Answer to Question #96830 in General Chemistry for Harshan

Question #96830
A portable electric water heater transfers 255 watts (W) of power to 5.5 L of water, where 1 W=1J/s. A portable electric water heater transfers 255 watts (W) of power to 5.5 L of water, where 1 W=1J/s.
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Expert's answer
2019-10-21T07:16:15-0400

"T_1=25\\degree C;T_2=42\\degree C;m=1000\\times 5.5 \\times 10^{-3}=" "5.5 \\ kg"

"C" for water"=4.184 \\times 10^3 J\/Kg"

Energy required to raise this temperature"=" "mC(T_2-T_1)=5.5\\times 4.184 \\times 10^3\\times (42-25)=" "391.204\\times 10^3 J"

Power given"=255 J\/sec"

Time required"=\\frac{Energy}{Power}=\\frac{391.204\\times 10^3}{255}=" "154.133 \\ sec=\\frac{154.133}{60}=2.585 \\ min"


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