What would be the correct sequence in order to arrange in decreasing numerical value (magnitude) of heat transfer rate per unit temperature difference using following units:
Choose the correct answer from the options given below:
Converting all units into standard SI unit ($\text{W/K}$):
- $1\text{ kJ/(s}\cdot\text{K)} = 1000\text{ J/(s}\cdot\text{K)} = 1000\text{ W/K}$
- $1\text{ kcal/(h}\cdot^\circ\text{C)} = \frac{4184\text{ J}}{3600\text{ s}\cdot\text{K}} \approx 1.162\text{ W/K}$
- $1\text{ W/K} = 1.000\text{ W/K}$
- $1\text{ BTU/(h}\cdot^\circ\text{F)} = \frac{1055.06\text{ J}}{3600\text{ s} \times (5/9)\text{ K}} \approx 0.527\text{ W/K}$
Comparing magnitudes: $1000\text{ (D)} \gt 1.162\text{ (B)} \gt 1.000\text{ (A)} \gt 0.527\text{ (C)}$.