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

is 1 cal g-1°C-1.​

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Final answer:

To find the heat released by 30 g of water cooling from 96°C to 25°C, the specific heat capacity formula q = m × c × ΔT is used, resulting in a heat release of 2130 calories.

Step-by-step explanation:

To calculate how much heat is released when 30 g of water at 96°C cools to 25°C, we can use the specific heat equation. The specific heat of water is given as 1 cal g-1°C-1.

The equation for calculating the heat (q) released or absorbed during a temperature change is:

q = m × c × ΔT

where:

  • m = mass of the water (30 g)
  • c = specific heat capacity of water (1 cal g-1°C-1)
  • ΔT = change in temperature (96°C - 25°C = 71°C)

Substituting the values into the equation:

q = 30 g × 1 cal g-1°C-1 × 71°C

q = 30 × 71

q = 2130 calories

Therefore, 2130 calories of heat are released when 30 g of water cools from 96°C to 25°C.

User Mehdi Faraji
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