Determine which of the following reactions at constant pressure represent surrounding that do work on the system? I. 4NH3(g)+702(g)→4NO2(g)+6H2O(g) II. CO(g)+2H2(g)→CH3OH(l) III. C(s,graphite)+H2O(g)→CO(g)+H2(g) IV. H2O(s)→H2O(l)
A
III, IV
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B
II and III
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C
II, IV
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D
I and II, IV
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Solution
The correct option is C I and II, IV
When a gas is evolved during a chemical reaction, the gas can be imagined as displacing the atmosphere - pushing it back against the atmospheric pressure. The work done is therefore V×P where V is the volume of gas evolved, and P is the atmospheric pressure.
4NH3(g)+7O2(g)→4NO2(g)+6H2O(g)
In this reaction 11 vols of reagent combine to form 10 vol of product. The total volume falls, so the work done is negative (the atmosphere does work on the gaseous system).
CO(g)+2H2(g)→CH3OH(l)
3 volumes of reagent combine to form 1 vol of product. The total volume falls, so the work done is negative (the atmosphere does work on the gaseous system).
C(s,graphite)+H2O(g)→CO(g)+H2(g)
Here, 2 vols of reagents combine to produce 2 vols of product. No change in surrounding.
H2O(s)→H2O(l)
In this reaction solid volumes of reagent combine to form liquid product. The total volume increases, so the work done on the atmosphere is negative.