship between volume and pressure. PV = k Where : P = Pressure V = Volume k = Constant Lets get PV for each : Balloon : 0.25 × 1 = 0.25...... k₁ Gas cylinder : 5 × 10 = 50......... k₂ To get the number n of the balloons the cylinder can supply we get : k₂ / k₁ = n 50 / 0.25 = 200 The answer is 200 balloons.
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About Ideal Gas Equation
The ideal gas equation, PV = nRT, relates pressure, volume, amount and absolute temperature when gas particles are assumed to have negligible volume and no intermolecular forces. Applications include finding molar mass, density or an unknown gas variable, with careful use of Kelvin temperature and consistent units, and comparison with real-gas behaviour.
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