Roboguru

A 200 grams of aluminum has 20°C as the temperature. The aluminium is placed in 100 grams of water at 80°C. Calculate the final temperature of the mixture if the spesific heat of aluminum is 900 J/ kg

A 200 grams of aluminum has 20°C as the temperature. The aluminium is placed in 100 grams of water at 80°C. Calculate the final temperature of the mixture if the spesific heat of aluminum is 900 J/ kg°C and the spesific heat of water is 4.200 J/kg°C!

Jawaban:

Diketahui :

begin mathsize 14px style italic m subscript italic a italic l end subscript equals 200 space g equals 0 comma 2 space kg italic T subscript italic a italic l end subscript equals 20 degree C italic m subscript italic a italic i italic r end subscript equals 100 space g equals 0 comma 1 space kg italic T subscript italic a italic i italic r end subscript equals 80 degree C italic c subscript italic a italic l end subscript equals 900 space begin inline style bevelled fraction numerator J over denominator kg degree C end fraction end style italic c subscript italic a italic i italic r end subscript equals 4200 space begin inline style bevelled fraction numerator J over denominator kg degree C end fraction end style end style 

 

Pembahasan :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell italic Q subscript italic l italic e italic p italic a italic s end subscript end cell equals cell italic Q subscript italic t italic e italic r italic i italic m italic a end subscript end cell row cell italic m italic c increment italic T end cell equals cell italic m italic c increment italic T end cell row cell italic m subscript italic a italic i italic r end subscript italic c subscript italic a italic i italic r end subscript left parenthesis italic T subscript italic a italic i italic r end subscript minus sign italic T right parenthesis end cell equals cell italic m subscript italic a italic l end subscript italic c subscript italic a italic l end subscript left parenthesis italic T minus sign italic T subscript italic a italic l end subscript right parenthesis end cell row cell left parenthesis 0 comma 1 right parenthesis left parenthesis 4200 right parenthesis left parenthesis 80 minus sign italic T right parenthesis end cell equals cell left parenthesis 0 comma 2 right parenthesis left parenthesis 900 right parenthesis left parenthesis italic T minus sign 20 right parenthesis end cell row cell 3360 minus sign 42 italic T end cell equals cell 18 italic T minus sign 360 end cell row 3720 equals cell 60 italic T end cell row italic T equals cell 62 degree C end cell end table end style 

Jadi, suhu campuran sebesar begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 62 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank C end table end style 

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