Question

A thermocouple thermometer is used to measure temperature of a medium; an e.m.f of 28.5V is measured. The e.m.f of the thermometer at the ice point and steam point are 10.0V and 14.2V respectively. Calculate the temperature of the medium.​

Answer 1

To calculate the temperature of the medium using the given information, we can use the equation for the relationship between electromotive force (e.m.f.) and temperature. Using the ice point and steam point values, we can find the constant of proportionality and then calculate the temperature of the medium.

Step-by-step explanation:

To calculate the temperature of the medium using the given information, we can use the equation for a linear relationship between electromotive force (e.m.f.) and temperature.

We can set up the equation as:

e.m.f. = k(T - T_ice)

where e.m.f. is the measured voltage, k is the constant of proportionality, and T_ice is the temperature of the ice point.

First, we need to find the value of k. Using the ice point and steam point values, we can set up two equations:

10.0V = k(0°C - T_ice)

14.2V = k(100°C - T_ice)

Solving these equations, we find k = 0.1V/°C.

Now we can use the measured e.m.f. of 28.5V to calculate the temperature of the medium:

28.5V = 0.1V/°C (T - T_ice)

Solving for T, we get T = 285°C.