The heat of combustion of PP is 42.7 MJ kg1. If PP containers are urned in a waste-fired power station that generates electricity with an verall efficiency of 24%, calculate how much useful electrical energy generated when 1,200 tonnes of PP is burned. Give your answer in nits of MJ to 3 significant figures and explain your working

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Answer:

[tex]\boxed{2.23 \times 10^{7}{\text{ MJ}}}[/tex]

Explanation:

42.7 MJ/kg  =42 700 MJ/t

1. Energy from PP

[tex]\text{Energy from PP} = \text{1200 t PP} \times \dfrac{\text{42 700 MJ}}{\text{1 t PP}} = 5.12 \times 10^{7}\text{ MJ}[/tex]

2. Useful energy

[tex]\text{Useful energy} = 5.12 \times 10^{7}\text{ MJ supplied } \times \dfrac{\text{ 24 MJ useful}}{\text{100 MJ supplied}} = 2.23 \times 10^{7}\text{ MJ useful}\\\\\text{The power plant supplies $\boxed{\mathbf{2.23 \times 10^{7}{\text{ MJ}}}}$ of useful energy}[/tex]