Use the specific heat capacity that you calculated for granite to determine how many grams of granite at the initial temperature of 80 °C must mix with 3,000 g of water at the initial temperature of 20 °C to result in a final system temperature of 20.45 °X. (Hunt: Start by calculating how much heat energy is needed to change the water's temperature by 0.45 °C). Show your work. Use the Gizmo to check your answer.

Question

Chemistry

Litzy Webb

29 January, 05:00

Use the specific heat capacity that you calculated for granite to determine how many grams of granite at the initial temperature of 80 °C must mix with 3,000 g of water at the initial temperature of 20 °C to result in a final system temperature of 20.45 °X. (Hunt: Start by calculating how much heat energy is needed to change the water's temperature by 0.45 °C). Show your work. Use the Gizmo to check your answer.

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Answers (1)

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Madison Sheppard · Answer 1

specific heat of granite s =.79 J / g / k

let the mass of granite = m

heat lost by granite = heat gained by water

heat lost = mass x specific heat x drop in temperature

= m x. 79 x (80 - 20.45)

heat gained by water

= 3000 x 4.186 x (20.45 - 20)

heat lost by granite = heat gained by water

m x. 79 x 59.55 = 3000 x 4.186 x. 45

m = 120.12 g.