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How many calories are required to raise the temperature of a 150. g sample of gold from 25 °C to 175 °C? The specific heat of gold is 0.0308 cal/g °C.

Question

How many calories are required to raise the temperature of a 150. g sample of gold from 25 °C to 175 °C? The specific heat of gold is 0.0308 cal/g °C.

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Solution

To calculate the amount of calories needed to raise the temperature of a certain mass of a substance, you can use the formula:

q = mcΔT

where:

  • q is the heat energy (in calories)
  • m is the mass of the substance (in grams)
  • c is the specific heat capacity of the substance (in cal/g°C)
  • ΔT is the change in temperature (in °C)

Given in the problem:

  • m = 150 g
  • c = 0.0308 cal/g°C
  • ΔT = 175°C - 25°C = 150°C

Substitute these values into the formula:

q = (150 g)(0.0308 cal/g°C)(150°C) = 693 cal

So, 693 calories are required to raise the temperature of a 150 g sample of gold from 25 °C to 175 °C.

This problem has been solved

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