50 g of iron reacts completely with two molar equivalents of hydrochloric acid i
ID: 473763 • Letter: 5
Question
50 g of iron reacts completely with two molar equivalents of hydrochloric acid in solution, evolving gaseous H2 and generating the salt FeCl2. Calculate the pressure-volume work done by the evolved H2 gas under the following conditions. Use the ideal gas equation of state for all gases. a. In a closed vessel of fixed volume. b. In an open beaker at 25 °C, at 1 atm of pressure. If you are confused about what volume to use here, pretend the evolved H2 is collected in a massless, flimsy bag above the beaker.
Explanation / Answer
work done
Fe + 2HCl --> FeCl2 + H2
a. In a closed vessel of fixed volume
work done = 0 kJ
b. In an open vesel
moles of H2 produced = 50 g/55.845 g/mol
= 0.895 mol
Volume (V) = nRT/P
= 0.895 x 0.08205 x 298
= 21.88 L
Work done = -1 x 21.88 x 101.33
= -2.217 kJ
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