Advance Study Assignment: verifying the Absolute Zero of Temperature Measuring t

Question

Advance Study Assignment: verifying the Absolute Zero of Temperature Measuring the Barometric Pressure the barometric pressure on a winter day in Minnesota was found to be 747 mm Hg. What would the pressure be in cm H_2O? How many meters of water would it take to exert that pressure? in this experiment a student found that when she increased the temperature of a 550 mL sample of air from 22.3 degree C to 29.7 degree C, the pressure of the air went from 1009 cm H_2O up to 1033 cm H_2O. Since the air expands linearly with temperature, the equation relating P to t is of the form: P = m + b where m is the slope of the line and b is a constant. What is the slope of the line? (Find the change in P divided by the change in t) Find the value of b. (Substitute known values of P and t into Equation 9 and solve for b.) Express Equation 9 in terms of the values of m and b. At what temperature t will P become zero? P = 0 at t = degree C = t = - A the temperature in Part d is the absolute zero of temperature. Lord Kelvin suggested that we set up a scale on which that temperature is 0 K. On that scale, T = t + A. Show that, on the Kelvin scale, your equation reduces to P = mT

Explanation / Answer

Answer (1)

PE = standard atmospheric pressure at sea level

PE = 760.0 mm Hg @ 0.0 C = 10.3323 m H2O @ 4 deg C

P = ( 747 mm Hg ) ( 10.3323 m H2O / 760 mm Hg )

P = 10.16 m H2O @ 4 deg C <------- [ b ]

P = 1016 cm H2O @ 4 deg C <-------[ a ]

Answer(2)

(a) m=3.2 cm h20/c*
(b) b=1.01
(c) P=3.2t+1.01
(d) t= -0.34

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