Answer:
![Final\ Mass = 17.560943085g](https://img.qammunity.org/2021/formulas/chemistry/college/qvsd4gictcqztdr7tpuxk31boyme02ayyg.png)
Step-by-step explanation:
Given
![Sample\ Mass = 6.814g](https://img.qammunity.org/2021/formulas/chemistry/college/m246q0bfo5d6lde0jpqyhgx5m4rb1s70k5.png)
![Additional\ Mass = 0.08753g](https://img.qammunity.org/2021/formulas/chemistry/college/rafvtxdk6z8quulpm5734yaw8zlq1ak3bz.png)
![Yield = 7.6335](https://img.qammunity.org/2021/formulas/chemistry/college/33frck4ubb84ksabfbmwc58cgwhh4l51go.png)
Required
Determine the final mass
First we need to determine the total mass after the sample mass is added to an additional sample;
![Total\ Mass = Additional\ Mass + Sample\ Mass](https://img.qammunity.org/2021/formulas/chemistry/college/d053xucp6ob35traynmv7ulscm5p3sdkv6.png)
![Total\ Mass = 0.08753g + 6.814g](https://img.qammunity.org/2021/formulas/chemistry/college/6t90fxw4bvuny5ngr2c1riufym9czobiyc.png)
![Total\ Mass = 6.90153g](https://img.qammunity.org/2021/formulas/chemistry/college/fffk9rduieyzcte0rmentihx5dkv5vtwpx.png)
Next, divide the total mass by 3
![New\ Mass = (Total\ Mass)/(3)](https://img.qammunity.org/2021/formulas/chemistry/college/vrlwtwhbx2so8xchncobybi8o4s54i7f35.png)
![New\ Mass = (6.90153g)/(3)](https://img.qammunity.org/2021/formulas/chemistry/college/uqe8hb8gpep9tld6f84wjsy0vj41pqvqnb.png)
![New\ Mass = 2.30051g](https://img.qammunity.org/2021/formulas/chemistry/college/c7ixef2pe4q54anh5zlqee3s1y1t1a1mai.png)
The final mass is calculated as follows;
![Final\ Mass = New\ Mass * Yield](https://img.qammunity.org/2021/formulas/chemistry/college/yc08pqr8ga5ciao5ib3e4y4nmrsypgc8ic.png)
![Final\ Mass = 2.30051g * 7.6335](https://img.qammunity.org/2021/formulas/chemistry/college/qzpx939kcjqot7dfabshf9xsbdym5g7f12.png)
![Final\ Mass = 17.560943085g](https://img.qammunity.org/2021/formulas/chemistry/college/qvsd4gictcqztdr7tpuxk31boyme02ayyg.png)
Hence, the final mass is 17.560943085g