Calculating Final Body Temperature After Soda Consumption

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SUMMARY

The discussion focuses on calculating the final body temperature (T_final) of a 70.0 kg individual after consuming a 0.355-liter can of soda at 12.0°C. The specific heat capacity of the human body is given as 3480 J/kg·K. Participants emphasized the importance of using the specific heat of the soda, which is primarily water, and correctly determining the mass of the soda for accurate calculations. The conclusion drawn is that the change in body temperature is likely not significant enough to be detected by a high-quality medical thermometer, which can measure changes as small as 0.1°C.

PREREQUISITES
  • Understanding of specific heat capacity and its application in thermal equilibrium calculations.
  • Knowledge of mass and volume relationships, particularly for liquids.
  • Familiarity with basic thermodynamic principles, including heat transfer.
  • Ability to perform algebraic manipulations to solve for unknown variables.
NEXT STEPS
  • Research the specific heat capacity of common beverages, particularly carbonated drinks.
  • Learn about thermal equilibrium and how it applies to human physiology.
  • Explore the limitations of medical thermometers in measuring small temperature changes.
  • Study the principles of calorimetry and its applications in real-world scenarios.
USEFUL FOR

This discussion is beneficial for students in physics or biology, healthcare professionals interested in physiological responses to temperature changes, and anyone studying thermodynamics in practical contexts.

doggieslover
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Before going in for an annual physical, a 70.0-{\rm kg} person whose body temperature is 37.0{\rm ^{\circ} C} consumes an entire 0.355-{\rm liter} can of a soft drink (which is mostly water) at 12.0{\rm ^{\circ} C}.

Part A
What will be the person's body temperature T_final after equilibrium is attained? Ignore any heating by the person's metabolism. The specific heat capacity of a human body is 3480 {\rm J/kg \cdot K}.

I tried m_1c_1deltaT_1+m_2c_2deltaT_2=0
I got stuck here:
(70kg)(3480J/kgK)(T_f-37) + (70kg)(what is the specific heat for soda?)(Is this just 12C?)

Part B
Is the change in the person's body temperature great enough to be measured by a medical thermometer? (A high-quality medical thermometer can measure temperature changes as small as 0.1{\rm ^{\circ}C} or less.)

yes or no?

I don't really get what they are asking here, I want to say NO, because logically speaking, drinking soda wouldn't lower your body temperature drastically. . . ?
 
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Part A.

I have 2 observations:

1. The problem statement says what material the soda is (mostly) made of, so use the specific heat for that material.

2. The soda is not 70 kg. You'll have to figure out its mass from the information given in the problem statement.
 

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