Questions: Part A What is the molecular formula of a compound given the molar mass of the compound is 30.04 gram and the empirical formula is NH?

Part A

What is the molecular formula of a compound given the molar mass of the compound is 30.04 gram and the empirical formula is NH?
Transcript text: Part A What is the molecular formula of a compound given the molar mass of the compound is 30.04 gram and the empirical formula is NH?
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Solution

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Solution Steps

Step 1: Determine the Empirical Formula Mass

First, we need to calculate the empirical formula mass of NH. The atomic masses are approximately:

  • Nitrogen (N): 14.01 g/mol
  • Hydrogen (H): 1.008 g/mol

The empirical formula mass of NH is: \[ 14.01 + 1.008 = 15.018 \, \text{g/mol} \]

Step 2: Calculate the Molecular Formula

To find the molecular formula, we divide the given molar mass of the compound by the empirical formula mass: \[ \frac{30.04 \, \text{g/mol}}{15.018 \, \text{g/mol}} \approx 2 \]

This result indicates that the molecular formula is two times the empirical formula.

Step 3: Determine the Molecular Formula

Since the ratio is 2, the molecular formula is: \[ (NH)_2 = N_2H_2 \]

Final Answer

\[ \boxed{\text{N}_2\text{H}_2} \]

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