Final answer:
The incorrect unit for expressing the Stefan-Boltzmann constant is D. kg/(s³)(K´), as it does not align with the proper form for energy per time per area per temperature to the fourth power.
Step-by-step explanation:
In the context of heat transfer by radiation, the Stefan-Boltzmann law describes how the power radiated from an object's surface is proportional to the fourth power of its absolute temperature. The Stefan-Boltzmann constant (σ) has a value of approximately 5.67 × 10-8 W/m²/K´. When analyzing the units provided for the Stefan-Boltzmann constant:
- A. BTU/hr*ft²*R´
- B. watt/(m²)(K´)
- C. cal/(cm²)(K´)
- D. kg/(s³)(K´)
The incorrect unit is D. kg/(s³)(K´). This unit does not represent energy per time per area per temperature to the fourth power, which is the correct form for the Stefan-Boltzmann constant.