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How much heat energy is required to raise the temperature of 5 kilograms of coal from 20°C to 220°C? A. 314 J B. 6,573 J C. 1,314,718 J D. 4,187,000 J

User Alex Lowe
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2 Answers

7 votes
Just took the test and the answer is C. 1,314,718.

User Mohammadreza
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5 votes

Answer:

C. 1,314,718 J

Step-by-step explanation:

The heat energy needed to raise the temperature of the coal is given by:


Q=m C_s \Delta T

where:

m = 5 kg is the mass of the coal


C_s = 1314 J/kg ^(\circ)C is the specific heat of coal


\Delta T= 220^(\circ)C-20^(\circ)C=200^(\circ)C is the increase in temperature

Substituting into the formula, we find


Q=(5 kg)(1314 J/kg ^(\circ)C )(200^(\circ)C)=1,314,000 J

So, the closest option is

C. 1,314,718 J


User ProtossShuttle
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