a)Find the initial mass of oxygen b) Find the mass of oxygen that has leaked out

Question

a)Find the initial mass of oxygen b) Find the mass of oxygen that has leaked out a)Find the initial mass of oxygen b) Find the mass of oxygen that has leaked out A welder using a tank of volume 8.0010^?2 Degree c , the gauge pressure of the oxygen in the tank is 1.6010^5 Degree C . The tank has a small leak, and in time some of the oxygen leaks out. On a day when the temperature is 24.0 Pa and temperature of 36.0 g/mol ) at a gauge pressure of 3.1510^5 m^3 fills it with oxygen (with a molar mass of 32.0

Explanation / Answer

initially:
volume V = 8 × 10-2 m3
molar mass M = 32.0 g/mol = 32 * 10-3 kg/mol
pressure p0 = 3.15×105 Pa temperature T0 = 273.2 + 36.0 = 309.2 K R = 8.314 J/mol.K

find mass m :
P0V = mRT0/M
m = P0VM/(RT0)     = 0.313 kg

finally :
volume V = 8 × 10-2 m3 molar mass M = 32.0 g/mol = 32 * 10-3 kg/mol
pressure P = 1.6×105 Pa temperature T = 273.2 + 24 = 297.2 K
find mass m'
            PV = m'RT/M
              m' = (PVM)/(RT) = 0.166 kg
hence, the mass of oxygen that has leaked out = m - m'                                                             = 0.147 kg molar mass M = 32.0 g/mol = 32 * 10-3 kg/mol
pressure P = 1.6×105 Pa temperature T = 273.2 + 24 = 297.2 K
find mass m'
            PV = m'RT/M
              m' = (PVM)/(RT) = 0.166 kg
hence, the mass of oxygen that has leaked out = m - m'                                                             = 0.147 kg

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