A cylindrical air tank has dimensions diameter = 0.2m and height 0.8m. an attached pressure gage...

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A cylindrical air tank has dimensions diameter = 0.2m and height0.8m. an attached pressure gage reads 200 kPa and the temperatureis 27 celcius. an electrical heater is energized inside and itraises the temperature to 147 celius in 2 minutes. Calculate themass of air in the tank (kg) (have to use ideal gas law, molecularweight of air)

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4.5 Ratings (801 Votes)

V = 3.1416*(0.1*0.1)*0.8 = 0.025133 m3 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- P V = n R T ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ==> n = P V/(R T) = 200e3*0.025133/(8.314*(27+273)) = 2.0153 moles ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- molar mass of dry air is 0.02897 Kg/mol ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ==> mass = m = 2.0153 * 0.02897 = 0.0584 Kg

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