Answer :
The molar mass of the gas is 3.58 g/mol.
To find the molar mass of the gas
We can use the ideal gas law equation:
[tex]PV = nRT[/tex]
Where
- P is the pressure in torr
- volume (in milliliters)
- The number of moles is n
- R = 62.36 L torr/mol K, the ideal gas constant
- T is the temperature (in K)
We can rearrange the equation to solve for n:
[tex]n = PV/RT[/tex]
We know the following values:
P = 918 torr
V = 222 mL
R = 62.36 L torr/mol K
T = 57°C + 273 = 330 K
To solve for n, we can enter these numbers into the equation:
n = (918 torr)(222 mL)/(62.36 L torr/mol K)(330 K) = 0.0108 mol
Now, we can use the definition of molar mass to find the molar mass of the gas:
molar mass = mass/number of moles
We know the following values:
mass = 38.6 mg = 0.0386 g
n = 0.0108 mol
We can plug these values into the equation to solve for the molar mass
molar mass = 0.0386 g/0.0108 mol = 3.58 g/mol
Therefore, the molar mass of the gas is 3.58 g/mol.
Learn more about ideal gas law here : brainly.com/question/12873752
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