Chemistry, asked by saiprateek2979, 10 months ago

Balance the following equation in basic medium by ion electron method and oxidation number methods and identify the oxidising agent and the reducing agent: P_{4}(s)+OH^{-}(aq)\longrightarrow PH_{3}(g)+HPO_{2}^{-}(aq)

Answers

Answered by phillipinestest
12

Reaction skeleton

{ P }_{ 4 }\quad +\quad { OH }^{ - }\quad +\quad { H }_{ 2 }O\quad \rightarrow \quad { PH }_{ 3 }\quad +\quad { H }_{ 2 }{ PO }_{ 2 }^{ - }

Assign oxidation number

{ P }_{ 4 }^{ 0 }\quad +\quad { O }^{ -2 }{ H }^{ +1- }\quad +\quad { H }_{ 2 }^{ +1 }{ O }^{ -2 }\quad \rightarrow \quad { P }^{ -3 }{ H }_{ 3 }^{ +1 }\quad +\quad { H }_{ 2 }^{ +1 }{ P }^{ +1 }{ O }_{ 2 }^{ -2- }

Identify redox couple in the reaction

O:\quad { P }_{ 4 }^{ 0 }\quad \rightarrow \quad { H }_{ 2 }^{ +1 }{ P }^{ +1 }{ O }_{ 2 }^{ -2- }

R:\quad { P }_{ 4 }^{ 0 }\quad \rightarrow \quad { P }^{ -3 }{ H }_{ 3 }^{ +1 }

Combine redox reactions

O:\quad { P }_{ 4 }^{ 0 }\quad \rightarrow \quad { H }_{ 2 }^{ +1 }{ P }^{ +1 }{ O }_{ 2 }^{ -2- }

R:\quad { P }_{ 4 }^{ 0 }\quad \rightarrow \quad { P }^{ -3 }{ H }_{ 3 }^{ +1 }

Balance all atoms except hydrogen and oxygen

O:\quad { P }_{ 4 }\quad \rightarrow \quad 4{ H }_{ 2 }{ PO }_{ 2 }^{ - }

R:\quad { P }_{ 4 }\quad \rightarrow \quad 4{ PH }_{ 3 }

Balance oxygen atoms

O:\quad { P }_{ 4 }\quad +\quad 8{ H }_{ 2 }O\quad \rightarrow \quad 4{ H }_{ 2 }{ PO }_{ 2 }^{ - }

R:\quad { P }_{ 4 }\quad \rightarrow \quad 4{ PH }_{ 3 }

Balance hydrogen atoms

O:\quad { P }_{ 4 }\quad +\quad 8{ H }_{ 2 }O\quad \rightarrow \quad 4{ H }_{ 2 }{ PO }_{ 2 }^{ - }\quad +\quad 8{ H }^{ + }

R:\quad { P }_{ 4 }\quad +\quad { 12H }^{ + }\quad \rightarrow \quad 4{ PH }_{ 3 }

For basic medium reaction add OH- on either side

O:\quad { P }_{ 4 }\quad +\quad 8{ H }_{ 2 }O\quad +\quad 8{ OH }^{ - }\quad \rightarrow \quad 4{ H }_{ 2 }{ PO }_{ 2 }^{ - }\quad +\quad 8{ H }^{ + }

R:\quad { P }_{ 4 }\quad +\quad 12{ H }_{ 2 }O\quad \rightarrow \quad 4{ PH }_{ 3 }\quad +\quad 12{ OH }^{ - }

Balance the charge on both sides

O:\quad { P }_{ 4 }\quad +\quad 8{ H }_{ 2 }O\quad +\quad 8{ OH }^{ - }\quad \rightarrow \quad 4{ H }_{ 2 }{ PO }_{ 2 }^{ - }\quad +\quad 8{ H }_{ 2 }O\quad +\quad 4{ e }^{ - }

R:\quad { P }_{ 4 }\quad +\quad 12{ H }_{ 2 }O\quad +\quad 12{ e }^{ - }\quad \rightarrow \quad 4{ PH }_{ 3 }\quad +\quad 12{ OH }^{ - }

Make electron gain and electron lost

O:\quad { P }_{ 4 }\quad +\quad 8{ H }_{ 2 }O\quad +\quad 8{ OH }^{ - }\quad \rightarrow \quad 4{ H }_{ 2 }{ PO }_{ 2 }^{ - }\quad +\quad 8{ H }_{ 2 }O\quad +\quad 4{ e }^{ - }

R:\quad { P }_{ 4 }\quad +\quad 12{ H }_{ 2 }O\quad +\quad 12{ e }^{ - }\quad \rightarrow \quad 4{ PH }_{ 3 }\quad +\quad 12{ OH }^{ - }

O:\quad 3{ P }_{ 4 }\quad +\quad 24{ H }_{ 2 }O\quad +\quad 24{ OH }^{ - }\quad \rightarrow \quad 12{ H }_{ 2 }{ PO }_{ 2 }^{ - }\quad +\quad 24{ H }_{ 2 }O\quad +\quad 12{ e }^{ - }

R:\quad { P }_{ 4 }\quad +\quad 12{ H }_{ 2 }O\quad +\quad 12{ e }^{ - }\quad \rightarrow \quad 4{ PH }_{ 3 }\quad +\quad 12{ OH }^{ - }

Add half reactions together

4{ P }_{ 4 }\quad +\quad 36{ H }_{ 2 }O\quad +\quad 24{ OH }^{ - }\quad +\quad 12{ e }^{ - }\quad \rightarrow \quad 12{ H }_{ 2 }{ PO }_{ 2 }^{ - }\quad +\quad 4{ PH }_{ 3 }\quad +\quad 24{ H }_{ 2 }O\quad +\quad 12{ OH }^{ - }\quad +\quad 12{ e }^{ - }

Simplifying the equation, we get

{ P }_{ 4 }\quad +\quad 3{ H }_{ 2 }O\quad +\quad 3{ OH }^{ - }\quad \rightarrow \quad 3{ H }_{ 2 }{ PO }_{ 2 }^{ - }\quad +\quad { PH }_{ 3 }


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0

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