Question 3.SP.3: What would be the reading on a barometer containing carbon t......

Fluid Mechanics With Engineering Applications [917590]

What would be the reading on a barometer containing carbon tetrachloride at 68°F at a time when the atmospheric pressure was equivalent to 30.26 inHg ?

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$p_{\mathrm{atm}}=30.26 \mathrm{inHg} \times \frac{14.696 \mathrm{psia}}{29.92 \mathrm{inHg}}=14.86 \mathrm{psia}$

Table A.4 for carbon tetrachloride at 68°F :

$\rho=3.08 \mathrm{slugs} / \mathrm{ft}^{3}, \quad p_{\text {vapor }}=1.90 \mathrm{psia}$

From Eq. (3.8): $y=\frac{p_{\text {atm }}-p_{\text {vapor }}}{\rho g}$

$\begin{aligned}& =\frac{(14.86-1.90) 144}{3.08(322)}\end{aligned}$

= 18.82 ft of carbon tetrachloride

$p_{\mathrm{atm}}=\gamma y+p_{\text {vapor }}$ (3.8)

TABLE A.4 Physical properties of common liquids at standard sea-level atmospheric pressure ${ }^a$
Liquid	$\textbf {Temprature,} \\ \textbf{T}$	$\textbf{Density, } \\ \mathbf{\rho}$	$\textbf{Specific gravity,} {}^b \\ \mathbf{\rho}$	$\textbf{Absolute viscosity,} {}^c\\ \mathbf{\mu}$	$\textbf{Surface tension,}\\ \mathbf{\sigma}$	$\textbf{Vapor perssure, }\\ \mathbf{P_v}$	$\textbf{Specific heat,}\\ \mathbf{c}$	$\textbf{Bulk modulus of elasticity,}\\ \mathbf{E_v}$
	${ }^{\circ} \mathbf{F}$	$\textbf{ slug/ff }{ }^3$	–	$10^{-6} \mathbf{lb} \cdot \mathbf{sec} / \mathbf{ft}^2$	$\mathbf{lb} / \mathbf{ft}$	$\textbf { psia }$	$\textbf { psi }$	$\begin{aligned}& \mathbf{f t} \cdot \mathbf{l b} /\left(\text { slug } \cdot{ }^{\circ} \mathbf{R}\right) \\& =\mathbf{ft}^2 /\left(\sec ^2 \cdot{ }^{\circ} \mathbf{R}\right)\end{aligned}$
Benzene	$68^{\circ} \mathbf{F}$	1.70	0.88	14.37	0.0020	1.45	150,000	10,290
Carbon tetrachloride	$68^{\circ} \mathbf{F}$	3.08	1.594	20.35	0.0018	1.90	160,000	5,035
Crude oil	$68^{\circ} \mathbf{F}$	1.66	0.86	150	0.002	–	–	–
Gasoline	$68^{\circ} \mathbf{F}$	1.32	0.68	6.1	–	8.0	–	12,500
Glycerin	$68^{\circ} \mathbf{F}$	2.44	1.26	31,200	0.0043	0.000002	630,000	14,270
Hydrogen	$-430^{\circ} \mathbf{F}$	0.143	0.074	0.435	0.0002	3.1	–	–
Kerosene	$68^{\circ} \mathbf{F}$	1.57	0.81	40	0.0017	0.46	–	12,000
Mercury	$68^{\circ} \mathbf{F}$	26.3	13.56	33	0.032	0.000025	3,800,000	834
Oxygen	$-320^{\circ} \mathbf{F}$	2.34	1.21	5.8	0.001	3.1	–	∼5,760
SAE 10 oil	$68^{\circ} \mathbf{F}$	1.78	0.92	1,700	0.0025	–	–	–
SAE 30 oil	$68^{\circ} \mathbf{F}$	1.78	0.92	9,200	0.0024	–	–	–
Fresh water	$68^{\circ} \mathbf{F}$	1.936	0.999	21.0	0.0050	0.34	318,000	25,000
Seawater	$68^{\circ} \mathbf{F}$	1.985	1.024	22.5	0.0050	0.34	336,000	23,500
	${ }^{\circ} \mathbf{C}$	$\mathbf{kg} / \mathbf{m}^3$		$10^{-3} \mathbf{~N} \cdot \mathbf{s} / \mathbf{m}^2$	$\mathbf{N} / \mathbf{m}$	$\mathbf{kN} / \mathbf{m}^2 \mathbf{abs}$	$10^6 \mathbf{~N} / \mathbf{m}^2$	$\begin{aligned}& \mathbf{N} \cdot \mathbf{m} /(\mathbf{kg} \cdot \mathbf{K}) \\& =\mathbf{m}^2 /\left(\mathbf{s}^2 \cdot \mathbf{K}\right)\end{aligned}$
Benzene	$20^{\circ} \mathbf{C}$	876	0.88	0.65	0.029	10.0	1030	1720
Carbon tetrachloride	$20^{\circ} \mathbf{C}$	1588	1.594	0.97	0.026	13.1	1100	842
Crude oil	$20^{\circ} \mathbf{C}$	856	0.86	7.2	0.03	–	–	–
Gasoline	$20^{\circ} \mathbf{C}$	680	0.68	0.29	–	55.2	–	2100
Glycerin	$20^{\circ} \mathbf{C}$	1258	1.26	1494	0.063	0.000014	4344	2386
Hydrogen	$-257^{\circ} \mathbf{C}$	73.7	0.074	0.021	0.0029	21.4	–	–
Kerosene	$20^{\circ} \mathbf{C}$	808	0.81	1.92	0.025	3.20	–	2000
Mercury	$20^{\circ} \mathbf{C}$	13550	13.56	1.56	0.51	0.00017	26200	139.4
Oxygen	$-195^{\circ} \mathbf{C}$	1206	1.21	0.278	0.015	21.4	–	∼964
SAE 10 oil	$20^{\circ} \mathbf{C}$	918	0.92	82	0.037	–	–	–
SAE 30 oil	$20^{\circ} \mathbf{C}$	918	0.92	440	0.036	–	–	–
Fresh water	$20^{\circ} \mathbf{C}$	998	0.999	1.00	0.073	2.34	2171	4187
Seawater	$20^{\circ} \mathbf{C}$	1023	1.024	1.07	0.073	2.34	2300	3933
${ }^a$ In these tables, if (for example, for benzene at $68^{\circ} \mathrm{F}$ ) $\mu$ is given as $1.437$ and the units are $10^{-6} \mathrm{lb} \cdot \mathrm{sec} / \mathrm{ft}^2$ then $\mu=1.437 \times 10^{-6} \mathrm{lb} \cdot \mathrm{sec} / \mathrm{ft}^2$ ${ }^b$ Relative to pure water at $60^{\circ} \mathrm{F}$ . ${ }^c$ For viscosity, see also Figs. A.1 and A.2.