Balance the chemical equations
`S+HNO_3 to H_2SO_4+ NO_2 + H_2O`

Explanation

To balance the chemical equation \( S + HNO_3 \rightarrow H_2SO_4 + NO_2 + H_2O \), we need to ensure that the number of atoms of each element is the same on both sides of the equation. Here’s a step-by-step solution:

### Step 1: Write down the unbalanced equation
The unbalanced equation is:
\[ S + HNO_3 \rightarrow H_2SO_4 + NO_2 + H_2O \]

### Step 2: Count the number of atoms for each element on both sides
- **Left-hand side (LHS)**:
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