Question

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?

Answer 1

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

Step-by-step 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

`Q_(in) = Q_(out)`

`390 s (100 - 26.8) = 553 (4186 ) ( 26.8 - 18.7)`

`28548 s = 18750349.8`

now we have

`s = (18750349.8)/(28548)`

`s = 656.8 J/kg ^o C`

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