A 135 g sample of a metal requires 2.50 kJ to change its temperature from 19.5°C to 95.5°C to 100.0°C?

0.23J/g°C

Explanation:

Given parameters:

Mass of sample  = 135g

Amount of heat  = 2.5kJ

Initial temperature  = 19.5°c

Final temperature  = 100°C

Unknown:

Specific heat capacity of the metal  = ?

Solution:

The specific heat capacity of a substance is the amount of heat required to the raise the temperature of 1g of the substance by 1°C.

   H  = m C (T₂ - T₁ )

H is the amount of heat

m is the mass

C is the specific heat capacity

T₂ is the final temperature

T₁ is the initial temperature;

     2.5 x 10³  = 135 x C x (100 - 19.5)

     2500 = 10867.5C

       C =   = 0.23J/g°C

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