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 Homework Statement:

Given voltage and current, estimate how much mass of water can be heated from 20 to 100 degrees celsius by carnot heat pump. No heat losses. I came up with the idea of equation below, temperature is changing, so is efficiency. I sum multiples of heat required to increase tempreture by dT and efficiency at that T but I do not have any idea how to involve energy supplied into calculations.
I used "S" here to indicate integral.
 Relevant Equations:
 Q=(293, 373)S T/T293 *cm dT
m=Q/c(79*ln80)