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Calculate the energy needed to increase the temperature of 23.45 kg of marble from 3 °C to 7 °C.The specific heat capacity of marble is 832 J/kg°C.You must include units in your answer.

Question

Calculate the energy needed to increase the temperature of 23.45 kg of marble from 3 °C to 7 °C.The specific heat capacity of marble is 832 J/kg°C.You must include units in your answer.

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Solution

The energy needed to increase the temperature of a substance can be calculated using the formula:

Q = mcΔT

where: Q = heat energy (Joules, J) m = mass (kilograms, kg) c = specific heat capacity (Joules per kilogram per degree Celsius, J/kg°C) ΔT = change in temperature (degrees Celsius, °C)

Given: m = 23.45 kg c = 832 J/kg°C ΔT = 7°C - 3°C = 4°C

Substituting the given values into the formula:

Q = (23.45 kg) * (832 J/kg°C) * (4°C) = 78064 J

Therefore, the energy needed to increase the temperature of 23.45 kg of marble from 3 °C to 7 °C is 78064 Joules.

This problem has been solved

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