Answer:
4g/mol
Explanation:
Firstly, we can get the number of moles of the gas present using the ideal gas equation.
PV = nRT
Here:
P = 886 torr
V = 224ml = 224/1000 = 0.224L
T = 55 degrees celcius= 55+ 273.15 = 328.15K
R = molar gas constant = 62.36 L⋅Torr⋅K−1⋅mol−1
n = PV/RT
n = (886 * 0.224)/(62.36 * 328.15)
n = 0.009698469964 mole
Now to get the molar mass, this is mathematically equal to the mass divided by the number of moles. We have the mass and the number of moles, remaining only the molar mass.
First, we convert the mass to g and that is 38.8/1000 = 0.0388
The molar mass is thus 0.0388/0.009698469964 = 4g/mol
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.
Learn more: brainly.com/question/11969651
I think A would be the correct answer to this question.
