Math

QuestionEnter electrons as e\mathrm{e}^{-}. Use smallest possible integer coefficients. If a box is not needed, leave it blank.
For the following electron-transfer reaction: Ni( s)+Cl2( g)Ni2+(aq)+2Cl(aq)\mathrm{Ni}(\mathrm{~s})+\mathrm{Cl}_{2}(\mathrm{~g}) \longrightarrow \mathrm{Ni}^{2+}(\mathrm{aq})+2 \mathrm{Cl}^{-}(\mathrm{aq})
The oxidation half-reaction is: \square ++ \square \longrightarrow \square ++ \square
The reduction half-reaction is: \square ++ \square \longrightarrow \square ++ \square

Studdy Solution

STEP 1

What is this asking? We need to identify and write out the oxidation and reduction half-reactions for the given electron-transfer reaction. Watch out! Make sure you correctly identify which element is being oxidized and which is being reduced, and balance the charges in each half-reaction using electrons.

STEP 2

1. Assign oxidation states
2. Identify oxidation and reduction
3. Write half-reactions
4. Balance charges with electrons

STEP 3

Let's **assign oxidation states** to each element in the reaction.
Remember, pure elements have an oxidation state of **zero**.
So, Ni(s)\mathrm{Ni(s)} has an oxidation state of **zero**, and Cl2(g)\mathrm{Cl_2(g)} also has an oxidation state of **zero**.

STEP 4

In the products, Ni2+(aq)\mathrm{Ni^{2+}(aq)} has an oxidation state of **+2** (it's given right there!), and each Cl(aq)\mathrm{Cl^{-}(aq)} has an oxidation state of **-1**.

STEP 5

Now, let's see what's happening to our elements.
Nickel (Ni\mathrm{Ni}) goes from an oxidation state of **zero** to **+2**.
This increase in oxidation state means Ni\mathrm{Ni} is being **oxidized**!

STEP 6

Chlorine (Cl\mathrm{Cl}) goes from an oxidation state of **zero** to **-1**.
This decrease in oxidation state means Cl\mathrm{Cl} is being **reduced**!

STEP 7

The **oxidation half-reaction** shows what happens to the substance being oxidized.
In our case, it's nickel.
So, we write: Ni(s)Ni2+(aq) \mathrm{Ni(s)} \longrightarrow \mathrm{Ni^{2+}(aq)}

STEP 8

The **reduction half-reaction** shows what happens to the substance being reduced.
Here, it's chlorine.
So, we write: Cl2(g)2Cl(aq) \mathrm{Cl_2(g)} \longrightarrow 2\mathrm{Cl^{-}(aq)} Notice how we added a **2** in front of Cl\mathrm{Cl^{-}} to balance the number of chlorine atoms on both sides.

STEP 9

Now, we need to **balance the charges** in each half-reaction using electrons (e\mathrm{e^{-}}).
In the oxidation half-reaction, the left side has a charge of **zero**, and the right side has a charge of **+2**.
To balance this, we add **two electrons** to the right side: Ni(s)Ni2+(aq)+2e \mathrm{Ni(s)} \longrightarrow \mathrm{Ni^{2+}(aq)} + 2\mathrm{e^{-}}

STEP 10

In the reduction half-reaction, the left side has a charge of **zero**, and the right side has a charge of **-2** (two chloride ions, each with a -1 charge).
To balance this, we add **two electrons** to the left side: Cl2(g)+2e2Cl(aq) \mathrm{Cl_2(g)} + 2\mathrm{e^{-}} \longrightarrow 2\mathrm{Cl^{-}(aq)}

STEP 11

The oxidation half-reaction is: Ni( s)Ni2+(aq)+2e\mathrm{Ni}(\mathrm{~s}) \longrightarrow \mathrm{Ni}^{2+}(\mathrm{aq})+2 \mathrm{e}^{-} The reduction half-reaction is: Cl2( g)+2e2Cl(aq)\mathrm{Cl}_{2}(\mathrm{~g})+2 \mathrm{e}^{-} \longrightarrow 2 \mathrm{Cl}^{-}(\mathrm{aq})

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