Answer :
Final answer:
The initial temperature of the soup when it was first brought out is calculated by plugging in m = 0 into the given function, resulting in 130 degrees. This question involves an application of mathematics to the principles of heat absorption and temperature change.
Explanation:
To find the initial temperature of the soup when it was first brought to you, you are instructed to plug in m = 0 into the function F(m): F(0) = 76 + 54e⁰. Here, e represents Euler's number, which is approximately equal to 2.71828. Remember that any number raised to the power of 0 is 1. Therefore, e⁰ is 1, and F(0) becomes simply 76 + 54⋅ 1, or 130 degrees.
In the context of measuring heat absorption, the amount of heat absorbed by water as it is heated can be found using the equation Q = mc∆T, where Q is the heat absorbed, m is the mass of the water, c is the specific heat capacity of water, and ∆T is the change in temperature. For example, if 8.0 x 10² g of water is heated from 21 °C to 85 °C, you would use this equation to calculate Q.
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