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How much heat is released when 30g of water at 96°C cools to 25°C? The specific heat of water is 4.18 J/g·°C.

User Dragon
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Final answer:

The amount of heat released when 30g of water cools from 96°C to 25°C is 8922 joules, as calculated using the specific heat capacity formula.

Step-by-step explanation:

To determine how much heat is released when 30g of water at 96°C cools to 25°C, we use the specific heat capacity formula:

Q = mcΔT

where Q is the heat energy, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.

Given that:

  • m = 30g
  • c = 4.18 J/g°C (specific heat of water)
  • ΔT = (25°C - 96°C) = -71°C

Plugging the values into the equation:

Q = 30g * 4.18 J/g°C * (-71°C)

Q = -8922 J

Since the value of Q is negative, this indicates that 8922 joules of heat were released as the water cooled.

User Alexander Ney
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