Determine the empirical formula for a compound that has the following analysis: a 13.07 g sample of an unknown substance is composed of 9.48 g of barium, 1.66 g of carbon, and 1.93 g of nitrogen

Empirical Formula for given compound Ba1C2N2.

Explanation:

Step 1; convert the mass of each element into their molar values by dividing available mass by molar masses.

Molar masses of required elements are as follows; Ba- 137.327, C- 12, N- 14.

Step 2; Divide all the values by the smallest mole value. For given compound  after dividing the masses by molar masses we get 0.0690, 0.1383, 0.1378 for elements Ba, C, N respectively. Divide all three values with the least value which is 0.0690 and note these values.

Step 3; Convert all the numbers available into whole numbers by multiplying with suitable values. i.e. 3 if values are 0.33, 2 if values are 0.5 etc.  

Step 4; Assign these values to corresponding elements and you will get the above empirical formula.

a is the correct answer