A constant-volume gas thermometer is calibrated in dry ice(-80.0°C ) and in boil

Question

A constant-volume gas thermometer is calibrated in dry ice(-80.0°C ) and in boiling ethyl alcohol (78.0°C ). Therespective pressures are 0.900 atm and 1.635 atm. (Note that wehave the linearrelationship P = A + BT,where A and B are constants.) (a) What value of absolute zero does the calibrationyield?
°C

(b) What pressures would be found at the freezing and boilingpoints of water? freezing point atm boiling point atm

(a) What value of absolute zero does the calibrationyield?
°C

(b) What pressures would be found at the freezing and boilingpoints of water? freezing point atm boiling point atm

freezing point atm boiling point atm

Explanation / Answer

Ans.   P=A+BT          0.9=A+B*(-80) ........(1)          1.635=A+B*78 .........(2)        A=1.275        B=4.65*10^-3            a> Now at absolute zero pressure,P=-1atm.        -1=1.275+4.65*10^-3*T           T= -489.25 0C   [Ans.]             b> at the freezing point of water,                     T=00C           P=1.275+4.65*10^-3*(0)=1.275 atm.   [Ans.]                   at the boiling point of water,                     T=1000C           P=1.275+4.65*10^-3*(100)=1.74 atm. [Ans.]

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