Determine the final temperature of a mixture of 50 grams of water at 10 C added to 120 grams of water at 80 C. Show all work. Use the simulator to check your answer. (Hint: This is a weighted average.)

Respuesta :

Answer: 59.41

Explanation:

The final temperature of the system has been 130[tex]\rm ^\circ C[/tex].

Specific heat can be defined as the amount of heat required to raise the temperature of 1 g of substance by 1-degree celsius.

The amount of heat lost and the heat gained have been equal.

Heat = mass × specific heat × change in temperature

Thus,

mc[tex]\Delta[/tex]T = mc[tex]\Delta[/tex]T

50 g × (10 - x) = 120 × (x - 80)

500 - 50x = 120x - 9600

70x = 9100

x = 130

Thus, the final temperature of the system has been 130[tex]\rm ^\circ C[/tex].

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