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Worksheet: Graham's Law

Q1:

When two cotton plugs, one moistened with ammonia and the other with hydrochloric acid, are simultaneously inserted into opposite ends of a glass tube that is 87.0 cm long, a white ring of N H C l 4 forms where gaseous N H 3 and gaseous H C l first come into contact. Ammonia and hydrochloric acid react together according to the equation

How far from the end with ammonia would you expect the ring to form?

  • A 43.5 cm
  • B 29.0 cm
  • C 8.01 cm
  • D 51.7 cm
  • E 72.1 cm

Q2:

A balloon filled with helium gas is found to take 6.00 hours to deflate to 5 0 % of its original volume. How long will it take for an identical balloon filled with the same volume of hydrogen gas (instead of helium) to decrease its volume by 5 0 % ?

  • A 8.45 hours
  • B 3.01 hours
  • C 4.98 hours
  • D 4.26 hours
  • E 1.34 hours

Q3:

It takes 243 s for 4 . 4 6 × 1 0 mol X e to effuse through a tiny hole. Under the same conditions, how long will it take 4 . 4 6 × 1 0 mol N e to effuse?

Q4:

An equal number of moles of neon-20 and a second gas diffuse into a chamber with no change in pressure or temperature. Which of the following is a possible molecular formula for the second gas if its diffusion rate is 5 6 . 2 % lower than that of neon-20?

  • A H C l
  • B C H S 2 6
  • C N O 2
  • D S i F 4
  • E H B r O

Q5:

An equal number of moles of oxygen and hydrogen gas diffuse into a chamber with no change in pressure or temperature. By approximately what factor does the diffusion rate of oxygen differ from that of hydrogen?

  • A 1 3 2
  • B 1 1 6
  • C 1 8
  • D 1 4
  • E 1 8

Q6:

An unknown hydrocarbon gas effuses 1.66 times more rapidly than C O 2 .

What is the molar mass of the unknown gas?

What is the likely identity of the gas?

  • A C H 4
  • B C H 2 6
  • C C H 2 4
  • D C H 2 2
  • E C H 3 6

Q7:

An equal number of moles of argon and a second gas diffuse into a chamber with no change in pressure or temperature. What is the molar mass of the second gas to the nearest g/mol if its diffusion rate is 4 1 % greater than that of argon?

Q8:

What is the ratio of the rate of effusion of hydrogen to the rate of effusion of oxygen?

  • A 1 4
  • B 4 3
  • C 2 1
  • D 4 1
  • E 3 2

Q9:

An equal number of moles of nitrogen and a second gas diffuse into a chamber with no change in pressure or temperature. What is the molar mass of the second gas to the nearest g/mol if its diffusion rate is two thirds less than that of nitrogen?

Q10:

Which of the following gases diffuses faster than oxygen?

  • A N O 2
  • B C l 2
  • C H S 2
  • D C H 2 2
  • E F 2

Q11:

An equal number of moles of fluorine and helium diffuse into a chamber with no change in pressure or temperature. Calculate to 2 significant figures the diffusion rate of fluorine as a percentage of the diffusion rate of helium?

Q12:

The molecules in gas A have molecular mass 𝑀 A and an average speed 𝑣 A , while the molecules in gas B have molecular mass 𝑀 B and an average speed 𝑣 B .

If the gases are at the same temperature, how may the ratio 𝑣 / 𝑣 A B be expressed in terms of 𝑀 A and 𝑀 B ?

  • A 𝑀 𝑀 B A
  • B 𝑀 𝑀 A B
  • C 𝑀 𝑀 A B
  • D 𝑀 𝑀 B A
  • E 𝑀 𝑀 A B 2

If the temperature of gas A is doubled and the temperature of gas B remains constant, by what factor does the ratio 𝑣 / 𝑣 A B increase?

  • A 2
  • B 1 2
  • C2
  • D 1 2
  • E4