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An unknown metal alloy with a mass of 390 g is taken from boiling water and dropped into an insulated cup that contains 553 g of water at an initial temperature of 18.7°C. The final temperature of the system is 26.8°C. What is the metal's specific heat capacity?

Respuesta :

Answer:

so specific heat capacity of unknown metal is 656.8 J/degree C kg

Explanation:

Here by energy balance we can say that energy given by metal alloy at 100 degree = heat absorbed by water at 18.7 degree C

now we have

[tex]Q_{in} = Q_{out}[/tex]

[tex]390 s (100 - 26.8) = 553 (4186 ) ( 26.8 - 18.7)[/tex]

[tex] 28548 s = 18750349.8[/tex]

now we have

[tex]s = \frac{18750349.8}{28548}[/tex]

[tex]s = 656.8 J/kg ^o C[/tex]

so specific heat capacity of unknown metal is 656.8 J/degree C kg

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