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Chemistry

Calculate the no. of moles and the no. of molecules present in 1.4 g of ethylene gas (C2H4). What is the vol. occupied by the same amount of C2H4. State the vapour density of C2H4.

(Avog. No. = 6 × 1023 ; C = 12, H = 1]

Stoichiometry

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Answer

Gram molecular mass of C2H4
= 2(12) + 4(1)
= 24 + 4 = 28 g

As,

28 g of C2H4 = 1 mole
∴ 1.4 g of C2H4 = 128\dfrac{1}{28} x 1.4 = 0.05 moles

1 mole = 6 × 1023 molecules
∴ 0.05 moles = 6 × 1023 x 0.05 = 3 x 1022 molecules

Hence, no. of moles is 0.05 and no. of molecules is 3 x 1022.

Vol. occupied by 1 mole = 22.4 lit
∴ Vol. occupied by 0.05 moles = 22.4 x 0.05 = 1.12 lit.

Vapour density=Molecular weight2=282=14\text{Vapour density} = \dfrac{\text{Molecular weight}}{2} = \dfrac{28}{2} = 14

Hence, vol. occupied is 1.12 lit and vapour density is 14

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