Here's the solution using a method commonly found in chemistry textbooks, breaking down the steps to calculate the oxidation state.
Given:
- Current (I) = 3.0 A
- Time (t) = 4 hours
- Mass of tin deposited (mSn) = 26.6 g
- Molar mass of tin (MSn) = 119 g/mol
- Faraday's constant (F) = 96500 C/mol
Goal: Determine the oxidation state of tin, which is the number of electrons (z) involved in the reduction of tin ions to tin metal. The general half-reaction is Snz++ze−→Sn(s).
Step 1: Convert time from hours to seconds.
t=4hours×1hour60minutes×1minute60seconds
t=14400 s
Step 2: Calculate the total quantity of electricity (charge, Q) passed.
The formula for charge is Q=I×t.
Q=3.0A×14400 s
Q=43200 C
Step 3: Calculate the moles of tin (Sn) deposited.
The formula for moles is n=molarmassmass.
nSn=119g/mol26.6g
nSn≈0.223529 mol
Step 4: Calculate the moles of electrons (ne) transferred.
One mole of electrons carries a charge equal to Faraday's constant (F).
ne=FQ
ne=96500C/mol43200C
ne≈0.447668 mol
Step 5: Determine the oxidation state (z) of tin.
From the half-reaction Snz++ze−→Sn(s), we know that z moles of electrons are required to deposit 1 mole of tin. Therefore, the ratio of moles of electrons to moles of tin gives the oxidation state.
z=nSnne
z=0.223529mol0.447668mol
z≈2.0027
Rounding to the nearest whole number, as oxidation states are typically integers:
z=2
The oxidation state of tin in the salt is ∗+2∗.