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Answer:
I hope this helps 52.2 g/mol
Explanation:
1) Solve for the moles using PV = nRT:
n = PV / RT
n = [(700.0 mmHg / 760.0 mmHg atm¯1) (48.0 L)] / [(0.08206 L atm mol¯1 K¯1) (293.0 K)]
n = 1.8388 mol
2) Divide the grams given (96.0) by the moles just calculated above:
96.0 g / 1.8388 mol = 52.2 g/mol
Molecular weight of the gas is 52.2 g/mol.
What is ideal gas equation?
Ideal gas equation is a hypothetical equation which tells about the behavior of the gas under standard condition and it ca be described as:
PV = nRT, where
P = pressure = 700.0 mm Hg (given)
V = volume = 48.0 L (given)
R = universal gas constant = 0.08206 L atm mol¯¹ K¯¹
T = temperature = 20.0 °C = 293 K
On putting theses values in the above equation we get for moles is as:
n = (700 × 48) / (0.08206 × 293) = 1.8 moles
We know that moles can be represented as:
n = W / M, where
W = given weight = 96g
M = molecular weight = to find?
Putting values in the mole equation, we get
M = 96 / 1.8 = 52.2 g/mol
Hence, molecular weight of gas is 52.2 g/mol.
To know more about ideal gas equation, visit the below link:
https://brainly.com/question/1056445