Calculate the molar mass of a gas if 2.50 g occupies 0.875 L at 685 torr and 35C

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the answer is M= 80.1 g/mol

but I want to understand how to do it. 

Apr 14th, 2015

PV = nRT

where P= pressure, V =volume, n=number of molecules, R =constant, T=temperature

P= 685*133.322= 91324.2  kg·m/(s^2)

V=0.875/1000= 0.000875m^3

n=unknown

R= constant=8.314472kg·(m^2)/(mol·K)(s^2)

T=35+273=308K

so, n=PV/(RT)= (91324.2*0.000875)/(8.314472*308)= 0.0312

but mass=2.5

so molar mass= 2.5/0.0312= 80.1g/mol

Apr 14th, 2015

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