A 1,135 ft², 8 in. thick concrete wall has inside and outside surface temperatures of 19°C and 8°C. A 2 in. insulation batt with a thermal conductivity of k= 0.03 Btu/(h· ft °F) is added to the wall. Determine the reduction in heat transfer rate. What is the thickness of the insulation in meters? 0.0508 ✔m What is the thermal conductivity value of the insulation batt in W/(mK)? 0.05189 ✓ W/(m .K) What is the R-value of the concrete wall (in m². K/W)? 0.133 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m². K/W What is the R-value of the insulation batt (in m². K/W)? 0.977 ✔m². K/W What is the heat transfer rate (in W) when the insulation is added? 1046.04 ✔ W What is the percent reduction in the heat transfer rate? 89.82 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.%

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Temperature Difference and Heat Transfer

Whenever there is a flow of heat flux resulting from a temperature gradient within the material or between two materials, there is heat transfer. Heat transfer primarily arises due to temperature differences between two bodies or within bodies. The term temperature gradient denotes temperature differences or variation of temperature due to change in some quantity. The fundamental use of the concept of temperature is found in the zeroth law of thermodynamics.