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A 100 g piece of aluminum is heated to 90°C. It is then dropped into water to bring its temperature down to 20°C. The heat transferred to water is 6300 J. What is the specific heat capacity of aluminum?

1 Answer

6 votes

Answer:

c = 0.9 j/g. °C

Step-by-step explanation:

Given data:

Mass of aluminium = 100 g

Initial temperature = 90 °C

Final temperature = 20°C

Heat transfer = 6300 J

Specific heat of aluminium = ?

Solution:

Formula:

Q = m.c. ΔT

Q = amount of heat absorbed or released

m = mass of given substance

c = specific heat capacity of substance

ΔT = change in temperature

The Q will negative because metal release the heat.

c = Q / m. ΔT

ΔT = t2 - t1

ΔT = 20°C - 90 °C

ΔT = -70 °C

c = -6300 j/ 100 g.-70°C

c = -6300 j/ -7000 g.°C

c = 0.9 j/g. °C

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