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JEE Main 202116 MarchEvening Shift
Exam
JEE Main
Year
2021
Date
16 March
Shift
Evening Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2021 · 16 March · Evening Shift · Chemistry · Thermodynamics (C)

At 25 ° C, 50g of iron reacts with HCl to form FeCl _ 2 . The...

At 25°C,50g25 ° C, 50g of iron reacts with HClHCl to form FeCl2{FeCl}_{2}. The evolved hydrogen gas expands against a constant pressure of 1bar1bar. The work done by the gas during this expansion is -_______ JJ.

(Round off to the Nearest Integer)

[Given : R=8.314Jmol−1K−1R = 8 . 314J{mol}^{- 1}{K}^{- 1}. Assume, hydrogen is an ideal gas]

[Atomic mass off Fe is 55.85u55 . 85u]

Correct answer

0

Step-by-step solution

T=298K,R=8.314JmolKT = 298K, R = 8 . 314\dfrac{J}{molK}

→\to Chemical reaction is

Fe50g+2HCl→FeCl2P=1bar+H2(g)\mathop{Fe}_{50g} + 2HCl \to \mathop{{FeCl}_{2}}_{P = 1bar} + {H}_{2}\left(g\right)

=5055.85mol= \dfrac{50}{55 . 85}mol

→\to Work done for 1mol1mol gas

=−Pext×ΔV= - {P}_{ext} \times \Delta V

=ΔngRT= {\Delta n}_{g}RT

=−1×8.314×298J= - 1 \times 8 . 314 \times 298J

→\to Work done for 5055.85\dfrac{50}{55 . 85} mol of gas

=−8.314×298×5055.85J= - 8 . 314 \times 298 \times \dfrac{50}{55 . 85}J

=−2218.059J= - 2218 . 059J

≃−2218J≃ - 2218J

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