Please answer all part of this question. In a student experiment, a constant vol

Question

Please answer all part of this question. In a student experiment, a constant volume gas thermometer is calibrated in dry ice (-78.5 degree C) and in boiling ethyl alcohol (78 degree C). The separate pressures are 0.892 atm and 1.622 atm. What value of absolute zero does the calibration yield? What pressure would be found at the freezing point of water? What pressure would be found at the boiling point of water? The New River Gorge bridge in West Virginia is a 518-m-long steel arch. How much will its length change between temperature extremes - 23 degree C and 39 degree C?

Explanation / Answer

P = A + B*T

given values are:

when T = -78.5 C = 273 - 78.5 = 194.5 K, then P = 0.892 atm

when T = 78 C = 273 + 78 = 351 K, then P = 1.622 atm

0.892 = A + 194.5*B

1.622 = A + 351*B

Solving the equations:

A = -0.01525

B = 0.00466

Using these values:

P = -0.01525 + 0.00466*T

A.

when T = 0, then pressure will be:

P = -0.01525 atm

B.

when T = 0 C = 273 K

P = -0.01525 + 0.00466*273

P = 1.257 atm

C.

when T = 100 C = 373 K

P = -0.01525 + 0.00466*373

P = 1.723 atm

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