The resistance of the thermometer at the given temperature is 15.58 ohms.
The resistance of the thermometer can be determined by applying method of interpolation as shown below;
[tex]\frac{R_\theta - R_0}{R_{100} - R_0} = \frac{\theta -0}{100 - 0}[/tex]
where;
[tex]\\\\\frac{R_\theta - 14.5}{18.5 - 14.5} = \frac{27}{100} \\\\\frac{R_\theta - 14.5}{4} = \frac{27}{100}\\\\100R_\theta - 1450 = 108\\\\100R_\theta = 1558\\\\R_\theta = 15.58 \ ohms[/tex]
Thus, the resistance of the thermometer at the given temperature is 15.58 ohms.
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