Concept:
Different temperature sensors have distinct operating limits based on their materials and physical working principles. When measuring extreme temperatures exceeding 1500 \(^\circ\)C, physical contact sensors melt or degrade rapidly. Non-contact measurement instruments based on thermal radiation theory must be utilized.
Step 1: Analyzing the limits of each instrument.
• Mercury-in-glass thermometer: Limited by the boiling point of mercury and the softening point of glass. Max operational limit is roughly 350 \(^\circ\)C to 500 \(^\circ\)C (if pressurized with nitrogen gas).
• Platinum resistance thermometer (RTD): Extremely accurate but structurally limited by the melting point and stability of platinum wires, functioning safely up to a maximum of around 850 \(^\circ\)C to 1000 \(^\circ\)C.
• Constant-volume hydrogen thermometer: A primary gas thermometer standard, generally useful only for lower to moderate temperature calibrations up to approximately 500 \(^\circ\)C.
• Radiation pyrometer: Operates via the Stefan-Boltzmann law by capturing the electromagnetic radiation emitted from a hot body. Because it requires zero physical contact with the high-temperature zone, it can seamlessly measure temperatures from 1000 \(^\circ\)C up to 3000 \(^\circ\)C and beyond.
Step 2: Conclusion.
For a demanding process environment at 2000 \(^\circ\)C, only a non-contact optical or radiation method like the radiation pyrometer can function safely and effectively.