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Sebanyak 3,6 gram glukosa ( M r ​ = 180 g mol − 1 ) dalam 500 gram air dicampur dengan 1,74 gram K 2 ​ SO 4 ​ ( M r ​ = 174 g mol − 1 ) dalam 1.500 gram air. Tentukan titik didih dan titik beku campuran larutan tersebut! ( K b ​ air = 0 , 5 2 ∘ C m − 1 dan K f ​ air = 1 , 8 6 ∘ C m − 1 )

Sebanyak 3,6 gram glukosa  dalam 500 gram air dicampur dengan 1,74 gram  dalam 1.500 gram air. Tentukan titik didih dan titik beku campuran larutan tersebut!  

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Jawaban terverifikasi

Jawaban

nilai adalah -0,1112

nilai begin mathsize 14px style italic T subscript italic f end style adalah -0,1112

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Diketahui : Ditanya : dan ? Jawab : Glukosa bukan zat elektrolit. merupakan zat elektrolit, sehingga menggunakan faktor van't Hoff Mencari Tb Jadi, nilai adalah 100,031096 Mencari Tf Jadi, nilai adalah -0,1112

Diketahui :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell m space glukosa end cell equals cell 3 comma 6 space g end cell row Mrglukosa equals cell 180 space g forward slash mol end cell row cell m space air and glukosa end cell equals cell 500 space g space end cell row cell m space K subscript 2 S O subscript 4 end cell equals cell 1 comma 74 space g end cell row cell Mr space K subscript 2 S O subscript 4 end cell equals cell 174 space g forward slash mol end cell row cell m space air and K subscript 2 S O subscript 4 end cell equals cell 1500 space g space end cell row cell K subscript b air end cell equals cell 0 comma 52 degree C space m to the power of negative sign 1 end exponent end cell row cell K subscript f air end cell equals cell 1 comma 86 degree C space m to the power of negative sign 1 end exponent end cell end table end style 

Ditanya : begin mathsize 14px style T subscript b end style dan begin mathsize 14px style T subscript f end style?

Jawab :

  • Glukosa bukan zat elektrolit.
  • begin mathsize 14px style K subscript 2 S O subscript 4 end style merupakan zat elektrolit, sehingga menggunakan faktor van't Hoff 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell i space end cell equals cell space open curly brackets 1 plus left parenthesis n minus sign 1 right parenthesis alpha close curly brackets end cell row cell i space end cell equals cell space faktor space van apostrophe t space Hoff end cell row cell n space end cell equals cell space jumlah space partikel end cell row cell alpha space end cell equals cell space derajat space ionisasi space left parenthesis space nilainya space 0 minus sign 1 right parenthesis end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell K subscript 2 S O subscript 4 end cell rightwards arrow cell 2 K to the power of plus sign space plus space S O subscript 4 to the power of 2 minus sign end exponent space end cell row cell n space end cell equals cell space 3 space semicolon space alpha space equals space 1 end cell row cell i space end cell equals cell space open curly brackets 1 plus left parenthesis n minus sign 1 right parenthesis alpha close curly brackets end cell row blank equals cell space open curly brackets 1 plus left parenthesis 3 minus sign 1 right parenthesis 1 close curly brackets end cell row blank equals cell space 3 end cell end table end style   

  • Mencari Tb

  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell increment Tb space end cell equals cell space open parentheses m over Mr cross times 1000 over p cross times K subscript b close parentheses subscript glukosa space plus space open parentheses m over Mr cross times 1000 over p cross times K subscript b cross times i close parentheses subscript K subscript 2 S O subscript 4 end subscript space end cell row blank equals cell space open parentheses fraction numerator 3 comma 6 over denominator 180 end fraction cross times 1000 over 500 cross times 0 comma 52 close parentheses space plus space open parentheses fraction numerator 1 comma 74 over denominator 174 end fraction cross times 1000 over 1500 cross times 0 comma 52 cross times 3 close parentheses end cell row blank equals cell left parenthesis 0 comma 02 space cross times space 2 space cross times space 0 comma 52 right parenthesis space plus space left parenthesis 0 comma 01 space cross times space 0 comma 66 space cross times space 0 comma 52 space cross times space 3 right parenthesis end cell row blank equals cell space 0 comma 0208 space plus space 0 comma 010296 end cell row blank equals cell space 0 comma 031096 end cell end table end style 

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell increment T subscript b space end cell equals cell space T subscript b space minus sign space T subscript b to the power of 0 end cell row cell 0 comma 031096 space end cell equals cell space T subscript b space minus sign space 100 end cell row cell T subscript b space end cell equals cell space 100 space plus space 0 comma 031096 end cell row cell T subscript b space end cell equals cell space 100 comma 031096 end cell end table end style 

Jadi, nilai begin mathsize 14px style italic T subscript italic b end style adalah 100,031096

  • Mencari Tf

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell increment T subscript f end cell equals cell open parentheses m over Mr cross times 1000 over p cross times K subscript f close parentheses subscript glukosa space end subscript plus space open parentheses m over Mr cross times 1000 over p cross times K subscript f cross times i close parentheses subscript K subscript 2 S O subscript 4 end subscript end cell row blank equals cell space open parentheses fraction numerator 3 comma 6 over denominator 180 end fraction cross times 1000 over 500 cross times 1 comma 86 close parentheses subscript space plus space open parentheses fraction numerator 1 comma 74 over denominator 174 end fraction cross times 1000 over 1500 cross times 1 comma 86 cross times 3 close parentheses end cell row blank equals cell left parenthesis 0 comma 02 space cross times space 2 space cross times space 1 comma 86 right parenthesis space plus space left parenthesis 0 comma 01 space cross times space 0 comma 66 space cross times space 1 comma 86 space cross times space 3 right parenthesis end cell row blank equals cell 0 comma 0744 space plus space 0 comma 0368 end cell row blank equals cell space 0 comma 1112 end cell end table end style 

  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell increment T subscript f end cell equals cell T subscript f to the power of 0 space minus sign space T subscript f end cell row cell 0 comma 1112 space end cell equals cell space 0 space minus sign space T subscript f end cell row cell T subscript f space end cell equals cell space minus sign 0 comma 1112 end cell end table end style 

Jadi, nilai begin mathsize 14px style italic T subscript italic f end style adalah -0,1112

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