A granite wall has a thickness of 0.50 m and a thermal conductivity of 2.1 W/(m · C°). The temperature on one face of the wall is 5.2 °C and 20.0 °C on the opposite face. How much heat is transferred in one hour through each square meter of the granite wall?

Question

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The heat transfer rate through a wall is given by the equation:Q = k * A * (T1 - T2) / dwhere:Q is the heat transfer rate in wattsk is the thermal conductivity in watts per meter-kelvinA is the area of the wall in square metersT1 is the temperature on one face of the wall in kelvinsT2 is the temperature on the opposite face of the wall in kelvinsd is the thickness of the wall in metersIn this problem, we are given the following information:k = 2.1 W/(m · C°)A = 1 m^2T1 = 5.2 °C = 278.35 KT2 = 20.0 °C = 293.15 Kd = 0.50 mPlugging these values into the equation, we get:Q = 2.1 W/(m · C°) * 1 m^2 * (278.35 K - 293.15 K) / 0.50 mQ = 2.2 × 10^5 J/m^2Therefore, the heat transfer rate through each square meter of the granite wall is 2.2 × 10^5 J/m^2.

A Granite Wall Has a Thickness of 0