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A weakly alkaline solution of permanganate is electrolysed for 50 minutes using 2A current. The amount of oxide of manganese obtained. (Given : Atomic mass Mn = 55 amu and O = 16 amu)
A weakly alkaline solution of permanganate is electrolysed for 50 minutes using 2A current. The amount of oxide of manganese obtained. (Given : Atomic mass Mn = 55 amu and O = 16 amu)
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1 Answer
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Charge (q)
Mass of deposited
<p>Charge (q) <span contenteditable="false"> <math> <mo>=</mo> <mi>i</mi> <mi>t</mi> <mo>=</mo> <mn>2</mn> <mo>×</mo> <mn>50</mn> <mo>×</mo> <mn>60</mn> <mo>=</mo> <mn>6000</mn> <mi mathvariant="normal">C</mi> </math> </span><!-- [if gte msEquation 12]><m:oMath><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r><m:r><i style='mso-bidi-font-style:normal'>it</i></m:r><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=2×50×60=6000C</m:r></span></m:oMath><![endif]--><!-- [if !msEquation]--> <!--[endif]--></p><p><span contenteditable="false"> <math> <mo>⇒</mo> <mrow> <mi mathvariant="normal"> </mi> </mrow> <mn>6000</mn> <mi>C</mi> <mo>=</mo> <mfenced separators="|"> <mrow> <mrow> <mfrac> <mrow> <mrow> <mn>6000</mn> </mrow> </mrow> <mrow> <mrow> <mn>96500</mn> </mrow> </mrow> </mfrac> <mi>F</mi> </mrow> </mrow> </mfenced> </math> </span></p><p><span contenteditable="false"> <math> <msubsup> <mrow> <mrow> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">O</mi> </mrow> </mrow> <mrow> <mrow> <mn>4</mn> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> </mrow> </mrow> </msubsup> <mo>+</mo> <mn>3</mn> <msup> <mrow> <mrow> <mi mathvariant="normal">e</mi> </mrow> </mrow> <mrow> <mrow> <mo>(</mo> <mo>-</mo> <mo>)</mo> </mrow> </mrow> </msup> <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> <mover> <mrow> <mrow> <mo>?</mo> </mrow> </mrow> <mrow> <mrow> <mtext> </mtext> <mtext>weakly alkaline medium</mtext> <mtext> </mtext> </mrow> </mrow> </mover> <msub> <mrow> <mrow> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">O</mi> </mrow> </mrow> <mrow> <mrow> <mn>2</mn> </mrow> </mrow> </msub> <mo>+</mo> <mn>4</mn> <msup> <mrow> <mrow> <mi mathvariant="normal">O</mi> <mi mathvariant="normal">H</mi> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> </mrow> </mrow> </msup> </math> </span></p><p><!-- [if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc m:val="left"/></m:oMathParaPr><m:oMath><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>⇒</m:r></span><m:box><m:boxPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math"'><m:ctrlPr></m:ctrlPr></span></m:boxPr><m:e><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr> </m:r></span></m:e></m:box><span style='font-family: "Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>6000</m:r><m:r><i style='mso-bidi-font-style:normal'>C</i></m:r><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>=</m:r></span><m:d><m:dPr><span style='font-family: "Cambria Math",serif;mso-ascii-font-family:"Cambria Math";mso-hansi-font-family: "Cambria Math"'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:f><m:fPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math"'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>6000</m:r></span></m:num><m:den><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>96500</m:r></span></m:den></m:f><i style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>F</m:r></span></i></m:e></m:d></m:oMath></m:oMathPara><![endif]--><!-- [if !msEquation]--> <!--[endif]--></p><p><!-- [if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc m:val="left"/></m:oMathParaPr><m:oMath><m:sSubSup><m:sSubSupPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math"'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>MnO</m:r></span></m:e><m:sub><span style='font-family: "Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>4</m:r></span></m:sub><m:sup><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>-</m:r></span></m:sup></m:sSubSup><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>+3</m:r></span><m:sSup><m:sSupPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math"'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>e</m:r></span></m:e><m:sup><span style='font-family: "Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>(-)</m:r></span></m:sup></m:sSup><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>+2</m:r></span><m:sSub><m:sSubPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math"'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>H</m:r></span></m:e><m:sub><span style='font-family: "Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>2</m:r></span></m:sub></m:sSub><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>O</m:r></span><m:limUpp><m:limUppPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math"'><m:ctrlPr></m:ctrlPr></span></m:limUppPr><m:e><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>?</m:r></span></m:e><m:lim><span style='font-family: "Calibri",sans-serif;mso-ascii-font-family:Georgia;mso-hansi-font-family: Calibri;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/><m:nor/></m:rPr> </m:r></span>weakly alkaline medium<span style='font-family:"Calibri",sans-serif;mso-ascii-font-family:Georgia; mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;mso-bidi-font-family: "Times New Roman";mso-bidi-theme-font:minor-bidi'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/><m:nor/></m:rPr> </m:r></span></m:lim></m:limUpp><m:sSub><m:sSubPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math"'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>MnO</m:r></span></m:e><m:sub><span style='font-family: "Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>2</m:r></span></m:sub></m:sSub><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>+4</m:r></span><m:sSup><m:sSupPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math"'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><span style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>OH</m:r></span></m:e><m:sup><span style='font-family: "Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>-</m:r></span></m:sup></m:sSup></m:oMath></m:oMathPara><![endif]--><!-- [if !msEquation]--> <!--[endif]--></p><p>Mass of <span contenteditable="false"> <math> <msub> <mrow> <mrow> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">O</mi> </mrow> </mrow> <mrow> <mrow> <mn>2</mn> </mrow> </mrow> </msub> </math> </span> <!-- [if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math"'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><span style='font-size:11.0pt;font-family:"Cambria Math",serif;mso-fareast-font-family: Calibri;mso-fareast-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language: EN-US;mso-bidi-language:AR-SA'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>MnO</m:r></span></m:e><m:sub><span style='font-size: 11.0pt;font-family:"Cambria Math",serif;mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;mso-ansi-language:EN-US;mso-fareast-language: EN-US;mso-bidi-language:AR-SA'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>2</m:r></span></m:sub></m:sSub></m:oMath><![endif]--><!-- [if !msEquation]--> <!--[endif]--> deposited <span contenteditable="false"> <math> <mo>=</mo> <mfrac> <mrow> <mrow> <mn>1</mn> </mrow> </mrow> <mrow> <mrow> <mn>3</mn> </mrow> </mrow> </mfrac> <mo>×</mo> <mfrac> <mrow> <mrow> <mn>6000</mn> </mrow> </mrow> <mrow> <mrow> <mn>96500</mn> </mrow> </mrow> </mfrac> <mo>×</mo> <mn>87</mn> <mo>=</mo> <mn>1.8</mn> </math> </span></p>
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