Question
Oxidation number of $P$ in $M{g_2}{P_2}{O_7}$ is
$4 + 2x - 2 \times 7 = 0$;$2x = 14 - 4 = 10$
$2x = 10$; $x = \frac{{10}}{2} = + \,5$.
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$S + HNO_3 \rightarrow H_2SO_4 + 6NO_2 + 2H_2O$
$\left[\right.$ Use $: \mathrm{H}^{+}(\mathrm{aq})+\mathrm{OH}^{-}(\mathrm{aq}) \rightarrow \mathrm{H}_{2} \mathrm{O}: \Delta_{\mathrm{\gamma}} \mathrm{H}=-57.1\, \mathrm{k} \mathrm{J} \,\mathrm{mol}^{-1}$
Specific heat of $\mathrm{H}_{2} \mathrm{O}=4.18 \mathrm{Jk}^{-} \mathrm{g}^{-}$
density of $\mathrm{H}_{2} \mathrm{O}=1.0\, \mathrm{~g} \mathrm{~cm}^{-3}$
Assume no change in volume of solution on mixing.]
