Problem: A chemist decomposes samples of several compounds; the masses of their constituent elements are listed. Calculate the empirical formula for each compound.2.677 g Ba, 3.115 g Br

FREE Expert Solution

Step 1: Calculate the %Mass of Ba and Br


We need to determine the mass percent of Ba and Br in the compound. Recall that mass percent is given by:


% Mass = mass of Xtotal mass×100


First, we calculate the total mass


Total mass = mass of Ba + mass of BrTotal mass = 2.677 g + 3.115 g


Total mass = 5.792 g


The mass percent of Ba is


%Ba = mass of Batotal mass×100%Ba =2.677 g5.792 g×100


%Ba = 46.22%


The mass percent of Br is


%Br = mass of Brtotal mass×100%Br = 3.115 g5.792 g×100


% Br = 53.78%


Step 2: Calculate the moles of Ba and Br


Assuming we have 100 g of the compound, this means we have 46.22 g Ba and 53.78 g Br. Now, we need to get the moles of each element in the compound. The atomic masses are 137.33 g/mol Ba and 79.90 g/mol Br. 


The moles of Ba in the compound is:


moles of Ba = 46.22 g Ba ×1 mol Ba137.33 g Ba


moles of Ba = 0.3366 mol Ba


The moles of Br in the compound is:


moles of Br = 53.78 g Br ×1 mol Br79.90 g Br


moles of Br = 0.6731 mol Br


Step 3: Determine the lowest whole number ratio of Ba and Br to get the empirical formula


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Problem Details

A chemist decomposes samples of several compounds; the masses of their constituent elements are listed. Calculate the empirical formula for each compound.

2.677 g Ba, 3.115 g Br

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