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0.6 g of a coal sample with 92% C, 5% hydrogen, and 3% ash, caused a rise in the temperature of 2000 g water by 3.2 °C in a bomb calorimeter experiment. Calculate the GCV and NCV of coal, given. Water equivalent = 200 g. Ans:GCV= 11733.3 cal/g NCV= 11469.2 cal/g

Question

0.6 g of a coal sample with 92% C, 5% hydrogen, and 3% ash, caused a rise in the temperature of 2000 g water by 3.2 °C in a bomb calorimeter experiment. Calculate the GCV and NCV of coal, given. Water equivalent = 200 g. Ans:GCV= 11733.3 cal/g NCV= 11469.2 cal/g

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Solution

To calculate the Gross Calorific Value (GCV) and Net Calorific Value (NCV) of the coal, we need to follow these steps:

  1. First, we need to calculate the heat absorbed by the water and the bomb calorimeter. The heat absorbed (Q) can be calculated using the formula Q = m * c * ΔT, where m is the mass of the water, c is the specific heat capacity of water (1 cal/g°C), and ΔT is the change in temperature.

    For the water: Q = 2000 g * 1 cal/g°C * 3.2 °C = 6400 cal For the bomb calorimeter: Q = 200 g * 1 cal/g°C * 3.2 °C = 640 cal

    The total heat absorbed is therefore 6400 cal + 640 cal = 7040 cal.

  2. The GCV of the coal can be calculated by dividing the total heat absorbed by the mass of the coal sample. So, GCV = 7040 cal / 0.6 g = 11733.3 cal/g.

  3. To calculate the NCV, we need to subtract the heat of vaporization of the water formed during combustion from the GCV. The heat of vaporization is 9 cal/g for each gram of hydrogen in the coal.

    The mass of hydrogen in the coal is 0.6 g * 5% = 0.03 g. So, the heat of vaporization is 0.03 g * 9 cal/g = 0.27 cal.

    Therefore, NCV = GCV - heat of vaporization = 11733.3 cal/g - 0.27 cal/g = 11469.2 cal/g.

This problem has been solved

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