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Grade: 11
        The density of an ideal gas a is 1.47  g/l at STP.    Determine the density of a at 17°c and 700torr (mm).
2 years ago

Answers : (1)

Arun
23328 Points
							

Start from the idealgas laws equation, PV=nRT, where n is the number of moles.

The number of moles can be written as the ratio between the weight of the gas, i.e. its mass, and its molecular mass.

n=mMM

This means that you can write

PV=(mMM)RT

Density is defined as mass per unit of volume

ρ=V

Therefore, if you rearrange the equation, you obtain

PV=mMMRTPMMV=mRT

PMM=mVRT=ρRT

As a result,

MM=ρRTP=1.43gL0.082atmLmolK(273.15+23)K0.789atm

MM=44 g/mol  rounded to two sig figs

The gas could be carbon dioxide, CO2.

2 years ago
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