The barometric pressure on a winter day in Minnesota was found to be 747 mm Hg.

Question

The barometric pressure on a winter day in Minnesota was found to be 747 mm Hg.

1a. How many meters of water would it take to exert that pressure?

(747*13.6)/1.00 = 10.1592 m

2. In this experiment a student found that when she increased the temperature of a 550mL sample of air from 22.3 degrees Celsius to 29.7 degrees Celsius, the pressure of air went from 1009cm H2O up to 1033cm H2O. Since the air expands linearly with temp, equation relating P to t is of the form: P=mt+b (Equation 9)

a. What is the slope of the line? (Find the change in P divided by the change in t.)

m = 24/7.4 = 3.2

b. Find the Value of b. (Substitute known values of P and t into the Equation 9 and solve for b.)

b = 940

I plugged in 1009 and 22.3, as well as m = 3.2

c. Express Equation 9 in terms of the values of m and b.

P = 3.2t +940

d. At what temperature t will P become zero?

t = -290

e. The temperature in Part d is the absolute zero of temperature. Lord Kelvin suggested that we set up a scaled on which that temperature is 0K. On that scale, T = t + A. Show that , on the Kelvin scale, your equation reduces to P = mT.

???

Question 2 Part b through e is where I think I need the most help. Isn't b supposed to be incredibly small so that I can show that I can omit the y-intercept altogether, which gives us the ideal gas law? I'm so confused. I must be plugging in the wrong values into Question 2 Part b....

Thanks in advance!

Explanation / Answer

First of all ,you are wrong from the very first part that is ANS 1 a)

Pressure = h*density*g = 747 mm hg = 0.996*10^5 pascal

so h = P/(row*g) = 10.1592/9.81 = 1.035 mm

Now solve rest of the parts with the corrected value ,I am sure you will get the answer

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