A gas sample contains 4.00g of CH₄. The volume of a given sample at standard temperature and pressure(STP) condition is 5.59 L.
At STP condition, the pressure is 1atm and the value of temperature is 0°C, which is 273K. First calculate moles of CH₄. The molar mass of CH₄ is
Molar mass=(12+(4×1))g/mol
=(12+4)g/mol
=16g/mol
Therefore, the moles of CH₄ is
moles=4.00 g×(1 mol/16 g)
moles=0.25 mol
To find out volume, use ideal gas law formula which is
PV=nRT
R=0.08206 Latm/molK
Rearrange the formula for V
V=nRT/P
Plug all values in the formula
V=(0.25mol×0.08206Latm×273K/1atm×molK)
V=5.601 L
V=5.60 L
Therefore, the volume of a sample is 5.60 L, which is closer to the value 5.59L. Hence, the volume of a sample is 5.59 L.
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