1 junction of a thermocouple is kept in melting ice and the other in boilin H20.The readin of currnt on a micro ammeter is 96mA.The micro ammetr reads 60mA when the hot junction is immersed in hot H2O.Find the temperature of the hot H20
To find the temperature of the hot water, we can use the concept of the Seebeck effect in thermocouples.
The Seebeck effect states that the voltage across a junction of two different metals in a thermocouple is proportional to the temperature difference between the junctions. In this case, the junctions are exposed to different temperatures, one in melting ice and the other in boiling water.
We are given the values of the current readings on the micro ammeter. The current is directly proportional to the voltage across the thermocouple junctions. By comparing the current readings, we can determine the temperature difference between the two junctions.
Let's start by calculating the temperature difference between the boiling water and the melting ice junctions.
We know that the micro ammeter reads 96mA when one junction is in the melting ice. This current reading corresponds to the temperature of the ice junction, which is considered as our reference temperature.
We're also given that the micro ammeter reads 60mA when the hot junction is immersed in hot water.
Since the current is directly proportional to the voltage difference caused by the temperature difference, we can set up a proportion:
(96mA - 60mA) = (100°C - T)
We assume that the temperature of the boiling water is 100°C (standard boiling point at atmospheric pressure), and T represents the temperature of the hot water.
Simplifying the equation, we get:
36mA = 100°C - T
To isolate T, we subtract 36°C from both sides of the equation:
T = 100°C - 36mA
So the temperature of the hot water is equal to 100°C minus the current reading of 36mA.
Please note that the microammeter reading may vary depending on the accuracy of the instrument used and the calibration of the thermocouple. It's always recommended to refer to the manufacturer's documentation for accurate readings.