question_answer

The readings of air thermometer at\[~\mathbf{0}{}^\circ \mathbf{C}\] and \[\mathbf{100}{}^\circ \text{ }\mathbf{C}\] are \[\mathbf{50}\text{ }\mathbf{cm}\] and \[\mathbf{75}\text{ }\mathbf{cm}\] of mercury column respectively. What is the temperature at which its reading is \[\mathbf{80}\text{ }\mathbf{cm}\] of Hg column?

Answer:

                \[{{t}_{C}}=\frac{{{P}_{t}}-{{P}_{0}}}{{{P}_{100}}-{{P}_{0}}}\times 100=\frac{80-50}{75-50}\times 100=\mathbf{12}{{\mathbf{0}}^{\mathbf{o}}}\mathbf{C}.\]