A Process Critical Thermal Conductivity Gauge (PCTCG) instrument relies on gauge chamber wall above-ambient-temperature-control (AATC) to provide improved accuracy and thermal stability with reduced and linearized temperature coefficients. A sensor resistor is exposed to gas pressure in a gauge chamber. AATC is provided by control of a heater that heats a chamber wall to control temperature difference between the sensor resistor and chamber wall. An example application of this technology is to end-point detection in lyophilization where the TCG is used to track partial pressures of water in binary gas mixtures.