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

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

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

Step-by-step 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* (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:

`=(26.65 kJ )/(0.875)* 1,000,000 g=3.046* 10^7 kJ`

`3.046* 10^7 kJ` is the energy released on burning 1 metric ton of this type of coal