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NEET 2010
Exam
NEET
Year
2010
Subject
Chemistry
Chapter
Chemical Equilibrium

NEET 2010 · Chemistry · Chemical Equilibrium

The reaction, (2 ~A_ (g) +B_ (g) rightharpoons 3 C_ (g) +D_ (g) )...

The reaction, (2 \mathrm{~A}_{(\mathrm{g})}+\mathrm{B}_{(\mathrm{g})} \leftrightharpoons 3 \mathrm{C}_{(\mathrm{g})}+\mathrm{D}_{(\mathrm{g})}) is begun with the concentrations of AA and BB both at an initial value of 1.00 M When equilibrium is reached, the concentration of DD is measured and found to be 0.25 M. The value for the equilibrium constant for this reaction is given by the expression

Options

  1. A(\left[(0.75)^3(0.25)\right] \div\left[(1.00)^2(1.00)\right])
  2. B(\left[(0.75)^3(0.25)\right] \div\left[(0.50)^2(0.75)\right])
  3. C(\left[(0.75)^3(0.25)\right] \div\left[(0.50)^2(0.25)\right])
  4. D(\left[(0.75)^3(0.25)\right] \div\left[(0.75)^2(0.25)\right])

Correct answer

B. (\left[(0.75)^3(0.25)\right] \div\left[(0.50)^2(0.75)\right])

Step-by-step solution

(2A(g)+B(g)⇌3C(g)+D(g)Initial moles : 1100Moles at eq. : 1−(2×0.25)1−0.253×0.250.25=0.5=0.75=0.75=0.25\begin{array}{lcccc} & 2 A_{(g)} & + & B_{(g)} & \rightleftharpoons & 3 C_{(g)} & + & D_{(g)} \\ \text{Initial moles : } & 1 & & 1 & & 0 & & 0 \\ \text{Moles at eq. : } & 1-(2 \times 0.25) & & 1-0.25 & & 3 \times 0.25 & & 0.25 \\ & =0.5 & & =0.75 & & =0.75 & & =0.25 \end{array}) Equilibrium constant, (K=\frac{[C]^3[D]}{[A]^2[B]}) (\therefore \quad K=\frac{(0.75)^3(0.25)}{(0.5)^2(0.75)})
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