Question

A 0.875-g sample of anthracite coal was burned in a bomb calorimeter. The temperature rose from 22.50 to 23.80°C. The heat capacity of the calorimeter was found in another experiment to be 20.5 kJ/°C.
a. What was the heat evolved by the reaction?
b. What is the energy released on burning 1 metric ton (exactly 1000 kg) of this type of coal?

Answer 1

Answer:

a) 26.65 kJ was the heat evolved by the reaction.

b) $3.046\times 10^7 kJ$ is the energy released on burning 1 metric ton  of this type of coal

Explanation:

Heat capacity of the calorimeter = C = 20.5 kJ/°C

Initial temperature of the calorimeter,$T_1$ = 22.50°C

Final temperature of the calorimeter,$T_2$ = 23.80°C

The heat evolved by the reaction = Q

$Q=C(T_2-T_1)$

$Q=20.5 kJ/^oC\times (23.80^oC-22.50^oC)$

$Q=26.65 kJ$

26.65 kJ was the heat evolved by the reaction.

0.875 g sample of anthracite coal was burned in a bomb calorimeter

0.875 g sample of anthracite coal gives 26.65 kJ of heat.

1 metric ton= 1000 kg

1000 kg = 1000 × 1000 g = 1,000,000 (1 kg =1000 g)

Then burning 1,000,000 g coal will give:

$=\frac{26.65 kJ }{0.875}\times 1,000,000 g=3.046\times 10^7 kJ$

$3.046\times 10^7 kJ$ is the energy released on burning 1 metric ton  of this type of coal