Question #224395

How much heat is needed to raise the temperature of a pot containing 1800 grams of water on the stove from 45 degrees Celsius to 100 degrees Celsius? The specific heat capacity of water is 4.18 J/g degrees Celsius.


1
Expert's answer
2021-08-09T07:47:45-0400

Parameters;

m=1800gT1=45°CT2=100°CT=100°C45°C=55°Cc=4.18 J/g°Cm = 1800g\\ T_1= 45°C\\ T_2 = 100°C\\ ∆T = 100°C- 45°C = 55°C\\ c = 4.18\ J/g°C


Using,

Q=mcθQ=1800×4.18×55Q=413820JQ=413.82 kJQ = mc∆\theta\\ Q = 1800× 4.18 × 55\\ Q = 413820J\\ \therefore Q= 413.82\ kJ


This means that 413.82kJ of heat is needed to raise the temperature of a pot containing 1800 grams of water on the stove from 45 degrees Celsius to 100 degrees Celsius.


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