Boron can undergo the following reactions with the given enthalpy changes : math xmlns=http://ww...

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Boron can undergo the following reactions with the given enthalpy changes :
math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymtablemtrmtdmn2/mnmo /momi mathvariant=normalB/mimo(/momis/mimo)/momo+/momfracmn3/mnmn2/mn/mfracmsubmi mathvariant=normalO/mimn2/mn/msubmo(/momig/mimo)/momo⟶/momsubmi mathvariant=normalB/mimn2/mn/msubmsubmi mathvariant=normalO/mimn3/mn/msubmo(/momis/mimo)/momo;/momiΔ/mimiH/mimo=/momo-/momn1260/mnmo /momikJ/mi/mtd/mtrmtrmtdmn2/mnmo /momi mathvariant=normalB/mimo(/momis/mimo)/momo+/momn3/mnmsubmi mathvariant=normalH/mimn2/mn/msubmo(/momig/mimo)/momo⟶/momsubmi mathvariant=normalB/mimn2/mn/msubmsubmi mathvariant=normalH/mimn6/mn/msubmo(/momig/mimo)/momo;/momiΔ/mimiH/mimo=/momn30/mnmo /momikJ/mi/mtd/mtr/mtable/math
Assume no other reactions are occurring.
If in a container (operating at constant pressure) which is isolated from the surrounding, mixture of \( \mathrm{H}_{2} \) (gas) and \( \mathrm{O}_{2} \) (gas) are passed over excess of \( \mathrm{B}(s) \), then calculate the molar ratio \( \left(\mathrm{O}_{2}: \mathrm{H}_{2}\right) \) 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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