Given that coal used by electric power plants has a heating value of 27.5 million btus metric ton (25 million btus per ton), determine the number of kilograms (and pounds) of coal needed to produce 1 million btus of heat.

Respuesta :

Answer:

• 36.4 kg of coal.

• 80 pounds of coal.

Explanation:

Using proportionality constant,

Mass of coal = 1,000,000/27,500,000 btus/metric ton

= 0.0364 metric tons of coal

Mass of coal = 1,000,000/25,000,000 btus/ton

= 0.04 tons of coal.

Converting metric tons to kilogram,

1 metric ton = 1000kg,

0.0364 metric ton;

= 36.4 kg of coal.

Converting tons to pounds,

1 ton = 2000 pounds,

0.04 metric ton;

= 80 pounds of coal.

The amount of coal required will be 36.4 kg

Calculating the amount of coal required:

According to the question,

Mass of coal required to produce 1 million BTUs metric tons of heat is

= 1,000,000/27,500,000 BTUs/metric ton

M = 0.0364 metric tons of coal

Now, one metric ton equals 1000 kg.

So we need to convert the above quantity from tons to kilograms

Converting metric tons to kilogram,

1 metric ton = 1000kg,

Therefore,

0.0364 metric ton =  36.4 kg of coal.

So, the amount of coal required to produce 1 million BTUs of heat will be 36.4 kg.

Learn more about converting units:

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