The subject is a 1 year old baby. During a heatstroke, at what body temperature

Question

The subject is a 1 year old baby.

During a heatstroke, at what body temperature is your subject in danger of dying? At what temperature does death occur? Justify your answers and provide your references. Below are some references that can be useful: Use the differential equation for Newton's Law of Cooling to create a model for the change in temperature of the subject as function of the temperature of the surrounding environment. Determine, state, and justify your value for the transmission coefficient k, also known as the heat transfer coefficient. State any and all variables and parameters that you use and state their units. Solve your model analytically and, on the same graph, plot different solutions for different surrounding temperatures. You may complete the plots in MATLAB or do them by hand. Either way, these will need to be included in your submission. Next, answer the following items: What is the "danger-area" for your subject? In other words, determine the intervals in time and temperature for which the subject is at risk of dying. Determine reasonable endpoints that make physical sense; an infinite temperature is as deadly as it is unattainable. Does your model overestimate or underestimate the dangers of leaving somebody locked inside a car in extreme temperature? Why or why not? Fix a value for the temperature of the surrounding environment. Next, write a MATLAB code that implements Euler's method (see Chapter 8.1 notes or the text) to approximate different values of the solution for your model. Use this code to fill at least 8 rows (beginning with t = 0) of the table below, where t represents time, h is the step size, the absolute error is the positive difference between the true and measured values, and the relative error is the percent difference between the true and measured values

Explanation / Answer

1. If the body temperature of one year old baby reaches 40°C (104°F) then it goes under severe heat illness called Hyperthermia.

Symptoms:

Breathing and Heart beat fast

Loss of conciousness

Seizures

Upto increase in 5 to 10°C in temperature it may die or if his temperature remains above 40°C for long also result in death.

Because of fast heart beat his heart may burst or loss of conciousness may lead him to coma (certainly death in case of baby).

References: Google

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