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When 5.1 g of solid NH4HS is introduced into a two litre evacuated flask at 27°C, 20% of the solid decomposes into gaseous ammonia and hydrogen sulphide.

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When 5.1 g of solid NH4HS is introduced into a two litre evacuated flask at 27°C, 20% of the solid decomposes into gaseous ammonia and hydrogen sulphide. The Kp for the reaction at 27°C is x × 10-2. The value of x is _______. (Integer answer)

[Given R = 0.082 L atm K-1 mol-1]

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moles of NH4HS initially taken = \(\frac{5.1g}{51g/mol}\)

= 0.1 mol

volume of vessel = 2ℓ

NH4HS ⇌ NH3(g) + H2S(g)

t = 0       0.1 mol

t = ∞     0.1(1 - 0.2)    0.1 x 0.2   0.1 x 0.2

⇒ partial pressure of each component

P = \(\frac{nRT}{V}\) = \(\frac{0.1 \times 0.2 \times 0.082 \times 300}{2}\)

= 0.246 atm

⇒ Kp = PNH3 x PH2S

= (0.246)2 = 0.060516

= 6.05 x 10-2

= 6

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