Please answer ALL parts of the question found on both photos(Part A through H).
ID: 776667 • Letter: P
Question
Please answer ALL parts of the question found on both photos(Part A through H). Show all work without skipping any steps. Use an equation editor or a pen and paper only. Thanks so much!
Explanation / Answer
a. since the poriont of space inside the tube above mercury is vaccum
let eheight of the mercury column be h
then
density of mercuty, rho = 13.6*10^3 kg/m^3
hence
rho*g*h = 1.01*10^5 Pa
h = 1.01*10^5/9.81*13.6*10^3 = 0.757030641 m column of mercury
b. when water is filled instead of mercury
rho = 1000 kg/m^3
hence
h = 1.01*10^5/9.81*1000 = 10.295616717 m column of water
c. given P1 = 125 mmHg
P2 = 85 mm Hg
mean pressure P = (P1 + P2)/2 = 105mm Hg
in pascals
P = 0.105*1.01*10^5/0.757030641 = 1.40220216*10^4 Pa
d. 100 mm Hg will produce a gauge pressure of 0.1*1.01*10^5/0.757030641
dP = 1.33416*10^4 Pa
e. h = 1.3 m
hb = 1.75 m
gauge pressure at heart = 1.33416*10^4 Pa
hence
gauge pressure at feet = 1.33416*10^4 + 1050*9.81*(hh) = 2.673225*10^4 Pa
f. gauge pressure at braing height = 1.33416*10^4 - 1050*9.81*(hb - h) = 8706.375 Pa
g. height from the floor saline solution will rise = dH
dH = 2.673225*10^4/1050*9.81 = 2.595238 m
h. if mean pressure at heart is 40 mm Hg, then the blood will not be able to reach the head of the person of this heigt
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