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Sierra Series 830/840/860 Side-Trak™ and ... - Sierra Instruments

Sierra Series 830/840/860 Side-Trak™ and ... - Sierra Instruments

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<strong>Series</strong> <strong>830</strong>/<strong>840</strong>/<strong>860</strong> Instruction ManualAppendix AAppendix A Conversion Formulas <strong>and</strong> Gas TablesConversion of Flow Rate to Other T <strong>and</strong> P ConditionsThe flow rate of your transducer is referenced to certain “st<strong>and</strong>ard”conditions of temperature <strong>and</strong> pressure. Unless otherwise specifiedin your order, these st<strong>and</strong>ard conditions are 21°C (70°F) <strong>and</strong> 760 mmof mercury (1 atmosphere). If you wish to convert to other “st<strong>and</strong>ard”conditions or to find the “actual” conditions in the pipe whereyour instrument is installed, use the following relationship:P 1 T 2Q 2 = Q 1 (1)P 2 T 1( ) 1 = The st<strong>and</strong>ard conditions under which your instrumentwas calibrated,( ) 2 = The new st<strong>and</strong>ard conditions or the actual temperature<strong>and</strong> pressure conditions in the pipe,Q 1 =Q 2 =P =The gas mass flow rate referenced to the calibrated st<strong>and</strong>ardconditions (sccm or slm),The gas mass flow rate referenced to the new st<strong>and</strong>ard oractual conditions (sccm or slm—“S” means “st<strong>and</strong>ard,”accm or alm—“A” means “actual”),Absolute pressure (kg/cm 2 or psia), <strong>and</strong>T = Absolute temperature (°K or °R) (°K = °C + 273, °R = °F + 460).Example 1: Changing “St<strong>and</strong>ard” ConditionsIf your transducer has a flow rate reading of 10.00 slm <strong>and</strong> was calibratedat st<strong>and</strong>ard conditions of 70°F (21°C) <strong>and</strong> 1 atmosphere (14.7psia), <strong>and</strong> if you wish to convert this reading to st<strong>and</strong>ard conditions of32°F (0°C) <strong>and</strong> 1 atmosphere, then you would use Equation (1) as follows:Q 2 =14.7 460 + 3214.7 460 + 70(10.0) = 9.28 slmThe flow rate referenced to 0°C will be approximately 7% lower thanwhen referenced to st<strong>and</strong>ard conditions of 21°C.Example 2: Finding the “Actual” Flow RateIf the flow rate <strong>and</strong> calibrated st<strong>and</strong>ard conditions are as given inExample 1 <strong>and</strong> you wish to find the actual flow rate at 100°F <strong>and</strong>30 psig, then you would use Equation (1) as follows:IM-83/84/86-H A-1

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