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# Identify the conjugate acid in the reaction: \mathrm{NH}_{3}(g)+\mathrm{H}_{2} \mathrm{O}(l) \rightleftharpoons \mathrm{NH}_{4}^{+}(a q)+\mathrm{OH}^{-}(a q)
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Step 1:
I'll solve this step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Understand the Brønsted-Lowry acid-base definition

- A conjugate acid is formed when a base accepts a proton (H⁺) - In this reaction, we need to identify which species becomes the conjugate acid

Step 3:
: Analyze the reaction components

- Reactants: $$\mathrm{NH}_{3}(g)$$ (base) and $$\mathrm{H}_{2}\mathrm{O}(l)$$ (acid)
- Products: \mathrm{NH}_{4}^{+}(aq) and \mathrm{OH}^{-}(aq)

Step 4:
: Identify the proton transfer

- $$\mathrm{H}_{2}\mathrm{O}$$ donates a proton to $$\mathrm{NH}_{3}
- \mathrm{NH}_{4}^{+} is formed by adding a proton to \mathrm{NH}_{3}

Step 5:
: Determine the conjugate acid

- $$\mathrm{NH}_{4}^{+}$$ is the conjugate acid of the base $$\mathrm{NH}_{3}

Final Answer

The conjugate acid in this reaction is \mathrm{NH}_{4}^{+}.