$60 M J$ energy is produced on combustion of $2 k g$ of coal. Find how much energy is produced on burning $0.5 k g$ of coal. Also, find the calorific value of coal.

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Solution

STEP 1: Given data
Mass of coal, $m = 2 k g$
The energy produced by burning coal, $E = 60 M J$
Step 2: Calculate the energy produced by a given mass of coal
It is given that, Energy produced by $2 k g$ of coal $= 60 M J$ then,
The energy produced by $0.5 k g$ of coal $= \frac{60 \times 0.5}{2} = 15 M J$
STEP 3: Calculate the calorific value of coal
Mass of coal, $m = 2 k g$
The energy produced by burning coal, $E = 60 M J$
The calorific value of coal,
$c = \frac{E}{m} c = \frac{60}{2} c = 30 M J k g^{- 1}$
Hence, the energy produced by burning $0.5 k g$ of coal is $15 M J$ and the calorific value of coal is $30 M J k g^{- 1}$ .

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