What is the thermal conductivity of a material if a 1 m² area of it conducts 100
Practice Questions
Q1
What is the thermal conductivity of a material if a 1 m² area of it conducts 100 J of heat in 10 seconds with a temperature difference of 20°C?
2 W/m°C
5 W/m°C
10 W/m°C
20 W/m°C
Questions & Step-by-Step Solutions
What is the thermal conductivity of a material if a 1 m² area of it conducts 100 J of heat in 10 seconds with a temperature difference of 20°C?
Step 1: Identify the given values from the question. We have Q (heat conducted) = 100 J, A (area) = 1 m², (T1 - T2) (temperature difference) = 20°C, and t (time) = 10 seconds.
Step 2: Write down the formula for thermal conductivity: Q = k * A * (T1 - T2) * t.
Step 3: Rearrange the formula to solve for k (thermal conductivity): k = Q / (A * (T1 - T2) * t).
Step 4: Substitute the known values into the rearranged formula: k = 100 J / (1 m² * 20°C * 10 s).
Step 5: Calculate the denominator: 1 m² * 20°C * 10 s = 200 m²°C·s.
Step 6: Now divide the heat conducted (100 J) by the calculated denominator (200 m²°C·s): k = 100 J / 200 m²°C·s.
