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What is the specific heat of a substance that requires 5.00 kJ of heat to raise the temperature of 3.00 kg by 5.00 °F?

Answer :

The specific heat of the substance is approximately -111.11 J/°C. The specific heat of a substance is the amount of heat energy required to raise the temperature of a given amount of that substance by a specific amount.

In this case, we are given that 5.00 kJ (kilojoules) of heat is needed to raise the temperature of 3.00 kg (kilograms) of the substance by 5.00 °F (degrees Fahrenheit).


To find the specific heat, we can use the formula:

specific heat = (heat energy) / (mass × change in temperature)

In this case, the heat energy is 5.00 kJ, the mass is 3.00 kg, and the change in temperature is 5.00 °F.

Let's convert 5.00 kJ to joules (J), as the units need to be consistent. 1 kJ is equal to 1000 J, so:

5.00 kJ = 5.00 × 1000 J = 5000 J


Now, let's convert 5.00 °F to °C (degrees Celsius) since the specific heat formula uses Celsius. The conversion formula from Fahrenheit to Celsius is:

°C = (°F - 32) / 1.8

So, for 5.00 °F:

°C = (5.00 - 32) / 1.8 ≈ -15.00 °C


Now, we can substitute the values into the specific heat formula:

specific heat = (5000 J) / (3.00 kg × -15.00 °C)

Note: The change in temperature is negative because we are dealing with a decrease in temperature from °F to °C.


Calculating:

specific heat ≈ (5000 J) / (-45.00 °C) ≈ -111.11 J/°C


Therefore, the specific heat of the substance is approximately -111.11 J/°C.

To know more about temperature refer here:

https://brainly.com/question/7510619#

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