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When BaBr2 is heated in a stream of chlorine, it is completely converted to BaCl2. From 1.50g of BaBr2, just 1.05g of BaCl2 is obtained. Calculate the atomic weight of Ba from this data
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Calculation of the atomic weight of Ba

Given:
- Mass of BaBr2 = 1.50g
- Mass of BaCl2 obtained = 1.05g

To calculate the atomic weight of Ba, we need to use the concept of stoichiometry. Stoichiometry is the study of the quantitative relationships between reactants and products in a chemical reaction.

Step 1: Write the balanced chemical equation
The given reaction can be represented as:
BaBr2 + Cl2 → BaCl2 + Br2

Step 2: Calculate the molar mass of BaBr2 and BaCl2
- Molar mass of BaBr2 = molar mass of Ba + 2 * molar mass of Br = 137.33 g/mol + 2 * 79.90 g/mol = 297.13 g/mol
- Molar mass of BaCl2 = molar mass of Ba + 2 * molar mass of Cl = 137.33 g/mol + 2 * 35.45 g/mol = 208.23 g/mol

Step 3: Calculate the number of moles of BaBr2
Number of moles = Mass / Molar mass
Number of moles of BaBr2 = 1.50g / 297.13 g/mol = 0.00505 mol

Step 4: Determine the stoichiometry
From the balanced equation, we can see that 1 mole of BaBr2 reacts to form 1 mole of BaCl2. Therefore, the number of moles of BaCl2 formed will also be 0.00505 mol.

Step 5: Calculate the molar mass of Ba
Molar mass of Ba = Mass / Number of moles
Molar mass of Ba = 1.05g / 0.00505 mol = 207.92 g/mol

Conclusion:
The atomic weight of Ba, also known as the molar mass, is calculated to be 207.92 g/mol based on the given data. This value represents the average mass of one mole of Ba atoms. The calculation involved determining the number of moles of BaBr2 and BaCl2 using their respective molar masses and then using the stoichiometry of the balanced equation to relate the two. The obtained molar mass of Ba is consistent with the accepted atomic weight of 137.33 g/mol.
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?When BaBr2 is heated in a stream of chlorine, it is completely converted to BaCl2. From 1.50g of BaBr2, just 1.05g of BaCl2 is obtained. Calculate the atomic weight of Ba from this data
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