First slide

Gaseous state

Question

Two moles of a gas are confined to a five litre flask at 27°C. Calculate it pressure using van der Waals equation. For ammonia a = 6.25 atm $l i t^{- 2} m o l^{- 2}$ and b = 0.037 lit mol–1.

Moderate

Solution

$(P + \frac{a n^{2}}{v^{2}}) (V - n b) = n R T$
$(P + \frac{4 \times 6.25}{{(5)}^{2}}) (5 - 2 (0.037)) = 2 \times 0.084 \times 300$
$(P + 1) (4.926) = 49.26$
$P + 1 = 10$
$P = 9$

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