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t requires1200 kg of coal to produce the energy needed to make 1.0 kg of aluminum metal. If a single soda can requires approximately 15 g of Al, what mass of coal would be needed to produce a 6-pack of cans?

Respuesta :

Answer:

The mass of coal is 108 kg.

Explanation:

Given that,

Energy of coal = 1200 kg

Mass of aluminum = 1.0 kg

Energy required for single soda can = 15 g of Al

Energy required for 6 pack of cans = [tex]6\times15=90\ g\ of\ Al[/tex]

We need to calculate the mass of coal

Using formula of mass

[tex]\text{mass of coal}=\dfrac{\text{Energy of coal}\times\text{Energy required for 6 pack of cans}}{\text{Mass of aluminum}}[/tex]

Put the value into the formula

[tex]m=\dfrac{1200\times90\times10^{-3}}{1.0}[/tex]

Put the value into the formula

[tex]m=108\ Kg[/tex]

Hence, The mass of coal is 108 kg.

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