A sample of argon gas at STP occupies 56.2 litres
Determine the number of moles of argon and the made of argon in the sample ( mol wt of Ar=40 )
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Answer:
we can use the ideal gas law equation to find the number of moles;
PV = nRT
where P - pressure
V - volume - 56.2 x 10⁻³ m³
n - number of moles
R - universal gas constant - 8.314 Jmol⁻¹K⁻¹
T - temperature
standard temperature is 273 K
and standard pressure - 101 325 Pa
we can rearrange the equation to find the number of moles
n = {PV}/{RT}n=
RT
PV
substituting the values in the equation
n = {101325Pa*56.2 x 10⁻³ m³}/{8.314 Jmol⁻¹K⁻¹*273K}n=
8.314Jmol⁻¹K⁻¹∗273K
101325Pa∗56.2x10⁻³m³
n = 2.51 mol
molar mass of Ar - 40 g/mol
mass of Ar in the sample - 2.51 mol x 40 g/mol = 100.4 g
hope it helps
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