Identify the correct statements about the following stoichiometric equation.
\[
aP_4 + bOH^- + CH_2O \rightarrow dPH_3 + eH_2PO_2^-
\] [I.] \(a + b + c = 5\)
[II.] \(b + c - e = 3\)
[III.] The oxidation state of P in \(H_2PO_2^-\) is \(+1\)
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To determine oxidation states, always balance the total oxidation numbers with the overall charge of the molecule or ion.
Step 1: Analyze the given chemical equation
The given reaction is:
\[
aP_4 + bOH^- + CH_2O \rightarrow dPH_3 + eH_2PO_2^-
\]
Step 2: Understand the balancing conditions
From stoichiometric balancing:
- Statement I: \(a + b + c = 5\) is incorrect upon checking the balanced equation.
- Statement II: \(b + c - e = 3\) is found to be valid based on balancing.
- Statement III: In \(H_2PO_2^-\), using oxidation number method:
\[
(+1 \times 2) + x + (-2 \times 2) = -1 \Rightarrow 2 + x - 4 = -1 \Rightarrow x = +1
\]
So, the oxidation state of phosphorus is \(+1\), making the statement true.
Step 3: Conclusion
Only statements II and III are correct.