Two thermometers are calibrated, one in degrees Celsius and the other in degrees Fahrenheit.
1 answer:
Answer:
The temperature is 233.15 K
Explanation:
Recall the formula for converting Celsius (C) to Fahrenheit (F):
To make degree C equal to degree F, we set it up as C = F
By substituting F with C on the right side of the equation above, we find C:
This indicates that -40°C = -40°F
And this temperature in Kelvin is:
-40°C + 273.15 = 233.15 K
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Answer:
Consequently, the temperature difference across the material will be
Explanation:
In this case, we apply the Fourier Law of heat conduction expressed by the following equation:
(1)
Where k = thermal conductivity = 0.2 W/ mK
A= 1m^2 denotes the cross-sectional area
Q= 3KW signifies the heat transfer rate
is the temperature difference we need to determine
represents the thickness of the material
Initially, we convert 3KW to W, resulting in:
With all variables accounted for, we can substitute and calculate:
Thus, the temperature difference across the material will be
Answer:
a, 71.8° C, 51° C
b, 191.8° C
Explanation:
Given the data:
D(i) = 200 mm
D(o) = 400 mm
q' = 24000 W/m³
k(r) = 0.5 W/m.K
k(s) = 4 W/m.K
k(h) = 25 W/m².K
The heat generation formula can be articulated as follows:
q = πr²Lq'
q = π. 0.1². L. 24000
q = 754L W/m
Thermal conduction resistance, R(cond) = 0.0276/L
Thermal conduction resistance, R(conv) = 0.0318/L
Applying the energy balance equation,
Energy In = Energy Out
This equates to q, which is 754L
From the initial analysis, the temperature at the interface between the rod and sleeve is found to be 71.8° C
Additionally, the outer surface temperature records as 51° C
Furthermore, based on the second analysis, the calculated temperature at the center of the rod is determined to be 191.8° C
