A copper cylinder of the same mass removed from boiling water was put into a calorimeter containing
| June 25, 2021 | education
A copper cylinder of the same mass removed from boiling water was put into a calorimeter containing a certain mass of water at a temperature of 20 degrees Celsius to see if the water would heat up to 30 degrees Celsius.
Given: m1 (water mass) = m2 (cylinder mass); t1 (initial water temperature) = 20 ºС; t2 (initial cylinder temperature) = 100 ºС.
Constants: Cw (heat capacity of water) = 4200 J / (kg * ºС); Cm (heat capacity of copper) = 400 J / (kg * ºС).
The change in water temperature is determined using the equality: Cw * m1 * (t – t1) = Cm * m2 * (t2 – t).
Cw * (t1 – t) = Cm * (t2 – t).
4200 * (t – 20) = 400 * (100 – t).
4200t – 84000 = 40,000 – 400t.
4600t = 124000.
t = 124000/4600 = 26.96 ºС.
Answer: Water will not heat up to 30 ºС.
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