Show that 1.0 mol of ideal gas under STP (standard temperature of exactly 0 oC and pressure of exactly 1.0
atm or 101.3 kPa) occupies a volume of 22.4 L.
Solution.
ν=1mol;\nu=1 mol;ν=1mol;
T=273K;T=273K;T=273K;
P=101300Pa;P=101300Pa;P=101300Pa;
PV=νRT ⟹ V=νRTP;PV=\nu RT\implies V=\dfrac{\nu RT}{P};PV=νRT⟹V=PνRT;
V=1⋅8.31⋅273101300=0.0224m3=22.4L;V=\dfrac{1\sdot8.31\sdot273}{101300}=0.0224m^3=22.4L;V=1013001⋅8.31⋅273=0.0224m3=22.4L;
Answer: V=22.4L;V=22.4L;V=22.4L;
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