Complex $A$ has a composition of ${\mathrm{H}}_{12}{\mathrm{O}}_6{\mathrm{C}\mathrm{l}}_3\mathrm{C}\mathrm{r}$ . If the complex on treatment with conc.   ${\mathrm{H}}_2{\mathrm{S}\mathrm{O}}_4$ loses  $13.5\mathrm{\%}$ of its original mass, the correct molecular formula of   $\mathrm{A}$ is:

[Given : atomic mass of $\mathrm{C}\mathrm{r}=52\mathrm{a}\mathrm{m}\mathrm{u}$ $\mathrm{A}$ and   $\mathrm{C}\mathrm{l}=35\mathrm{a}\mathrm{m}\mathrm{u}$ ]

<p>Conc. <span contenteditable="false"> <math> <msub> <mrow> <mrow> <mi mathvariant="normal">H</mi> </mrow> </mrow> <mrow> <mrow> <mn>2</mn> </mrow> </mrow> </msub> <msub> <mrow> <mrow> <mi mathvariant="normal">S</mi> <mi mathvariant="normal">O</mi> </mrow> </mrow> <mrow> <mrow> <mn>4</mn> </mrow> </mrow> </msub> </math> </span>&nbsp;acts as dehydrating agent.</p><p>Molar mass of given complex <span contenteditable="false"> <math> <mo>=</mo> <mn>266.5</mn> <mtext> </mtext> <mi mathvariant="normal">g</mi> <mo>/</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">l</mi> </math> </span>.</p><p>On treating with conc. <span contenteditable="false"> <math> <msub> <mrow> <mrow> <mi mathvariant="normal">H</mi> </mrow> </mrow> <mrow> <mrow> <mn>2</mn> </mrow> </mrow> </msub> <msub> <mrow> <mrow> <mi mathvariant="normal">S</mi> <mi mathvariant="normal">O</mi> </mrow> </mrow> <mrow> <mrow> <mn>4</mn> </mrow> </mrow> </msub> </math> </span>&nbsp;the mass</p><p>lost by the complex <span contenteditable="false"> <math> <mo>=</mo> <mo>=</mo> <mfrac> <mrow> <mrow> <mn>13.5</mn> </mrow> </mrow> <mrow> <mrow> <mn>100</mn> </mrow> </mrow> </mfrac> <mo> (</mo> <mn>266.5</mn> <mo>)</mo> <mo>≈</mo> <mn>36</mn> <mtext> </mtext> <mi mathvariant="normal">g</mi> <mo>=</mo> <mn>2</mn> </math> </span> moles of <span contenteditable="false"> <math> <msub> <mrow> <mrow> <mi mathvariant="normal">H</mi> </mrow> </mrow> <mrow> <mrow> <mn>2</mn> </mrow> </mrow> </msub> <mi mathvariant="normal">O</mi> </math> </span>&lt;!- [endif]-&gt;&lt;!- [endif]-&gt;</p><p>Formula of the complex <span contenteditable="false"> <math> <mo>=</mo> <mfenced open=" [" close="]" separators="|"> <mrow> <mrow> <mi mathvariant="normal">C</mi> <mi mathvariant="normal">r</mi> <msub> <mrow> <mrow> <mfenced separators="|"> <mrow> <mrow> <msub> <mrow> <mrow> <mi mathvariant="normal">H</mi> </mrow> </mrow> <mrow> <mrow> <mn>2</mn> </mrow> </mrow> </msub> <mi mathvariant="normal">O</mi> </mrow> </mrow> </mfenced> </mrow> </mrow> <mrow> <mrow> <mn>4</mn> </mrow> </mrow> </msub> <msub> <mrow> <mrow> <mi mathvariant="normal">C</mi> <mi mathvariant="normal">l</mi> </mrow> </mrow> <mrow> <mrow> <mn>2</mn> </mrow> </mrow> </msub> </mrow> </mrow> </mfenced> <mi mathvariant="normal">C</mi> <mi mathvariant="normal">l</mi> <mo>.</mo> <mn>2</mn> <msub> <mrow> <mrow> <mi mathvariant="normal">H</mi> </mrow> </mrow> <mrow> <mrow> <mn>2</mn> </mrow> </mrow> </msub> <mi mathvariant="normal">O</mi> </math> </span>&lt;!- [endif]-&gt;&lt;!- [endif]-&gt;</p>

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