Question

During heavy exercise, the body pumps 2.00 L of blood per minute to the surface, where it is cooled by 2.00ºC. What is the rate of heat transfer from this forced convection alone, assuming blood has the same specific heat as water and its density is 1050 kg/m³?

a) 35.0 W
b) 50.0 W
c) 75.0 W
d) 100.0 W

Answer 1

The rate of heat transfer from forced convection alone is 35.0 W.

Therefore, the rate of heat transfer from forced convection alone is 35.0 W.

Step-by-step explanation:

In order to calculate the rate of heat transfer from forced convection, we can use the formula:

P = mc∆T

Where:
P is the power (rate of heat transfer)
m is the mass flow rate
c is the specific heat capacity

∆T is the change in temperature

In this case, we know that 2.00 L of blood is pumped per minute and cooled by 2.00℃. To convert liters to kilograms, we can use the density of the blood which is given as 1050 kg/m³.

Plugging in the values into the formula, we get:

P = (2.00 L/min x 1050 kg/m³ x 4.18 J/g°C x 2.00°C) / 60 s

Simplifying the equation, we get:

P = 35.0 W

Therefore, the rate of heat transfer from forced convection alone is 35.0 W.