A portable electric water heater transfers 255 watts (W)of power to 5.5L of wate

Question

A portable electric water heater transfers 255 watts (W)of power to 5.5L of water, where 1W=1J/s
How much time (in minutes) will it take for the water heaterto heat 5.5 L of water from 27 degrees Celcius to 44 degreesCelcius? (Assume that water has a density of 1.0g/mL) A portable electric water heater transfers 255 watts (W)of power to 5.5L of water, where 1W=1J/s
How much time (in minutes) will it take for the water heaterto heat 5.5 L of water from 27 degrees Celcius to 44 degreesCelcius? (Assume that water has a density of 1.0g/mL)

Explanation / Answer

First lets start with Q=mcT where T= 17K , m = 5.5L(1000g/L)=5500g,c=4.1855 J/gK remember Q is usually measured in Joules Therefore we can let Q=255J/s then its a matter of plugging andjugging 255 J/S = (5500g)(17K)(4.185 J/gK) all the units wipe each otherout and your left with inverse seconds you should come out ananswer in the neighborhood of 25.5 minutes. Hope thishelped

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