alleryStart learning →How much heat is needed to raise the temperature of 10.0 kg of water by 1.0 degree Celsius? Use c(water) = 4186 J per kg per degree C.
A4.2 kJ
B8.4 kJ
C42 kJ
D84 kJ
Answer & Solution
Correct answer: C. 42 kJ
1. Apply Q = mcΔT with m = 10.0 kg, c = 4186, and ΔT = 1.0 degree C.
2. Multiply: Q = 10.0 x 4186 x 1.0 = 41,860 J.
3. Convert to kilojoules: 41,860 J is about 42 kJ.
4. 4.2 kJ and 8.4 kJ are ten times too small, and 84 kJ is double the correct value.
5. So 42 kJ is correct.
_Source: OpenStax Physics (CC BY 4.0), Ch 11 "Thermal Energy, Heat, and Work", section 11.2 Heat, Specific Heat, and Heat Transfer_
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