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Calculate the amount of heat (in J) to raise the temperature of 22.9 g of water from 4.3 o C to 31.9 oC.  (Cs, water = 4.18 J/g-oC)

Question

Calculate the amount of heat (in J) to raise the temperature of 22.9 g of water from 4.3 o C to 31.9 oC.

(Cs, water = 4.18 J/g-oC)

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Solution

To calculate the amount of heat, we can use the formula:

q = m * Cs * ΔT

where:

  • q is the heat energy,
  • m is the mass of the substance,
  • Cs is the specific heat capacity of the substance, and
  • ΔT is the change in temperature.

Given:

  • m = 22.9 g,
  • Cs = 4.18 J/g-oC, and
  • ΔT = 31.9 oC - 4.3 oC = 27.6 oC.

Substituting these values into the formula, we get:

q = 22.9 g * 4.18 J/g-oC * 27.6 oC = 2627.992 J.

So, the amount of heat required to raise the temperature of 22.9 g of water from 4.3 oC to 31.9 oC is approximately 2628 J.

This problem has been solved

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