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| Rate $mol\,L^{-1}\,s^{-1}$ | $[A]$ $mol\,L^{-1}$ | $[B]$ $mol\,L^{-1}$ |
| $0.10$ | $20$ | $0.5$ |
| $0.40$ | $x$ | $0.5$ |
| $0.80$ | $40$ | $y$ |
What is the value of $x$ and $y ?$
Assertion $(A) :$ At $10^{\circ} C$, the density of a $5\, M$ solution of $KCl$ [atomic masses of $K$ and $Cl$ are $39$ and $35.5\, g \,mol ^{-1}$ ]. The solution is cooled to $-21^{\circ} C$. The molality of the solution will remain unchanged.
Reason $(R):$ The molality of a solution does not change with temperature as mass remains unaffected with temperature.
In the light of the above statements, choose the correct answer from the options given below
$2 Fe ^{2+}+ H _{2} O _{2} \rightarrow x A + y B$
(in basic medium)
$2 MnO _{4}^{-}+6 H ^{+}+5 H _{2} O _{2} \rightarrow x ^{\prime} C + y ^{\prime} D + z ^{\prime} E$
(in acidic medium)
The sum of the stoichiometric coefficients $x , y , x ^{\prime}, y ^{\prime}$ and $z ^{\prime}$ for products $A , B , C , D$ and $E ,$ respectively, is............