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Identification of Different Process

At 250C, 50 g...

Question

At $25^{0} C$ , $50 g$ 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 : $R = 8.314 J m o l^{- 1} K^{- 1}$ Assume, hydrogen is an ideal gas]
[Atomic mass of Fe is 55.85 u]

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Solution

$F e + 2 H C l \to F e C l_{2} + H_{2}$

$\frac{50}{55.85} m o l e s$ of Fe reacts with $H C l$ to form $\frac{50}{55.85} m o l e s$ of $H_{2}$ .

No. of $H_{2}$ produced = $\frac{50}{55.85} m o l e s$

Work done $= - P_{e x t} \times Δ V$

$= - Δ n_{g} R T$

$= - \frac{50}{55.85} \times 8.314 \times 298$

$= - 2218.05 J$
Nearest integer is 2218.

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