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Boron can undergo the following reactions with the given enthalpy changes: 2B(s) + 3/2O2(g) → B2O3(s); ΔH = -1260 kJ 2B(s) + 3H2(g) → B2H6(g); ΔH = 30 kJ Assume no other reactions are occurring.

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Boron can undergo the following reactions with
the given enthalpy changes:

2B(s) + 3/2O2(g) → B2O3(s); ΔH = -1260 kJ

2B(s) + 3H2(g) → B2H6(g); ΔH = 30 kJ

Assume no other reactions are occurring.

If in a container (operating at constant pressure) which is isolated from the surrounding, mixture of H2(gas) and O2(gas) are passed over excess of B(s), then calculate the molar ratio (O2 : H2) so that temperature of the container do not change :

(a) 15 : 3

(b) 42 : 1

(c) 1 : 42

(d) 1 : 84

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Correct answer: (d) 1 : 84

Explanation:

No. of moles of O2 required to supplied 30 kJ heat to second reaction

= \(\frac{30}{1260}\) x \(\frac{3}{2}\) = \(\frac{1}{28}\)

nO2 : nH2 = \(\frac{1}{28}\) : 3

or 1 : 84

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