Blood at temperature 37°C enters the left ventricle od a skier at a rate of 100ml/s. At time t=0, the skier steps outside and begins to breathe in very cold ait. Consequently, the temperature of the blood entering the ventricle is suddenly reduced to 34°C. Assume the ventricle has a constant volume of 100 ml, is well mixed, and the specific heats and densities of blood are independent of temperature.
a) Derive an algebraic expression for the temperature of blood exiting from the ventricle as a function of time.
b) What will be the temperature of blood emerging from the ventricle after a long period of time?

Answers

Answer 1

The above question is asked 2 sections, here's the complete explanation.

a) We can use the conservation of energy equation to derive an algebraic expression for the temperature of blood exiting from the ventricle as a function of time. The equation is:

m*Cp*(Tout - Tin)*dt = Q

where m is the mass of the blood in the ventricle (which we assume to be constant at 100 ml), Cp is the specific heat of blood, Tin is the temperature of blood entering the ventricle (initially 37°C and then suddenly reduced to 34°C), Tout is the temperature of blood exiting from the ventricle, dt is the time interval, and Q is the heat transferred.

Since the volume of the ventricle is constant, we can assume that the mass of blood in the ventricle remains constant as well. Therefore, we can simplify the equation to:

Cp*(Tout - Tin)*dt = Q/m

Solving for Tout, we get:

Tout = (Q/mCp) + Tin

The heat transferred, Q, can be expressed as:

Q = U*A*(Tout - Tamb)*dt

where U is the overall heat transfer coefficient, A is the surface area of the ventricle, Tamb is the ambient temperature (which we assume to be constant at 0°C), and dt is the time interval.

Substituting Q into the previous equation and solving for Tout, we get:

Tout = (U*A*dt/(mCp) + 1/(1 - U*A*dt/(mCp))) * Tin - (U*A*dt/(mCp))/(1 - U*A*dt/(mCp)) * Tamb

b) After a long period of time, the temperature of blood emerging from the ventricle will approach the ambient temperature, which is 0°C. This is because the heat transfer between the blood and the surrounding environment will eventually reach equilibrium and the temperature difference between the blood and the surroundings will be zero. Therefore, we can substitute Tamb = 0°C into the previous equation and simplify it to:

Tout = (U*A*dt/(mCp) + 1/(1 - U*A*dt/(mCp))) * Tin

Since the specific heats and densities of blood are independent of temperature, we can assume that Cp and m remain constant. Therefore, as time approaches infinity, the first term in the equation (U*A*dt/(mCp)) approaches zero and the second term (1/(1 - U*A*dt/(mCp))) approaches infinity. This means that Tout approaches infinity as well. However, in reality, other factors such as blood flow and metabolism will eventually limit the increase in temperature and prevent it from reaching infinity.

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remarkably, almost all spaceships bank when they turn. banking is not necessary becausea. Tilting the wings in space would create a drag forceb. Tilting would case the spaceship to fall down in spacec. Banking is not needed in the monetary systems of the futured. There is no fluid to provide lift in spacee. The wings way the ship down

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It's important to clarify that the terms "spaceships," "banking," and "monetary systems" are not directly related. However, I'll do my best to address your question.

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Remarkably, almost all spaceships bank when they turn. Banking is not necessary in space because there is no fluid to provide lift (option d). In an atmosphere, tilting the wings helps generate lift due to the interaction with the air, but in space, there is no air or fluid to create such lift. Banking is more relevant to airplanes within Earth's atmosphere than it is to spaceships in the vacuum of space.

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Japan is NOT a significant producer of strategic minerals. Thus, option C is the answer.

While Japan is a major consumer of strategic minerals, including rare earth elements and other metals crucial for technology production, the country is not rich in natural resources and relies heavily on imports.

In contrast, Australia, Canada, Russia, and the United States are all major producers of a wide range of strategic minerals, including rare earths, lithium, cobalt, and others. These countries have significant reserves and mining operations that contribute to global supply chains for key industries such as electronics, aerospace, and renewable energy.

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A property manager has successfully negotiated a lease of a home built in 1965 to tents.who have no children. Regarding disclosure lead based paint, the property manager should
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c. gives the tenants 10 days to test thehome and provide the with the required booklets
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D. The property manager should have the tenants sign the disclosure form and provide them with the required booklet. Even if the tenants have no children, the regulations still require disclosure of any known lead-based paint hazards in homes built before 1978. Providing the required booklet and having the tenants sign the disclosure form is a necessary step to comply with federal regulations and protect both the tenants and the property manager.

Who is property manager?

For busy home owners and investors, a property manager is in charge of overseeing the daily operations of residential properties. For these homes, the property manager finds tenants, draughts and signs rental agreements, and amasses security deposits and other fees. Additionally, they might address tenant complaints, resolve tenant conflicts through mediation, and remove renters as necessary. They additionally provide property upkeep and cleaning.

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Why is research considered to be the heart and soul of good writing elaborate

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Answer:

You want to have facts to back your writing, to provide you solid information that will support any claims you may make in your writing. For example, if you are writing about the negatives and positives of alcohol, you'll want to research those negatives and positives rather than guess or make it up. This also proves you to be a reliable writer as well as being taken seriously in your works. Does that make sense?

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In comparison to Women in Development, WAD is generally considered to give a more critical conceptualization of women's position.

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Comparing WAD to WID, it is generally believed that the former provides a more critical conception of women's position. The foundation of the WID (Women in Development) idea is the understanding of the significance of the roles and position of women in the development process. The WAD strategy highlights the uniqueness of women's knowledge, work, goals, and responsibilities while also pushing for the recognition of that uniqueness. An vast, publicly available database "on the historical evolution of the world's distribution of income and wealth, both within countries and between countries," the World Inequality Database, formerly The World Wealth and Income Database, is also known as WID.world.

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If education is a lifelong enterprise, then you should always seek opportunities to learn and grow, both personally and professionally.

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The Ireland's form of government can best be described as a parliamentary system. In a parliamentary system, the citizens elect members of parliament, who then form the government and make policy decisions for the country.

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The draining of wetlands to create land for development represents the "P" in HIPPO, which stands for "population growth and improved urbanization."

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The above statement is true. Philosophers are concerned with justifying moral principles rather than simply accepting them as they are.

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To create a slicer for the scores Pivot Table based on the call type field, follow these steps:

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2. Go to the 'PivotTable Analyze' tab in the Excel ribbon.
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Answer: The elections in China are controlled by the Chinese Communist Party(CCP) and hence it is often biased. Thus, there is a lack of fair and democratic elections.

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