If $$R=\left\{\left(x,y\right):y=2x\right\}$$ is a relation in $$A=\left\{1,2,3,4,6,7,8\right\}$$ then write all the elements of $$R$$

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Single Choice
The percentage of ammonia obtainable, if equilibrium were to be established during the Haber process, is plotted against the operating pressure for two temperatures $$400^{\circ}C$$ and $$500^{\circ}C$$. Which of the following correctly represents the two graph ?
Solution
Haber's process is
$$N_2(g) +3H_2(g) \rightarrow 2NH_3(g) $$.
$$\Delta H = -92.4 KJ.mol^{-1}$$. Hence, it is an exothermic reaction.
So, on increasing the temperature, there is excess heat present in the reaction. This heat can be absorbed in an endothermic reaction, which is the backward reaction of Haber's process. So, increasing the temperature lowers the percentage of ammonia. So, A and C are the possible option.
Also, as pressure increases, the reaction constant decreases. This is because n=2-(1+3) is less than 0. So, the reaction will move in forward reaction to reach equilibrium. This can also be explained by the fact that increasing pressure results in more molecules and hence more moles. So, the reaction will move such so as to reduce the number of moles. That is forward reaction. Hence, more ammonia is formed. Hence A is the correct option.
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