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Calculate the molar mass of \( \mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2} \) \( 199.3 \mathrm{~g} / \mathrm{mol} \) \( 261.3 \mathrm{~g} / \mathrm{mol} \) \( 398.6 \mathrm{~g} / \mathrm{mol} \) \( 323.3 \mathrm{~g} / \mathrm{mol} \) \( 247.3 \mathrm{~g} / \mathrm{mol} \)

Ask by Chavez Stewart. in the United States
Feb 25,2025

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Tutor-Verified Answer

Answer

The molar mass of Ba(NO₃)₂ is 261.3 g/mol.

Solution

To calculate the molar mass of Ba(NO₃)₂, follow these steps: 1. Determine the atomic masses: - Barium (Ba) ≈ 137.3 g/mol - Nitrogen (N) ≈ 14.0 g/mol - Oxygen (O) ≈ 16.0 g/mol 2. Write the formula: Ba(NO₃)₂. This contains: - 1 Ba atom, - 2 N atoms (since there are 2 NO₃ groups), and - 6 O atoms (each NO₃ group contains 3 O atoms, and there are 2 groups). 3. Calculate the molar mass contributions: - Ba: 1 × 137.3 g/mol = 137.3 g/mol - N: 2 × 14.0 g/mol = 28.0 g/mol - O: 6 × 16.0 g/mol = 96.0 g/mol 4. Sum these amounts: 137.3 + 28.0 + 96.0 = 261.3 g/mol Thus, the molar mass of Ba(NO₃)₂ is 261.3 g/mol.

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The Deep Dive

To calculate the molar mass of \( \mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2} \), we first identify the individual atomic masses from the periodic table: - Barium (Ba): approximately 137.3 g/mol - Nitrogen (N): approximately 14.0 g/mol (and there are 2 N atoms in the formula) - Oxygen (O): approximately 16.0 g/mol (and there are 6 O atoms in the formula, since there are two nitrate ions) Now we can sum up the mass contributions: - Molar mass of Ba: \( 137.3 \, \text{g/mol} \) - Molar mass of Nitrogen in 2 nitrate: \( 2 \times 14.0 \, \text{g/mol} = 28.0 \, \text{g/mol} \) - Molar mass of Oxygen in 6 oxygen: \( 6 \times 16.0 \, \text{g/mol} = 96.0 \, \text{g/mol} \) Adding these together: \[ 137.3 \, \text{g/mol} + 28.0 \, \text{g/mol} + 96.0 \, \text{g/mol} = 261.3 \, \text{g/mol} \] So, the molar mass of \( \mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2} \) is \( 261.3 \, \text{g/mol} \). And that’s the answer!

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