I need help with the questions

Question

1.) Which gas—hydrogen (H₂) or oxygen (O₂)—diffuses faster and at what relative rate? Both gases have the same temperature and pressure. (Round the relative rate to the nearest whole number.)

2.) A sample of helium (He) effuses 2.0 times faster than another gas. What is the molar mass of the other gas? (Let R_A = 2.0 x R_B.)

3.) What is the most likely unknown gas in the second problem? (here are the choices in my book)

a.) NH₄ b.) NO₂ c.) CH₄ d.) CO₂

Answer 1

1

H2 diffuses faster due to the smaller molar mass.

rate1/rate2 = √(molar mass 2)/(molar mass 1)

rateH2/rateO2=√32.00/2.02

rateH2/rateO2=3.98

H2 diffuses 3.98 times faster

2

rateHe/rateX=√x/molar mass He

2.0/1=√x/4

x=16 g/mol

3

c=CH4, since molar mass is 16