An amount of solid NH₄HS is placed in a flask already containing ammonia gas at a certain temperature and 0.50 atm. Pressure. Ammonium hydrogen sulphide decomposes to yield NH₃ and H₂S gases in the flask. When the decomposition reaction reaches equilibrium, the total pressure in the flask rises to 0.84 atm. The equilibrium constant for NH₄HS decomposition at this temperature is

0.30

0.18

0.17

0.11

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Solution

0.11

NH subscript 4 HS space rightwards harpoon over leftwards harpoon with space space space space space space space space space space space on top space NH subscript 3 space left parenthesis straight g right parenthesis space plus space straight H subscript 2 straight S space left parenthesis straight g right parenthesis space straight a space space space space space space space space space space space space space space space space space space space space space 0.5 space atm straight a minus straight x space space space space space space space space space space space space space space space space space space 0.5 plus straight x space space space space space space space space space straight x Total space pressure space equals space 0.5 space plus 2 straight x space equals space 0.84 straight i. straight e. comma space straight x space equals space 0.17 straight K subscript straight P space equals space straight p subscript NH subscript 3. end subscript straight p subscript straight H subscript 2 straight S end subscript space equals space left parenthesis 0.67 right parenthesis. left parenthesis 0.17 right parenthesis space equals space 0.1139

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