(C) For the reaction $NH_{3(g)} \rightleftharpoons \frac{1}{2} N_{2(g)} + \frac{3}{2} H_{2(g)}$,$K_c = 4$.The target reaction is $N_{2(g)} + 3H_{2(g)}

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$\left( \frac{1}{4 \times 800R} \right)^2$

(C) For the reaction $NH_{3(g)} \rightleftharpoons \frac{1}{2} N_{2(g)} + \frac{3}{2} H_{2(g)}$,$K_c = 4$.The target reaction is $N_{2(g)} + 3H_{2(g)} \rightleftharpoons 2NH_{3(g)}$.This is the reverse of the first reaction multiplied by $2$. Therefore,the equilibrium constant for the target reaction is $K_c' = (1/K_c)^2 = (1/4)^2 = 1/16$.Using the relation $K_p = K_c(RT)^{\Delta n}$,where $\Delta n = 2 - (1 + 3) = -2$ and $T = 527 + 273 = 800 \, K$:$K_p = (1/16) \times (R \times 800)^{-2} = (1/4)^2 \times (800R)^{-2} = \left( \frac{1}{4 \times 800R} \right)^2$.

Class 11 Chemistry Data Entry - Chemistry Level 0 of all question bank

At $527 \, ^oC$,the reaction given below has $K_c = 4$:
$NH_{3(g)} \rightleftharpoons \frac{1}{2} N_{2(g)} + \frac{3}{2} H_{2(g)}$
What is the $K_P$ for the following reaction?
$N_{2(g)} + 3H_{2(g)} \rightleftharpoons 2NH_{3(g)}$

A
$16 \times (800 \, R)^2$
B
$\left( \frac{800R}{4} \right)^{-2}$
C
$\left( \frac{1}{4 \times 800R} \right)^2$
D
None of these

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At $527 \, ^oC$,the reaction given below has $K_c = 4$:$NH_{3(g)} \rightleftharpoons \frac{1}{2} N_{2(g)} + \frac{3}{2} H_{2(g)}$What is the $K_P$ for the following reaction?$N_{2(g)} + 3H_{2(g)} \rightleftharpoons 2NH_{3(g)}$

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The work function of a metallic surface is $5.01 \ eV$. The photo-electrons are emitted when light of wavelength $2000 \ \mathring{A}$ falls on it. The potential difference applied to stop the fastest photo-electrons is .............. $volts$ $[h = 4.14 \times 10^{-15} \ eV \cdot s]$

$A$ small sphere oscillates simple harmonically in a watch glass whose radius of curvature is $1.6 \ m$. The period of oscillation of the sphere in seconds is (acceleration due to gravity,$g = 10 \ m/s^2$). (in $pi$)

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At $527 \, ^oC$,the reaction given below has $K_c = 4$:
$NH_{3(g)} \rightleftharpoons \frac{1}{2} N_{2(g)} + \frac{3}{2} H_{2(g)}$
What is the $K_P$ for the following reaction?
$N_{2(g)} + 3H_{2(g)} \rightleftharpoons 2NH_{3(g)}$

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$(1)$ Methanogens $(2)$ Anabaena $(3)$ $N_2$ fixation $(4)$ Thermoacidophiles $(5)$ Eukaryotes $(6)$ Diatoms $(7)$ Gelatinous sheath $(8)$ Heterocyst