Final answer:
The amount of heat released can be calculated using the formula Q = mcΔT, where Q is the amount of heat released, m is the mass of the substance, and ΔT is the change in temperature. In this case, the amount of heat released is 805.8 cal, which is equal to 0.8058 kcal or 3370.8 J.
Step-by-step explanation:
To calculate the amount of heat released when a substance is cooled, you can use the formula:
Q = mc∆T
where Q is the amount of heat released, m is the mass of the substance, and ∆T is the change in temperature. To convert the units from calories to kilocalories, divide the amount of heat released by 1000. To convert calories to joules, multiply the amount of heat released by 4.184.
In this case, the mass of water is 55.6 g and the change in temperature is 50 °C - 35.5 °C = 14.5 °C. Plugging these values into the formula, we get:
Q = (55.6 g)(1 cal/g °C)(14.5 °C) = 805.8 cal
To convert calories to kilocalories, divide by 1000:
805.8 cal / 1000 = 0.8058 kcal
To convert calories to joules, multiply by 4.184:
805.8 cal × 4.184 = 3370.8 J