# How much heat energy is required to raise the temp of 5 kilograms of coal from 20 degrees celsius to 220 degrees celsius?

A 314 J

B 6,573 J

C 1,314,718 J

D 4,187,000 J

You asked this question already. See my other posted answer.

## i am trying to understand the math, not just get the answer

## supa chains

dupa mains

B) cool

## To calculate the amount of heat energy required, you can use the formula:

Q = m * c * ΔT

Where:

Q is the heat energy

m is the mass of the substance (in this case, coal)

c is the specific heat capacity of the substance

ΔT is the change in temperature

First, let's determine the value of ΔT:

ΔT = final temperature - initial temperature

ΔT = 220°C - 20°C

ΔT = 200°C

The specific heat capacity of coal is typically around 24 J/(kg·°C).

Now, we can calculate the heat energy (Q):

Q = 5 kg * 24 J/(kg·°C) * 200°C

Q = 24,000 J/°C * 200°C

Q = 4,800,000 J

Therefore, the correct answer is D) 4,187,000 J, as it is the closest value to the calculated heat energy.

## To calculate the amount of heat energy required to raise the temperature of a substance, you can use the formula:

Q = mcΔT

Where:

Q = Heat energy (in Joules)

m = Mass of the substance (in kilograms)

c = Specific heat capacity of the substance (in Joules per kilogram per degree Celsius)

ΔT = Change in temperature (in degrees Celsius)

In this case, the mass of coal is given as 5 kilograms, the initial temperature is 20 degrees Celsius, and the final temperature is 220 degrees Celsius. However, the specific heat capacity of coal is not provided, which means we cannot directly calculate the required heat energy.

To determine the specific heat capacity of coal, you need to consult reliable reference sources, such as textbooks or scientific databases, as it can vary depending on the type of coal. Once you have the specific heat capacity, you can plug the values into the formula and calculate the amount of heat energy.

Without the specific heat capacity information, it is not possible to determine the correct answer from the options provided (A, B, C, and D).