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What is the final temperature when 625 grams of water at 75.0°C loses [tex]$7.96 \times 10^4 \, \text{J}$[/tex]?

Answer :

Final answer:

The final temperature of the water, after losing 7.96 x 10⁴ J, is 44.7°C. This is calculated by using the formula for heat loss q = mcΔT and finding the change in temperature, which is then subtracted from the initial temperature.

Explanation:

To find the final temperature of the water, we need to first understand that the heat loss of water is determined by the formula: q = mcΔT, where 'q' is the heat energy in Joules, 'm' is the mass in grams, 'c' is the specific heat capacity of the substance (for water, it's 4.18 J/g°C), and 'ΔT' is the change in temperature. In this case, we know that q = -7.96 x 10⁴ J (the heat lost, hence the negative sign), m = 625 g, and c = 4.18 J/g°C.

We can rearrange the formula to solve for 'ΔT': ΔT = q / (mc). When we plug in the values we get ΔT = -7.96 x 10⁴ J / (625 g * 4.18 J/g°C) = -30.3°C.

To find the final temperature, we subtract this value from the initial temperature: 75.0°C - 30.3°C = 44.7°C. So, the final temperature of the water is 44.7°C.

Learn more about Heat Loss Calculation here:

https://brainly.com/question/33903861

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