Setarakan persamaan reaksi dengan cara matematika HI+HNO2​→H2​O+NO+I2​

<p>HI &nbsp;+ &nbsp;<i>a</i>HNO₂ &nbsp; --&gt; &nbsp;&nbsp;<i>b</i>H₂O &nbsp;+ &nbsp;<i>c</i>NO &nbsp;+ &nbsp;<i>d</i>I₂</p><p>H &nbsp;: 1 + <i>a</i> &nbsp; --&gt; &nbsp; 2<i>b</i> ......................(1)</p><p>I &nbsp;: &nbsp;1 = 2<i>d</i> &nbsp;.................................(2)</p><p>N &nbsp;: &nbsp;<i>a</i> = <i>c</i>...................................(3)</p><p>O &nbsp;: &nbsp;2<i>a</i> &nbsp;= &nbsp;<i>b</i> + <i>c</i> &nbsp;........................(4)</p><p>&nbsp;</p><p>(2) : d = 1/2 ..............................(5)</p><p>(3) dan (4) &nbsp;: &nbsp;<i>a</i> = <i>c</i> ; 2<i>a</i> = <i>b</i> + <i>c</i></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;2<i>c</i> = <i>b</i> + <i>c</i></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<i>b</i> = <i>c</i> .........(6)</p><p><i>a</i> = <i>b</i> = <i>c</i> ...................................(7)</p><p>(1) dan (7) &nbsp;: &nbsp;1 + <i>a</i> = 2<i>b</i></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;1 + <i>a</i> = 2<i>a</i></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<i>a</i> = 1</p><p>masing-masing koefisien dikali 2</p><p><strong>2</strong>HI &nbsp;+ &nbsp;<strong>2</strong>HNO₂ &nbsp; --&gt; &nbsp;&nbsp;<strong>2</strong>H₂O &nbsp;+ &nbsp;<strong>2</strong>NO &nbsp;+ &nbsp;I₂</p><p>&nbsp;</p>