Graphing with Excel (3.3) (Tin-T). Integrating, you get an equation for the temperature in the tank as a function of time: dT dt (3.4) If the initial temperature Tinit. is 115°F, the cold water temperature is 35°F (1.7°C), and the volume and volumetric flow rate are 3,000 liters and 30 liters per minute, respectively: T= Tin (Tin Tinit.) e - Tinit) ₁. -t. V a. Calculate the expected water temperature at 5-minute intervals for the first 60 minutes after the flow of cold water is established. b. Plot the water temperature in the hot tub as a function of time. c. Calculate how long it should take for the water in the tub to cool to 100°F (37.8°C). d. Explain whether a hot tub is really a well-mixed tank. If it is not, will your equation predict a time that is too short or too long? Explain your reasoning.

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Can you help please , this needs to be solve in excel , can u show the formulas and steps thank you
Graphing with Excel
dT
=
(3.3)
dt (Tin-T).
Integrating, you get an equation for the temperature in the tank as a function
(3.4)
If the initial temperature Tinit. is 115°F, the cold water temperature is 35°F
(1.7°C), and the volume and volumetric flow rate are 3,000 liters and 30 liters per
minute, respectively:
of time:
T= Tin (Tin Tinit.) e
- -
- V
-
V
t.
a. Calculate the expected water temperature at 5-minute intervals for the
first 60 minutes after the flow of cold water is established.
b. Plot the water temperature in the hot tub as a function of time.
c. Calculate how long it should take for the water in the tub to cool to 100°F
(37.8°C).
d. Explain whether a hot tub is really a well-mixed tank. If it is not, will
your equation predict a time that is too short or too long? Explain your
reasoning.
Transcribed Image Text:Graphing with Excel dT = (3.3) dt (Tin-T). Integrating, you get an equation for the temperature in the tank as a function (3.4) If the initial temperature Tinit. is 115°F, the cold water temperature is 35°F (1.7°C), and the volume and volumetric flow rate are 3,000 liters and 30 liters per minute, respectively: of time: T= Tin (Tin Tinit.) e - - - V - V t. a. Calculate the expected water temperature at 5-minute intervals for the first 60 minutes after the flow of cold water is established. b. Plot the water temperature in the hot tub as a function of time. c. Calculate how long it should take for the water in the tub to cool to 100°F (37.8°C). d. Explain whether a hot tub is really a well-mixed tank. If it is not, will your equation predict a time that is too short or too long? Explain your reasoning.
anoyed m
3.2 Tank Temperature During a Wash-Out
One evening, a few friends come over for a soak, and you discover that the water in
the hot tub is at 115°F (46°C)-too hot to use. As your friends turn on the cold water
to cool down the tub, the engineer in you wants to know how long this is going to
take, so you write an energy balance on a well-mixed tank (ignoring heat losses to the
air). You end up with the following differential equation relating the temperature
in the tank, T, to the temperature of the cold water flowing into the tank, Tin, the
volume of the tank, V, and the volumetric flow rate of the cold water, V
Transcribed Image Text:anoyed m 3.2 Tank Temperature During a Wash-Out One evening, a few friends come over for a soak, and you discover that the water in the hot tub is at 115°F (46°C)-too hot to use. As your friends turn on the cold water to cool down the tub, the engineer in you wants to know how long this is going to take, so you write an energy balance on a well-mixed tank (ignoring heat losses to the air). You end up with the following differential equation relating the temperature in the tank, T, to the temperature of the cold water flowing into the tank, Tin, the volume of the tank, V, and the volumetric flow rate of the cold water, V
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