MCQ
Consider the partial decomposition of $A$ is

$2A(g)  \rightleftharpoons  2B(g) + C(g)$
at equilibrium $700\, mL$ gaseous mixture contains $100\, mL$ of gas $C$ at $10\, atm$ and $300\, K$. What is the value of $K_P$ for the reaction

  • A
    $40/7$
  • B
    $1/28$
  • $10/28$
  • D
    $28/10$

Answer

Correct option: C.
$10/28$
c
Initially only $A$ is present ao at eq$^m$ $B$ and $C$ should be present in $2 : 1$

                $2A \to 2B + C$

at eq$^m$   $400$     $200$    $100$

$($ for Ideal gas volume $\%$ $=$ $mole$ $\%$ $)$

$\mathrm{K}_{\mathrm{p}}=\frac{\left(\frac{200}{700} \times 10\right)^{2}\left(\frac{100}{700} \times 10\right)}{\left(\frac{400}{700} \times 10\right)^{2}}=\frac{10}{28}$

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