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

Question

asked Aug 12, 2018 67.5k views

2 Answers

ProtossShuttle · Answer 1 · 2018-08-17T12:42:31+0000

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