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Tabung elpiji berisi gas metana  (gas lain di abaikan). Tekanan dalam tabung 18 bar (1 bar = ... atm), massa gas 3 kg. Tentukan : a. berapa mol gas metana tersebut. b. berapa volume gas jika berada pada suhu 27 derajat Celsius. c. berapa banyak jumlah molekul metana tersebut?

Pertanyaan

Tabung elpiji berisi gas metana begin mathsize 14px style C H subscript 4 end style (gas lain di abaikan). Tekanan dalam tabung 18 bar (1 bar = ... atm), massa gas 3 kg. Tentukan :

a. berapa mol gas metana tersebut.

b. berapa volume gas jika berada pada suhu 27 derajat Celsius.

c. berapa banyak jumlah molekul metana tersebut?

Pembahasan Soal:

Gas metana begin mathsize 14px style C H subscript 4 end style memilki massa = 3 kg.

a. Jumlah mol gas metana.

  • Hitung massa molar begin mathsize 14px style C H subscript 4 end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell M subscript m C H subscript 4 end cell equals cell M subscript r C H subscript 4 end cell row cell M subscript m C H subscript 4 end cell equals cell 1 cross times A subscript r C plus 4 cross times A subscript r H end cell row cell M subscript m C H subscript 4 end cell equals cell 1 cross times 12 plus 4 cross times 1 end cell row cell M subscript m C H subscript 4 end cell equals cell 12 plus 4 end cell row cell M subscript m C H subscript 4 end cell equals cell 16 space g space mol to the power of negative sign 1 end exponent end cell end table end style 

  • Hitung mol begin mathsize 14px style C H subscript 4 end style (dihitung dengan menggunakan hubungan antara massa zat (m) dan massa molar).

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell italic m italic space C H subscript 4 end cell equals cell n cross times M subscript m end cell row cell italic n space C H subscript 4 end cell equals cell m over M subscript m end cell row cell italic n space C H subscript 4 end cell equals cell fraction numerator 3 space kg cross times 1000 space g forward slash kg over denominator 16 space g space mol to the power of negative sign 1 end exponent end fraction end cell row cell italic n space C H subscript 4 end cell equals cell 187 comma 5 space mol end cell end table end style 

b. Penentuan volume gas begin mathsize 14px style C H subscript 4 end style jika berada pada suhu 27 derajat Celsius.

  • Hitung tekanan gas begin mathsize 14px style C H subscript 4 end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 1 space bar end cell equals cell 0 comma 987 space atm end cell row P equals cell 18 space bar space cross times 0 comma 987 atm space bar to the power of negative sign 1 end exponent end cell row P equals cell 17 comma 77 space atm end cell end table end style 

  • Konversi suhu dalam satuan suhu mutlak (K)

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row T equals cell 27 space degree C plus 273 end cell row T equals cell 300 space K end cell end table end style 

  • Hitung tekanan gas begin mathsize 14px style C H subscript 4 end style dengan menggunakan persamaan gas ideal.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell P cross times V end cell equals cell n cross times R cross times T end cell row V equals cell fraction numerator n cross times R cross times T over denominator P end fraction end cell row V equals cell fraction numerator 187 comma 5 space mol cross times 0 comma 082 space L space atm space mol to the power of negative sign 1 end exponent space K to the power of negative sign 1 end exponent cross times 300 space K over denominator 17 comma 77 space atm end fraction end cell row V equals cell fraction numerator 4612 comma 5 over denominator 17 comma 77 end fraction L end cell row V equals cell 259 comma 57 space L end cell end table end style 

c. Jumlah molekul metana.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Jumlah space Partikel space C H subscript 4 end cell equals cell n cross times L end cell row cell Jumlah space Partikel space C H subscript 4 end cell equals cell 187 comma 5 space mol cross times 6 comma 02 cross times 10 to the power of 23 space molekul space mol to the power of negative sign 1 end exponent end cell row cell Jumlah space Partikel space C H subscript 4 end cell equals cell 1 comma 13 cross times 10 to the power of 26 space molekul end cell end table end style  


Jadi, jumlah mol, volume, dan jumlah molekul gas metana adalah 187,5 mol, 259,57 L, dan begin mathsize 14px style 1 comma 13 cross times 10 to the power of 26 space molekul end style.

 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 14 Maret 2021

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