Question

Given indoor temperature range 38°C (max) and 34°C (min) and outdoor range 42°C and 30°C, the thermal damping (in %) is \(\underline{\hspace{2cm}}\).

Hint:

Thermal damping reflects how much the building reduces the outdoor temperature swing: $1 - (\Delta T_{\text{in}} / \Delta T_{\text{out}})$.

Answer 1

Correct Answer: 66 - 67

Thermal damping is the ratio of indoor swing to outdoor swing: \[ \Delta T_{\text{indoor}} = 38 - 34 = 4^\circ\text{C}, \] \[ \Delta T_{\text{outdoor}} = 42 - 30 = 12^\circ\text{C}. \] Damping factor: \[ D = \frac{\Delta T_{\text{indoor}}}{\Delta T_{\text{outdoor}}} = \frac{4}{12} = 0.3333. \] Thermal damping in percentage: \[ D_{\%} = (1 - D)\times 100 = (1 - 0.3333)\times 100 = 66.67\%. \] Final Answer: \[ 66.67% \]