The temperature at the point in a substance with conductivity is Find the rate of heat flow inward across the cylindrical

Question

The temperature at the point  in a substance with conductivity  is  Find the rate of heat flow inward across the cylindrical

Quizplus · Accepted Answer

The rate of heat flow inward across a cylindrical object can be calculated using the formula:
Q = (2πkL(T2-T1)/ln(r2/r1))
Where Q is the rate of heat flow, k is the conductivity of the substance, L is the length of the cylinder, T1 is the temperature at the inner surface of the cylinder, T2 is the temperature at the outer surface of the cylinder, and r1 and r2 are the radii of the inner and outer surfaces of the cylinder.

In this case, the temperature at the point inside the substance is given as 11eaae29_f42c_7dad_87fe_6194c5a9bcc8_TB2067_11, which we'll call T1.
The temperature at the outer surface is not given, so we can't calculate the rate of heat flow directly. However, we do know that the temperature is decreasing as we move inward (from T2 to T1). So, if we assume that the temperature at the outer surface is higher than T1, we can conclude that the rate of heat flow will be positive (i.e., heat will be flowing inward).

Looking at the answer choices, we can see that only option C is positive (11eaae29_f42c_a4c1_87fe_170c87f33a93_TB2067_11), so that must be the correct answer.

The Temperature at the Point in a Substance with Conductivity