Biomedical Engineering: power (W) needed to warm blood

AI Thread Summary
The discussion revolves around calculating the theoretical heating power required for a blood warmer during rapid transfusions to prevent hypothermia. Participants express confusion about how to incorporate the transfusion rate into the calculations, specifically how to use the volume of blood being transfused. The relevant equations include q=mcΔT for energy required and W=J/s for power, with density and specific heat provided for the blood product. Suggestions include calculating the energy needed to heat 900 ml of blood and then determining the power required to achieve this in one hour. The conversation emphasizes the need for clarity in applying these formulas to solve the problem effectively.
A Furious Potato
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Homework Statement


Fast-flow blood warmers (pictured below) can be used to heat blood products (carefully and uniformly) when rapid, high-volume transfusions are necessary, in order to prevent hypothermia in the patient. The blood product density and specific heat can be assumed to be 1.12 g/cm3 and 3.8 kJ/kgK, respectively. If the blood product initially is at 8 degrees Celcius, the target temperature is 37 degrees Celcius, and the maximum transfusion rate is 900 ml/h, what is the theoretical heating power (W) needed for this machine?
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Homework Equations


q=mcΔT
W=J/s
Density=m/V

The Attempt at a Solution


Sorry, this is a new type of problem that our prof. gave, and he also gave no hint/formula so I am lost. Where do you implement the transfusion rate in the calculation? Do I treat it as the volume?
 
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Use your first equation to find energy to heat the 900ml.
Use the second equation to find the power required to do it in one hour.
Or combine the equations to do it all in one step.
 
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billy_joule said:
Use your first equation to find energy to heat the 900ml.
Use the second equation to find the power required to do it in one hour.
Or combine the equations to do it all in one step.
Thank you :)
 
A Furious Potato said:

Homework Statement


Fast-flow blood warmers (pictured below) can be used to heat blood products (carefully and uniformly) when rapid, high-volume transfusions are necessary, in order to prevent hypothermia in the patient. The blood product density and specific heat can be assumed to be 1.12 g/cm3 and 3.8 kJ/kgK, respectively. If the blood product initially is at 8 degrees Celcius, the target temperature is 37 degrees Celcius, and the maximum transfusion rate is 900 ml/h, what is the theoretical heating power (W) needed for this machine?
View attachment 190432

Homework Equations


q=mcΔT
W=J/s
Density=m/V

The Attempt at a Solution


Sorry, this is a new type of problem that our prof. gave, and he also gave no hint/formula so I am lost. Where do you implement the transfusion rate in the calculation? Do I treat it as the volume?
please tell me how you figured this out because I actually have like the exact question on my homework, thank you.
 
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