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Sampling Guide for Air Contaminants in the Workplace - Irsst

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36 IRSST – <strong>Sampl<strong>in</strong>g</strong> <strong>Guide</strong> <strong>for</strong> <strong>Air</strong> <strong>Contam<strong>in</strong>ants</strong> <strong>in</strong> <strong>the</strong> <strong>Workplace</strong><br />

reference pressure and temperature (variable depend<strong>in</strong>g on <strong>the</strong> source). The flow must be corrected <strong>in</strong> relation<br />

to <strong>the</strong> pressure and temperature on <strong>the</strong> sampl<strong>in</strong>g site us<strong>in</strong>g <strong>the</strong> follow<strong>in</strong>g equation:<br />

Equation 17: Flow correction <strong>in</strong> relation to <strong>the</strong> pressure and temperature (rotameter)<br />

Qs<br />

= Q<br />

flowm<br />

∗<br />

Q s : real sampl<strong>in</strong>g rate<br />

P s : absolute ambient pressure (mm of Hg)<br />

Pflowm<br />

∗Ts<br />

T s : absolute ambient temperature (°K)<br />

Q flowm : flow <strong>in</strong>dicated on <strong>the</strong> flow meter (Q read )<br />

Ps<br />

∗T<br />

flowm<br />

P flowm : flow meter calibration pressure (mm of Hg)<br />

T flowm: flow meter calibration temperature (°K)<br />

Table 7- Reference pressures and temperatures used by manufacturers <strong>for</strong> certa<strong>in</strong> rotameters<br />

Company<br />

Ma<strong>the</strong>son<br />

Allegro<br />

Gilmont<br />

Reference<br />

pressure<br />

mm of Hg<br />

760<br />

Manufacturer's<br />

reference<br />

temperature<br />

294°K<br />

(21°C)<br />

IRSST's reference<br />

temperature<br />

298°K<br />

(25°C)<br />

2.7.2.3 Mass flow meter<br />

A hot-wire flow meter uses <strong>the</strong> phenomenon of heat transfer between a hot body and a gas to quantify a flow<br />

rate. When a gas circulates above a hot surface, heat is transferred between <strong>the</strong> hot surface and <strong>the</strong> gas. The<br />

rate of heat transfer will depend on <strong>the</strong> mass of product circulat<strong>in</strong>g and <strong>the</strong> <strong>the</strong>rmal properties of <strong>the</strong> gas and<br />

<strong>the</strong> surfaces. This rate of heat transfer will be proportional to <strong>the</strong> mass flow rate if <strong>the</strong> specific heat of <strong>the</strong> gas<br />

and ∆T rema<strong>in</strong> constant.<br />

Hot-wire flow meters are designed to display <strong>the</strong> same response <strong>for</strong> <strong>the</strong> same mass flow rate, even if <strong>the</strong><br />

temperature and pressure conditions are different. They <strong>the</strong>re<strong>for</strong>e have <strong>the</strong> advantage of display<strong>in</strong>g a flow rate<br />

at <strong>the</strong> <strong>in</strong>strument's standard conditions, regardless of <strong>the</strong> temperature and pressure conditions.<br />

The flow rate displayed by a mass flow meter (Q flowm ) <strong>the</strong>re<strong>for</strong>e does not always correspond to <strong>the</strong> actual flow<br />

circulat<strong>in</strong>g <strong>in</strong> it (Q s ). The latter can be calculated us<strong>in</strong>g <strong>the</strong> flow meter equation which depends on its<br />

calibration conditions described <strong>in</strong> <strong>the</strong> follow<strong>in</strong>g table and <strong>the</strong> ambient conditions of use. For a given gas, <strong>the</strong><br />

flow meter equation is simply that of mass flow conservation:<br />

Equation 18: Flow correction <strong>in</strong> relation to <strong>the</strong> pressure and temperature (mass flow meter)<br />

Q s : sampl<strong>in</strong>g rate<br />

P s : absolute ambient pressure (mm of Hg)<br />

⎛ Pflowm<br />

⎞ ⎛ T ⎞<br />

s<br />

Q<br />

T s : absolute ambient temperature (°K)<br />

s<br />

= ⎜ ⎟<br />

⎜<br />

Q<br />

flowm<br />

P<br />

⎟ ∗ ∗<br />

Q flowm : flow <strong>in</strong>dicated on <strong>the</strong> flow meter (Q read )<br />

s<br />

T<br />

⎝ ⎠ ⎝ flowm ⎠<br />

P flowm : flow meter calibration pressure (mm of Hg)<br />

T flowm : flow meter calibration temperature (°K)<br />

Table 8- Reference pressures and temperatures used by manufacturers <strong>for</strong> some mass flow meters<br />

Company Reference pressure<br />

Reference temperature<br />

mm of Hg<br />

Hast<strong>in</strong>g 760 293°K (20°C)<br />

Kurz 760 298°K (25°C)<br />

2.7.2.4 Corrections <strong>for</strong> variations <strong>in</strong> temperature and/or pressure<br />

Depend<strong>in</strong>g on <strong>the</strong> situation, corrections can be applied to take <strong>in</strong>to account variations <strong>in</strong> volume as a<br />

function of ambient temperature and pressure. A volume or flow rate evaluated under certa<strong>in</strong> conditions of<br />

temperature and pressure can be converted to o<strong>the</strong>r conditions of temperature and pressure. These<br />

corrections are based on <strong>the</strong> conservation of <strong>the</strong> number of molecules <strong>in</strong> <strong>the</strong> sampled volume:

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