¥ O2 2xo.0-32.00g 6.) Calculate the root-mean-square speed oro,at 20 V3R 0.032Ka

Question

¥ O2 2xo.0-32.00g 6.) Calculate the root-mean-square speed oro,at 20 V3R 0.032Ka 2)Ammonia gas is synthesized according to the balanced equation below. STP 1mol of gos=22. 4 o:s f 1.55 L N: react with 4.92 L H, what is the theoretical vield (in Sters) of NHs? Assume that the volumes of reactants and products are measured at the same temperature and pressure. 1.55L N2 22-4L limiting 0.01 12 0.220mol ti2 ÷ 3 hno 8.) A vessel contained N, Ar, He, and Ne. The total pressure in the vessel was 987 torr. The partial pressures of nitrogen, argon, and helium were 44.0,486, and 218 torr, respectively. Calculate the mole fraction of neon. 9.) A gas whose molar mass you which to know effuses through an opening at a rate one-third as fast as that of helum gas. What is the molar mass of the unknown gas? V

Explanation / Answer

6)

root mean square speed = (3RT/M)1/2

where, R = ideal gas constant = 8.3145 (Kg.m2/sec2) / (K.mol)

T = absolute tempreture = 200C = 273.15 + 20 = 293.15 K

M = mass of mole of gas in kilogram = 32 gm/mol = 32 X 10-3 kg/mol

Substitute value in above equation

root mean square speed of O2 = [[3 X(8.3145 (Kg.m2/sec2) / (K.mol)) X (293.15 K)] / [(32 X 10-3 kg/mol)]]1/2

= [228505.8 m2/s2]1/2

= 478 m/s

root mean square speed of a O2 molecule at 20°C = 478 m/s

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