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In a student experiment, a constant-volume gas thermometer is calibrated in liqu

ID: 1490284 • Letter: I

Question

In a student experiment, a constant-volume gas thermometer is calibrated in liquid nitrogen (196°C ) and in boiling allyl alcohol (97°C). The separate pressures are 0.345 atm and 1.710 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?_____________ °C

(b) What pressure would be found at the freezing point of water? _______________atm

(c) What pressure would be found at the boiling point of water? _____________atm

Explanation / Answer

Here,   P = A + BT

=>    0.345 = A - B*196

=>    1.710 =   A + B*97

=> A =   1.258 atm

=> B =   0.00465 atm/°C

a)   Here,    0 = 1.258 + 0.00465 *T

=> T = - 270.53 °C               ----------------->   value of absolute zero does the calibration yield

b)    Here,   P =   1.258 + 0.00465 *0

   =>    P =   1.258 atm               ----------------->   pressure found at the freezing point of water

c)    Here,   P =   1.258 + 0.00465 *100

=> P =   1.723 atm                     -------------------->   pressure found at the boiling point of water