If a Geiger counter is filled with 1 mol of argon gas at pressure P = 10276 Pa and temperature T = 24.4 degrees C, what is the density p of the gas in this Geiger tube in grams per cubic centimeter?
ρ=PMRTρ=\dfrac{PM}{RT}ρ=RTPM
argon is 39.8 (gmole)(\frac{g}{mole})(moleg)
ρ=(10.276)(39.8)(8.314)(273.15+24.4)ρ=\dfrac{(10.276)(39.8)}{(8.314)(273.15+24.4)}ρ=(8.314)(273.15+24.4)(10.276)(39.8)
ρ=0.165(gL)ρ=0.165(\frac{g}{L})ρ=0.165(Lg)
0.165(gL)∗1L1000cm3=165(gcm3)0.165(\frac{g}{L})*\dfrac{1L}{1000cm^3}=165(\frac{g}{cm^3})0.165(Lg)∗1000cm31L=165(cm3g)
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