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A glass window 0.33 cm thick measures 87 cm by 36 cm. How much heat flows through this window per minute if the inside and outside temperatures differ by 14°C? Express your answer using two significant figures.

2 Answers

3 votes

Final answer:

The question is related to calculating the rate of heat conduction through a glass window in Physics. For a complete answer, the thermal conductivity of glass is needed, which is not provided in the question. With that value, the formula for heat conduction can be used to find the heat flow per minute.

Step-by-step explanation:

The subject of this question is Physics, and it applies to a High School grade level. To determine the rate of heat conduction through a window, we can use the formula for heat transfer through conduction:

Q = \(\frac{k \cdot A \cdot \Delta T \cdot t}{d}\)

where:
Q is the heat transferred,
k is the thermal conductivity,
A is the area,
\(\Delta T\) is the temperature difference,
t is the time, and
d is the thickness of the material.

However, the question does not provide the value of the thermal conductivity (k) for glass, which is necessary to calculate the rate of heat conduction. With the thermal conductivity value, we could then insert the given dimensions, temperature difference, and time into this formula to find the heat flow per minute. Without this value, the question cannot be fully answered as the data is incomplete. For a complete solution, thermal conductivity of the material is required.

User Pablo Fernandez
by
8.1k points
4 votes

Answer:

6.38 x 10^4 J

Step-by-step explanation:

d = 0.33 cm = 0.33 x 10^-2 m, Area = 87 x 36 cm^2 = 0.87 x 0.36 m^2

ΔT = 14 degree C, t = 1 min = 60 second

K = 0.8 W / m K

Heat = K A ΔT t / d

H = 0.8 x 0.87 x 0.36 x 14 x 60 / (0.33 x 10^-2)

H = 6.38 x 10^4 J

User Curtybear
by
8.7k points