Samples of O₂, N₂, CO and CO₂ under the same conditions of temperature and pressure contain the same number of molecules represented by X. The molecules of oxygen occupy V litres and have a mass of 8 g. Under the same conditions of temperature and pressure, what is the volume occupied by :
(i) X molecules of N₂.
(ii) 3X molecules of CO.
(iii) What is the mass of CO₂ in grams.
(iv) In answering the above questions, whose law has been used.
[C = 12, N = 14, O = 16]

Question

Samples of O₂, N₂, CO and CO₂ under the same conditions of temperature and pressure contain the same number of molecules represented by X. The molecules of oxygen occupy V litres and have a mass of 8 g. Under the same conditions of temperature and pressure, what is the volume occupied by :
(i) X molecules of N₂.
(ii) 3X molecules of CO.
(iii) What is the mass of CO₂ in grams.
(iv) In answering the above questions, whose law has been used.
[C = 12, N = 14, O = 16]

KnowledgeBoat · Accepted Answer

By Avogadro's law: Under the same conditions of temperature and pressure equal volumes of all gases contain the same number of molecules. If gases under the same conditions have same number of molecules then they must have the same volume. (i) So, X molecules of N₂ occupy V litres. (ii) 3X molecules of CO will occupies 3V litres. (iii) Molar mass of CO₂ = C + 2(O) = 12 + 2(16) = 44 g 1 mole of O₂ weighs 32 g and occupy 22.4 lit. volume ∴ 8 g of O₂ will occupy x 8 = 5.6 lit. vol. = Molar volume If 8 g of O₂ occupies 5.6 lit. vol. And 1 mole of CO₂ occupy 22.4 lit and weighs = 44 g at s.t.p. ∴ 5.6 lit. vol. of CO₂ will weigh = x 5.6 = 11 g Hence, mass of CO₂ = 11 g (iv) Avogadro's Law is used above.

Chemistry

Stoichiometry

Related Questions

Fill in the blank from the choices given in bracket : The number of moles in 11 g. of nitrogen gas is …………… [0.39, 0.49, 0.29] [N = 14]

(i) State the volume occupied by 40 gm. of methane at stp if it's vapour density is 8.
(ii) Calculate the number of moles present in 160 g of NaOH.
[Na = 23, H = 1, O = 16]

Define the term 'atomic weight'.

The gas law which relates the volume of a gas to the number of molecules of the gas is :
Avogadro's Law
Gay-Lussac's Law
Boyle's Law
Charles' Law