Math

QuestionFinding the conjugate of an acid or base
Fill in the missing chemical formulae in the tables below. \begin{tabular}{|c|c|} \hline acid & conjugate base \\ \hline NH4+\mathrm{NH}_{4}^{+} & \square \\ \hline H2CO3\mathrm{H}_{2} \mathrm{CO}_{3} & \square \\ \hline HI & \square \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline base & conjugate acid \\ \hline HPO42\mathrm{HPO}_{4}^{2-} & \square \\ \hline H2PO4\mathrm{H}_{2} \mathrm{PO}_{4}^{-} & \square \\ \hline NH3\mathrm{NH}_{3} & \square \\ \hline \end{tabular}

Studdy Solution

STEP 1

What is this asking? We need to find the conjugate bases of some acids and the conjugate acids of some bases. Watch out! Remember, a conjugate base is formed when an acid loses a proton (H+H^{+}), and a conjugate acid is formed when a base gains a proton (H+H^{+}).
Don't accidentally add or subtract other atoms!

STEP 2

1. Conjugate Bases
2. Conjugate Acids

STEP 3

Let's **start** with NH4+\mathrm{NH}_{4}^{+}.
To find its conjugate base, we **remove** one H+H^{+}.
So, NH4+H+=NH3\mathrm{NH}_{4}^{+} - H^{+} = \mathrm{NH}_{3}.
The **conjugate base** of NH4+\mathrm{NH}_{4}^{+} is NH3\mathrm{NH}_{3}!

STEP 4

Next up is H2CO3\mathrm{H}_{2}\mathrm{CO}_{3}. **Removing** one H+H^{+} gives us H2CO3H+=HCO3\mathrm{H}_{2}\mathrm{CO}_{3} - H^{+} = \mathrm{HCO}_{3}^{-}.
The **conjugate base** of H2CO3\mathrm{H}_{2}\mathrm{CO}_{3} is HCO3\mathrm{HCO}_{3}^{-}!

STEP 5

Finally, we have HI. **Subtracting** an H+H^{+} gives us HIH+=IHI - H^{+} = I^{-}.
The **conjugate base** of HI is II^{-}!

STEP 6

Now, let's find the conjugate acids.
We'll **begin** with HPO42\mathrm{HPO}_{4}^{2-}.
To find its conjugate acid, we **add** one H+H^{+}.
So, HPO42+H+=H2PO4\mathrm{HPO}_{4}^{2-} + H^{+} = \mathrm{H}_{2}\mathrm{PO}_{4}^{-}.
The **conjugate acid** of HPO42\mathrm{HPO}_{4}^{2-} is H2PO4\mathrm{H}_{2}\mathrm{PO}_{4}^{-}!

STEP 7

Next, we have H2PO4\mathrm{H}_{2}\mathrm{PO}_{4}^{-}. **Adding** one H+H^{+} gives us H2PO4+H+=H3PO4\mathrm{H}_{2}\mathrm{PO}_{4}^{-} + H^{+} = \mathrm{H}_{3}\mathrm{PO}_{4}.
The **conjugate acid** of H2PO4\mathrm{H}_{2}\mathrm{PO}_{4}^{-} is H3PO4\mathrm{H}_{3}\mathrm{PO}_{4}!

STEP 8

Lastly, we have NH3\mathrm{NH}_{3}. **Adding** an H+H^{+} gives us NH3+H+=NH4+\mathrm{NH}_{3} + H^{+} = \mathrm{NH}_{4}^{+}.
The **conjugate acid** of NH3\mathrm{NH}_{3} is NH4+\mathrm{NH}_{4}^{+}!

STEP 9

The completed table should look like this:
Acid | Conjugate Base ---|--- NH4+\mathrm{NH}_{4}^{+} | NH3\mathrm{NH}_{3} H2CO3\mathrm{H}_{2} \mathrm{CO}_{3} | HCO3\mathrm{HCO}_{3}^{-} HI | II^{-}
Base | Conjugate Acid ---|--- HPO42\mathrm{HPO}_{4}^{2-} | H2PO4\mathrm{H}_{2}\mathrm{PO}_{4}^{-} H2PO4\mathrm{H}_{2} \mathrm{PO}_{4}^{-} | H3PO4\mathrm{H}_{3}\mathrm{PO}_{4} NH3\mathrm{NH}_{3} | NH4+\mathrm{NH}_{4}^{+}

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