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System, Surroundings, Intensive, Extensive Properties

At 25∘C, 50 g...

Question

At $25^{\circ} C, 50 g$ of iron reacts with $H C l$ to form $F e C l_{2}$ . The evolved hydrogen gas expands against a constant pressure of $1 bar$ . The work done by the gas during this expansion is $J$ .
(Round off to the nearest integer).
[Given: $R = 8.14 {J mol}^{- 1} K^{- 1}$ .
Assume, hydrogen is an ideal gas]
[Atomic mass of $F e$ is $55.85 u$ ]

2218

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2218.00

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2218.0

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Solution

$F e + 2 H C l \to F e C l_{2} + H_{2} (g)$
50 g
Moles of $F e = \frac{50}{55.85} mol$ = Moles of $H_{2}$
$W_{i r r e v} = - P_{e x t} . Δ V$
=- moles of $H_{2} \times R T$
$= - \frac{50}{55.85} \times 8.314 \times 298$
$= - 2218.05 J$
Nearest integer $= 2218$

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