The formula gives the temperature change r, in degrees Celsius per minute, of tortellini while it is being cooked, given the initial temperatures of the tortellini, Tt, and the water, Tw, in degrees Celsius, and a heat conductivity of the tortellini of k joules per square centimeter per second. Which equation correctly gives the heat conductivity of the tortellini in terms of the temperature change per minute and the initial temperatures of the water and tortellini?Choose 1 answer:(A) k=−181Tt200(r+Tw)(B) k=−181(Tt−Tw)200r(C) k=−181Tt200r+TW
Q. The formula gives the temperature change r, in degrees Celsius per minute, of tortellini while it is being cooked, given the initial temperatures of the tortellini, Tt, and the water, Tw, in degrees Celsius, and a heat conductivity of the tortellini of k joules per square centimeter per second. Which equation correctly gives the heat conductivity of the tortellini in terms of the temperature change per minute and the initial temperatures of the water and tortellini?Choose 1 answer:(A) k=−181Tt200(r+Tw)(B) k=−181(Tt−Tw)200r(C) k=−181Tt200r+TW
Given Formula Manipulation: The given formula is r=200−181k(Tt−Tw). We need to solve for k.
Multiply by 200: First, multiply both sides of the equation by 200 to get rid of the denominator:200r=−181k(Tt−Tw)
Divide by −181(Tt−Tw): Next, divide both sides of the equation by −181(Tt−Tw) to solve for k:k=−181(Tt−Tw)200r
Check Answer Choices: Check the answer choices to see which one matches the derived equation for k. The correct equation is:k=−181(T(t)−T(w))200r
Match with Option (B): Comparing the derived equation with the answer choices, we find that option (B) matches:(B) k=−181(Tt−Tw)200r
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