A fixed mass of an ideal gas is maintained at constant volume the pressure of the gas at triple point of water is Ptr then the thermodynamic temperature of the gas when the pressure is P is
Answers
Answer:
Measurement of Temperature on the Ideal Gas Scale
In this experiment a constant volume gas thermometer is used to measure temperature using the Ideal Gas scale. On this scale temperature has been defined as proportional to the product of PV for a fixed mass of gas. If the volume of the gas is kept constant, then the temperature is proportional to the pressure of the gas.

and so

If T1 and P1 are assigned the values of the temperature and pressure of the gas at the triple point of water (where T = 273.16 K), then the formula becomes

where P is the pressure of the gas at temperature T, and Ptp is the pressure of the gas at the triple point of water.


Measurement of Temperature on the Ideal Gas Scale – Page 2
Apparatus
PC, e-ProLab interface and software, pressure sensor, Celsius thermometer, large beaker, round-bottomed or conical flask, rubber stopper, glass and plastic tubing, and a hotplate.
Diagram



Measurement of Temperature on the Ideal Gas Scale – Page 3
Method
Set up the apparatus as shown in the diagram. Add some ice to the beaker and allow the ice-water system to reach thermal equilibrium, stirring the mixture continuously until this is achieved. Click  here for a calibrated HiScope file. Record the pressure of the gas. This is the pressure at the ice-point which is very close to the triple point. Note and use this value for Ptp. Use the hotplate to heat the water in the beaker, and record the pressure of the gas for every 10 degree rise in temperature as indicated on the Celsius thermometer. Click  here for an Excel file to input your results. Record the Celsius temperature reading for each measurement for comparison purposes. Calculate the corresponding temperatures on the Ideal Gas scale using the following formula.