Chemistry, 25.09.2019 02:20 audrey435

Calculate the amount of co2 (in kg) released when 1 kg coal is burnt. assume that carbon content of the coal is 50% by mass. 4. calculate the co2 production in kg/mj if a coal fired power plant (efficiency - 30%) is used to produce electricity. assume energy density of coal - 24 mj/kg and assume the coal is

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Answer from: itsmaddierae11

Explanation:

(a) Here, the assumption is that complete combustion of carbon is taking place. This means that there is no CO formation

Reaction equation when carbon is burning is as follows.

$C + O_{2} \rightarrow CO_{2}$

Molar mass of C = 12 kg/kmol

Molar mass of $CO_{2}$ = 44 kg/kmol

Hence, according to the stoichiometry,

1 Kmol of C reacted = 1 kmol of $CO_{2}$ produced

Therefore, 12 kg of C reacted = 44 kg $CO_{2}$ produced

It is given that coal contains 50 mass % Carbon

So, 1 kg of coal contains (0.50 × 1)kg Carbon

Carbon in 1 kg Coal = 1 × 0.5 = 0.5 kg

As per the stoichiometry,

12 kg of C reacted = 44 kg $CO_{2}$ produced

0.5 kg of C reacted = x kg $CO_{2}$ produced

Therefore, value of x can be calculated as follows.

x = $\frac{\text{44 kg of CO_{2} produced} \times \text{0.5 kg of C reacted}}{\text{12 kg of C reacted}}$

= 1.83 kg

This means that amount of $CO_{2}$ released is 1.83 kg.

(b) It is assumed that coal contains 50 mass % carbon and 1 kg of coal burnt.

Since, it is given that energy density of coal is 24 Mj and efficiency of the power plant is 30%.

After burning 1 kg of coal amount of energy released = 24 Mj

Amount of energy converted to electricity = $24 Mj \times 0.3$ = 7.2 Mj

It is calculated that amount of $CO_{2}$ released per 1 kg of coal = 1.83 kg

Therefore, calculate the amount of $CO_{2}$ released in kg/Mj as follows.

amount of $CO_{2}$ released in kg/Mj = $\frac{\text{Amount of CO_{2} released in kg}}{\text{amount of energy converted to electricity}}$

= $\frac{1.83 kg}{7.2 mJ}$

= 0.2541 kg/Mj

Hence, the production of $CO_{2}$ in kg/MJ is 0.2541 kg/Mj.

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