contestada

If 1.0kg of juice of a specific heat capacity 3.0kj/kg degrees c at a temperature of 10 degrees celsius is poured into a 1.0kg glass bowl that is 15 degrees celsius. determine the final temperature of the juice.

Respuesta :

We have heat lost by water is equal to heat gained by Juice.

Heat exchanged is calculated using the formula,

[tex] \Delta H=ms \Delta T [/tex]

Let [tex] T_f [/tex] be the final temperature then,

[tex] (1)(3)(T_f-10)=(1)(4.187)(15-T_f)\\
3T_f-30=62.805-4.187T_f\\
7.187T_f=92.805\\
T_f=12.913 K [/tex]

The final temperature of the juice is 12.913 K.

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