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Question: > What volume of hydrogen gas, at 273 K and 1 atm pressure will be consumed in obtaining 21.6g of el...

What volume of hydrogen gas, at 273 K and 1 atm pressure will be consumed in obtaining 21.6g of elemental boron (atomic mass = 10.8) from the reduction of boron trichloride by hydrogen?

A

89.6 L

B

67.2 L

C

44.8 L

D

22.4 L

Answer

67.2 L

Explanation

Solution

(2)

2BCl3 + 3H2 \longrightarrow2B + 6HCl

2 mol 3 mol 2 mol

21.6 g B = 2 mol B = 3 mol H2

PV =nRT

V=nRTP=3×0.0821×2731=67.2L\therefore V = \frac{nRT}{P} = \frac{3 \times 0.0821 \times 273}{1} = 67.2L