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Agatha has 1kg samples of two substance- A and B. Substance A has a higher specific heat capacity than substance B. Both samples cool down by 10C. Which will release more heat - A or B

Sagot :

Answer:

Substance A will release more heat.

Explanation:

Let suppose that both substances experiment an entirely sensible heat process and are incompressible and begin at the same temperature. Physically speaking, specific heat ([tex]c[/tex]), measured in kilojoules per kilogram-degree Celsius, can be described by following expression:  

[tex]c = \frac{Q}{m\cdot (T_{f}-T_{o})}[/tex] (1)

Where:

[tex]Q[/tex] - Released heat, measured in kilojoules.

[tex]m[/tex] - Sample mass, measured in kilograms.

[tex]T_{o}[/tex], [tex]T_{f}[/tex] - Initial and final temperatures of the sample, measured in degrees Celsius.

If we know that [tex]c_{A}> c_{B}[/tex], [tex]m_{A} = m_{B}[/tex], [tex]T_{A,o} = T_{B,o}[/tex] and [tex]T_{A,f} = T_{B,f}[/tex], then we have the following inequation:

[tex]\frac{Q_{A}}{m\cdot (T_{A,f}-T_{A,o})} > \frac{Q_{B}}{m\cdot (T_{B,f}-T_{B,o})}[/tex]

[tex]Q_{A} > Q_{B}[/tex]

Substance A will release more heat.