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Calculate the specific heat of a metallic element if 50.0 g of the metal need 314 joules of heat energy to raise

the temperature from 25°C to 50°C.

1 Answer

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Answer:

c = 0.25 j/g.°C

Step-by-step explanation:

Specific heat capacity:

It is the amount of heat required to raise the temperature of one gram of substance by one degree.

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

Given data:

Mass of metal = 50.0 g

Heat needed = 314 j

Initial temperature = 25°C

Final temperature = 50 °C

Specific heat = ?

Solution:

ΔT = 50 °C - 25°C = 25°C

Q = m.c. ΔT

c = Q / m. ΔT

c = 314 j / 50.0 g . 25°C

c = 314 j / 1250 g. °C

c = 0.25 j/g.°C

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