What Percentage of Heat Released by Rock was Absorbed by Water?

How do I determine the percentage of heat absorbed by the water?

Determining Heat Released by the Rock:

First, we shall determine the heat released by the rock using the provided data:
  • Mass of rock (M) = 40 g
  • Initial temperature of rock (T₁) = 100 °C
  • Final temperature of rock (T₂) = 40 °C
  • Change in temperature of rock (ΔT) = 40 - 100 = -60 °C
  • Specific heat capacity of rock (C) = 0.84 J/gºC
Heat released by rock (Q) =?

Q = MCΔT

Q = 40 × 0.84 × -60

Q = -2016 J

Determining Heat Absorbed by the Water:

Next, we shall determine the heat absorbed by the water using the data provided:
  • Volume of water (V) = 45 mL
  • Mass of water (M) = 45 g
  • Initial temperature of water (T₁) = 30 °C
  • Final temperature of water (T₂) = 40 °C
  • Change in temperature of water (ΔT) = 40 - 30 = 10 °C
  • Specific heat capacity of water (C) = 4.186 J/gºC
Heat absorbed by water (Q) =?

Q = MCΔT

Q = 45 × 4.186 × 10

Q = 1883.7 J

Calculating Percentage of Heat Absorbed by Water:

Finally, let's determine the percentage of heat absorbed by the water using the calculated values:
  • Heat released by rock = 2016 J
  • Heat absorbed by water = 1883.7 J
Percentage of heat absorbed =?

Percentage of heat absorbed = (Heat absorbed by water / Heat released) × 100

Percentage of heat absorbed = (1883.7 / 2016) × 100

Percentage of heat absorbed = 93.4%

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