Answer:
2.1 atm is the partial pressure of gas C.
Step-by-step explanation:
to calculate partial pressure of gas C we will use Dalton's law.
According to the Dalton's law, the total pressure of the gas is equal to the sum of the partial pressure of the mixture of gasses.
![P_T=p_(1)+p_(2)+p_(3)...p_(n)](https://img.qammunity.org/2020/formulas/chemistry/college/qr29rxrxub1i5v3d7v70m6e4so0vfoe64t.png)
where,
= Total pressure
= partial pressure of gas-1
= partial pressure of gas-2
= partial pressure of gas-3
= partial pressure of nth gas in the mixture
We have:
![P_T= 7.47 atm](https://img.qammunity.org/2020/formulas/chemistry/college/dvhd43mkdhjdv9aibp6sliidfg92ssly4k.png)
![p_(A)=1.59 atm](https://img.qammunity.org/2020/formulas/chemistry/college/ktotk8esrsg12m264idcwapktr7u737w19.png)
![p_(B)=3.78 atm](https://img.qammunity.org/2020/formulas/chemistry/college/5yx3z6ydsr0jg7bm339xlhh2316h0kw4gy.png)
![p_(C)=?](https://img.qammunity.org/2020/formulas/chemistry/college/hv3biv7qcduzal6yi0i0rc46xdrun05j2e.png)
Now put all the given values is expression, we get the partial pressure of the
gas.
![P_T=p_(A)+p_(B)+p_(C)](https://img.qammunity.org/2020/formulas/chemistry/college/3yvnpk16ucpp6f57zuh3fie6nf56a065p8.png)
![7.47 atm=1.59 atm+3.78 atm+p_(C)](https://img.qammunity.org/2020/formulas/chemistry/college/ekf6t9smc8mpm7r4rzn2wv1rqjmkzpvshk.png)
![p_(C)=2.1 atm](https://img.qammunity.org/2020/formulas/chemistry/college/37ki8pr0bismvew7rqmjg1e99l5fsl2fnq.png)
2.1 atm is the partial pressure of gas C.