What are the coefficients in the chemical equation? $$ \mathrm{HNO}_{3}+{ }_{-} \mathrm{NaOH} \rightarrow{ }_{-} \mathrm{NaNO}_{3}+{ }_{-} \mathrm{H}_{2} \mathrm{O} $$ $$ 1,1,2,1 $$ $$ 2,2,1,3 $$ $$ 1,1,1,1 $$ $$ 1,3,1,1 $$

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We start with the given unbalanced chemical equation:

$$
\mathrm{HNO}_{3} + \mathrm{NaOH} \rightarrow \mathrm{NaNO}_{3} + \mathrm{H}_{2}\mathrm{O}
$$

**Step 1. Write the number of atoms for each element in both reactants and products.**

- **Reactants:**
  - Hydrogen ($$H$$): 
    - In $$\mathrm{HNO}_{3}$$: 1 atom
    - In $$\mathrm{NaOH}$$: 1 atom
    - Total: $$1+1=2$$ atoms
  - Nitrogen ($$N$$): 
    - In $$\mathrm{HNO}_{3}$$: 1 atom
  - Oxygen ($$O$$): 
    - In $$\mathrm{HNO}_{3}$$: 3 atoms
    - In $$\mathrm{NaOH}$$: 1 atom
    - Total: $$3+1=4$$ atoms
  - Sodium ($$Na$$): 
    - In $$\mathrm{NaOH}$$: 1 atom

- **Products:**
  - Sodium ($$Na$$):
    - In $$\mathrm{NaNO}_{3}$$: 1 atom
  - Nitrogen ($$N$$):
    - In $$\mathrm{NaNO}_{3}$$: 1 atom
  - Oxygen ($$O$$):
    - In $$\mathrm{NaNO}_{3}$$: 3 atoms
    - In $$\mathrm{H}_{2}\mathrm{O}$$: 1 atom
    - Total: $$3+1=4$$ atoms
  - Hydrogen ($$H$$):
    - In $$\mathrm{H}_{2}\mathrm{O}$$: 2 atoms

**Step 2. Balance the H atoms.**

Notice that the reactants have a total of 2 hydrogen atoms (1 from $$\mathrm{HNO}_{3}$$ and 1 from $$\mathrm{NaOH}$$) and the product $$\mathrm{H}_{2}\mathrm{O}$$ has 2 hydrogen atoms. So hydrogen is balanced as is.

**Step 3. Verify the remaining elements.**

- Sodium: 1 on both sides.
- Nitrogen: 1 on both sides.
- Oxygen: 4 on both sides.

The equation is already balanced with the coefficients:

$$
1 \quad 1 \quad 1 \quad 1
$$

Thus, the correct coefficients are:

$$
1,1,1,1
$$
The coefficients are $$1,1,1,1$$.

What are the coefficients in the chemical equation?

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