Determine the neutral temperature and the inversion temperature of...

For a copper-iron thermocouple, the neutral temperature $T_n$ is a known standard value, which is $270^{{}^{{}^{\circ}}}C$.

The relationship between the inversion temperature $T_i$, neutral temperature $T_n$, and the temperature of the cold junction $T_c$ is given by $T_i - T_n = T_n - T_c$.

Given that the reference junction is maintained at $T_c = 0^{{}^{{}^{\circ}}}C$, the equation simplifies to $T_i = 2T_n$.

Substituting the value of $T_n$, we get $T_i = 2 \times 270^{{}^{{}^{\circ}}}C = 540^{{}^{{}^{\circ}}}C$.

Thus, the neutral temperature is $270^{{}^{{}^{\circ}}}C$ and the inversion temperature is $540^{{}^{{}^{\circ}}}C$.