The molecular formula shows the number of atoms present. The molecular formula of the gas is most likely ClO2.
In terms of gas density and molar mass, the ideal gas equation can be written in the form; PM = dRT
Where;
P = pressure of the gas
M = molar mass of the gas
d = density of the gas
R = molar gas constant
T = temperature of the gas
Making the molar mass of the gas the subject of the formula;
M = dRT/P
d = 2.875 g/L
R = 0.082 atmLmol-1K-1
T = 11°C + 273 = 284 K
P = 750.0 mm Hg or 0.99 atm
Substituting values;
M = 2.875 g/L × 0.082 atmLmol-1K-1 × 284 K/ 0.99 atm
M = 67.6 g/mol
The gas is most likely ClO2.
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