Question #161318

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?


1
Expert's answer
2021-02-09T03:37:24-0500

Solution:

ρ=PMRTρ=\dfrac{PM}{RT}


argon is 39.8 (gmole)(\frac{g}{mole})


ρ=(10.276)(39.8)(8.314)(273.15+24.4)ρ=\dfrac{(10.276)(39.8)}{(8.314)(273.15+24.4)}


ρ=0.165(gL)ρ=0.165(\frac{g}{L})


0.165(gL)1L1000cm3=165(gcm3)0.165(\frac{g}{L})*\dfrac{1L}{1000cm^3}=165(\frac{g}{cm^3})



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