You are in an 80-degree room and take a cup of water out of the fridge that is set to 35 degrees. After one minute, your water is 37 degrees. How long will it take for the water to reach 50 degrees?

To determine how long it will take for the water to reach 50 degrees, we need to consider the rate of temperature change. The rate of temperature change can be calculated using the formula:

Rate of temperature change = (heat transferred) / (mass of water * specific heat capacity of water)

Given that the initial temperature of the water is 35 degrees and the final temperature is 50 degrees, the temperature difference is 50 - 35 = 15 degrees.

Let's assume the mass of the water is 100 grams. Using the specific heat capacity of water (4.18 J/g°C), we can calculate the heat transferred:

Heat transferred = (mass of water) * (specific heat capacity of water) * (temperature difference)

Heat transferred = 100 g * 4.18 J/g°C * 15°C = 6270 J

Now, we need to determine the time it takes for the water to reach 50 degrees. The rate of temperature change can be rearranged to solve for time:

Time = (heat transferred) / (rate of temperature change)

Substituting the values:

Time = 6270 J / [(100 g) * (4.18 J/g°C)]

Time = 14.99 seconds (approximately 15 seconds)

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