A room features a window equipped with a single 1.0 m × 2.0 m glass of thickness 2 mm . Determine the rate of heat flow through the closed window if the temperature inside the room is 32^ ^ ^ C while the outside

Question

Quantrex Academy · Accepted Answer

Correct answer: A. 8000 J s^ -1

The rate of heat flow through a material is given by Fourier's law of heat conduction:

H = \dfrac{K A \Delta T}{d}

Given:
Area of the glass,

A = 1.0 \text{ m} \times 2.0 \text{ m} = 2.0 \text{ m}^2

Thickness of the glass,

d = 2 \text{ mm} = 2 \times 10^{-3} \text{ m}

Temperature difference,

\Delta T = 40^{}^{{}^{\circ}}\text{C} - 32^{}^{{}^{\circ}}\text{C} = 8^{}^{{}^{\circ}}\text{C}

Thermal conductivity,

K = 1.0 \text{ J s}^{-1} \text{ m}^{-1} ^{}^{{}^{\circ}}\textC^{-1}

Substituting the values into the formula:

H = \dfrac{1.0 \times 2.0 \times 8}{2 \times 10^{-3}}

H = \dfrac{16}{2 \times 10^{-3}}

H = 8000 \text{ J s}^{-1}

A room features a window equipped with a single 1.0 m × 2.0 m glass...

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