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# Answer to Question #86410 in General Chemistry for taha

Question #86410
A 1.79-g sample of an unknown gas has a volume of 530 mL and a pressure of 923 mm Hg at 36.6 °C. Calculate the molar mass of this compound.

________ g/mol

A 1.79 g sample of an unknown gas has a volume of 530 mL and a pressure of 923 mm Hg at 36.6 °C. Calculate the molar mass of this compound.

m(gas) = 1.79 g

V(gas) = 530 ml = 0.00053 m3

p(gas) = 923 mm Hg  = 123056.5 Pa

T = 36.6°C = 309.6 K

R = 8.31 J⋅mol−1⋅K−1

M(gas) -?

Solution:

$p*V = (m*R*T)/M$$M = (m*R*T)/ (p*V)$

M(gas) = (1.79 g*8.31 J⋅mol−1⋅K−1*309.6 K) / (123056.5 Pa*0.00053 m3) = 70.61 g/mol

The molar mass of this compound is 70.61 g/mol.

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