In a student experiment, a constant-volume gas thermometer is calibrated in liqu
ID: 1519933 • Letter: I
Question
In a student experiment, a constant-volume gas thermometer is calibrated in liquid nitrogen (196°C) and in boiling ethyl alcohol (77°C). The separate pressures are 0.352 atm and 1.648 atm. Hint: Use the linear relationship P = A + BT, where A and B are constants.
(a) What value of absolute zero does the calibration yield? 5.438 Incorrect: Your answer is incorrect. Use the given calibration data to determine the coefficients in the linear equation that relates pressure and temperature. Then use the pressure for an ideal gas at absolute zero in the linear expression to find the temperature to which it corresponds. °C
(b) What pressure would be found at the freezing point of water? 2.4896 Incorrect: Your answer is incorrect. Use the linear relation with the coefficients you determined to find the pressure of the gas at the freezing point of water. atm
(c) What pressure would be found at the boiling point of water?
Explanation / Answer
P = A + BT
0.352 = A + B(273.16-196)
1.648 = A + B(273.16 +1.648)
solving for a and B
P = -0.153946 + 0.0065571*T
a) T = 0, P = -0.1539501676 atm
b) T = 273.16, P = 1.637191436 atm
c) T = 373.16, P = 2.292901436 atm