4. Given the following experimental observations (errors determined as standard deviations):

h₁ = 15 + 1mm (manometer reading)

h₂ = 9±1mm (manometer reading)

P₁ = 18.6 ± 0.1 psia

Q=0.308 ± 0.06 ft³. (min)-¹

V = 1 + 0.05 gal

m = 8.2 ± 0.05 lbm

Calculate the following derived variables and their best-estimate uncertainties. Present

the results in the form of x = x, ± 8x.

a. Pressure drop reading from the manometer. AP(mmHg) = h₁ - h₂ [6±1.4mmHg]

b. Pressure drop conversion from mmHg to psia. [0.12±0.027psi]

c. Pressure ratio: [1.006±0.008794]

d. Specific Gravity: SG =

Psample

Pwater

(for liquids) [0.98+0.05]

e. Valve sizing coefficient: C₂ = Q *

SG

So for Qin

ΔΡ

gal

minute

and AP in psi [6.7+1.5]