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Determine the mass of a sample of water in a coffee cup calorimeter if the final temperature is 65.7 °C, the initial temperature is 22.3 °C, and 27.6 kJ of heat is added to the water (specific heat of water is 4.184 J/g•K).

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Final answer:

The mass of the water sample is approximately 277.2 grams.

Step-by-step explanation:

To determine the mass of the water sample, we can use the formula q = m * c * ΔT, where q is the heat added to the water, m is the mass of the water, c is the specific heat of water, and ΔT is the change in temperature. Rearranging the formula, we have m = q / (c * ΔT). Plugging in the given values, we get m = 27.6 kJ / (4.184 J/g•K * (65.7 °C - 22.3 °C)). Solving this equation, we find that the mass of the water sample is approximately 277.2 grams.

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