Jika massa 1 atom C-12 = a gr, Massa atom relatif (Ar​) dari N dan O berturut- turut adalah b sma dan c sma, berapakah massa 10 molekul gas nitrogen dioksida?

Pertanyaan

Jika massa 1 atom C-12 = a gr, Massa atom relatif (begin mathsize 14px style italic A subscript r end style) dari N dan O berturut- turut adalah b sma dan c sma, berapakah massa 10 molekul gas nitrogen dioksida?space

A. Chandra

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

massa begin mathsize 14px style N O subscript bold 2 end style yang benar adalah begin mathsize 14px style fraction numerator bold 19 bold comma bold 92 bold left parenthesis italic b bold plus bold 2 italic c bold right parenthesis over denominator italic a end fraction bold cross times bold 10 to the power of bold minus sign bold 23 end exponent bold space bold gram end style.

Pembahasan

Menentukan begin mathsize 14px style italic A subscript r end style unsur:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell italic A subscript r subscript N end cell equals cell fraction numerator m subscript N over denominator 1 over 12 cross times m subscript C minus sign 12 end subscript end fraction end cell row blank equals cell fraction numerator b over denominator 1 over 12 cross times a end fraction end cell row blank equals cell fraction numerator 12 b over denominator a end fraction end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell italic A subscript r subscript O end cell equals cell fraction numerator m subscript O over denominator 1 over 12 cross times m subscript C minus sign 12 end subscript end fraction end cell row blank equals cell fraction numerator c over denominator 1 over 12 cross times a end fraction end cell row blank equals cell fraction numerator 12 c over denominator a end fraction end cell end table end style 

Menentukan begin mathsize 14px style italic M subscript r space N O subscript 2 end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell italic M subscript r subscript N O subscript 2 end subscript end subscript end cell equals cell left parenthesis 1 cross times Ar space N right parenthesis plus left parenthesis 2 cross times Ar space O right parenthesis end cell row blank equals cell left parenthesis 1 cross times fraction numerator 12 b over denominator a end fraction right parenthesis plus left parenthesis 2 cross times fraction numerator 12 c over denominator a end fraction right parenthesis end cell row blank equals cell fraction numerator 12 b over denominator a end fraction plus fraction numerator 24 c over denominator a end fraction end cell row blank equals cell fraction numerator 12 left parenthesis b and 2 c right parenthesis over denominator a end fraction end cell end table end style 

Menentukan massa begin mathsize 14px style N O subscript 2 end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row n equals cell fraction numerator jumlah space molekul over denominator 6 comma 02 cross times 10 to the power of 23 end fraction end cell row blank equals cell fraction numerator 10 over denominator 6 comma 02 cross times 10 to the power of 23 end fraction end cell row blank equals cell 1 comma 66 cross times 10 to the power of negative sign 23 end exponent end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell m subscript N O subscript 2 end subscript end cell equals cell n cross times Mr end cell row blank equals cell 1 comma 66 cross times 10 to the power of negative sign 23 end exponent cross times fraction numerator 12 left parenthesis b and 2 c right parenthesis over denominator a end fraction end cell row blank equals cell fraction numerator 19 comma 92 left parenthesis b and 2 c right parenthesis over denominator a end fraction cross times 10 to the power of negative sign 23 end exponent space gram end cell end table end style 

Jadi, massa begin mathsize 14px style N O subscript bold 2 end style yang benar adalah begin mathsize 14px style fraction numerator bold 19 bold comma bold 92 bold left parenthesis italic b bold plus bold 2 italic c bold right parenthesis over denominator italic a end fraction bold cross times bold 10 to the power of bold minus sign bold 23 end exponent bold space bold gram end style.

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