Answer : The partial pressure of
and
are, 84 torr and 778 torr respectively.
Explanation : Given,
Mass of
= 15.0 g
Mass of
= 22.6 g
Molar mass of
= 197.4 g/mole
Molar mass of
= 32 g/mole
First we have to calculate the moles of
and
.
![\text{Moles of }C_2HBrClF_3=\frac{\text{Mass of }C_2HBrClF_3}{\text{Molar mass of }C_2HBrClF_3}=\frac{15.0g}{197.4g/mole}=0.0759mole](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DC_2HBrClF_3%3D%5Cfrac%7B%5Ctext%7BMass%20of%20%7DC_2HBrClF_3%7D%7B%5Ctext%7BMolar%20mass%20of%20%7DC_2HBrClF_3%7D%3D%5Cfrac%7B15.0g%7D%7B197.4g%2Fmole%7D%3D0.0759mole)
and,
![\text{Moles of }O_2=\frac{\text{Mass of }O_2}{\text{Molar mass of }O_2}=\frac{22.6g}{32g/mole}=0.706mole](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DO_2%3D%5Cfrac%7B%5Ctext%7BMass%20of%20%7DO_2%7D%7B%5Ctext%7BMolar%20mass%20of%20%7DO_2%7D%3D%5Cfrac%7B22.6g%7D%7B32g%2Fmole%7D%3D0.706mole)
Now we have to calculate the mole fraction of
and
.
![\text{Mole fraction of }C_2HBrClF_3=\frac{\text{Moles of }C_2HBrClF_3}{\text{Moles of }C_2HBrClF_3+\text{Moles of }O_2}=\frac{0.0759}{0.0759+0.706}=0.0971](https://tex.z-dn.net/?f=%5Ctext%7BMole%20fraction%20of%20%7DC_2HBrClF_3%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20%7DC_2HBrClF_3%7D%7B%5Ctext%7BMoles%20of%20%7DC_2HBrClF_3%2B%5Ctext%7BMoles%20of%20%7DO_2%7D%3D%5Cfrac%7B0.0759%7D%7B0.0759%2B0.706%7D%3D0.0971)
and,
![\text{Mole fraction of }O_2=\frac{\text{Moles of }O_2}{\text{Moles of }C_2HBrClF_3+\text{Moles of }O_2}=\frac{0.706}{0.0759+0.706}=0.903](https://tex.z-dn.net/?f=%5Ctext%7BMole%20fraction%20of%20%7DO_2%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20%7DO_2%7D%7B%5Ctext%7BMoles%20of%20%7DC_2HBrClF_3%2B%5Ctext%7BMoles%20of%20%7DO_2%7D%3D%5Cfrac%7B0.706%7D%7B0.0759%2B0.706%7D%3D0.903)
Now we have to partial pressure of
and
.
According to the Raoult's law,
![p^o=X\times p_T](https://tex.z-dn.net/?f=p%5Eo%3DX%5Ctimes%20p_T)
where,
= partial pressure of gas
= total pressure of gas
= mole fraction of gas
![p_{C_2HBrClF_3}=X_{C_2HBrClF_3}\times p_T](https://tex.z-dn.net/?f=p_%7BC_2HBrClF_3%7D%3DX_%7BC_2HBrClF_3%7D%5Ctimes%20p_T)
![p_{C_2HBrClF_3}=0.0971\times 862torr=84torr](https://tex.z-dn.net/?f=p_%7BC_2HBrClF_3%7D%3D0.0971%5Ctimes%20862torr%3D84torr)
and,
![p_{O_2}=X_{O_2}\times p_T](https://tex.z-dn.net/?f=p_%7BO_2%7D%3DX_%7BO_2%7D%5Ctimes%20p_T)
![p_{O_2}=0.903\times 862torr=778torr](https://tex.z-dn.net/?f=p_%7BO_2%7D%3D0.903%5Ctimes%20862torr%3D778torr)
Therefore, the partial pressure of
and
are, 84 torr and 778 torr respectively.
The weight on earth of a book with a mass of 16 kg will be 65N
<h2>
Answer:</h2>
Average atomic mass of an element is the sum of the masses of its isotopes each multiplied by its natural abundance
![\footnotesize \longrightarrow \: \rm Average \: atomic \: mass = \dfrac{ \sum\limits \: \% age \: of \: each \: isotope \times Atomic \: mass }{100} \\](https://tex.z-dn.net/?f=%5Cfootnotesize%20%5Clongrightarrow%20%5C%3A%20%20%5Crm%20Average%20%5C%3A%20%20atomic%20%20%5C%3A%20mass%20%3D%20%20%5Cdfrac%7B%20%5Csum%5Climits%20%5C%3A%20%5C%25%20age%20%5C%3A%20of%20%5C%3A%20each%20%5C%3A%20isotope%20%5Ctimes%20Atomic%20%20%5C%3A%20mass%20%7D%7B100%7D%20%5C%5C%20)
![\footnotesize \longrightarrow \: \rm Average \: atomic \: mass = \dfrac{ 72 \times84.9 + 28 \times 87 }{100} \\](https://tex.z-dn.net/?f=%5Cfootnotesize%20%5Clongrightarrow%20%5C%3A%20%20%5Crm%20Average%20%5C%3A%20%20atomic%20%20%5C%3A%20mass%20%3D%20%20%5Cdfrac%7B%2072%20%5Ctimes84.9%20%2B%2028%20%5Ctimes%2087%20%20%7D%7B100%7D%20%5C%5C%20)
![\footnotesize \longrightarrow \: \rm Average \: atomic \: mass = \dfrac{ 6112.8 + 2436 }{100} \\](https://tex.z-dn.net/?f=%5Cfootnotesize%20%5Clongrightarrow%20%5C%3A%20%20%5Crm%20Average%20%5C%3A%20%20atomic%20%20%5C%3A%20mass%20%3D%20%20%5Cdfrac%7B%206112.8%20%2B%202436%20%20%7D%7B100%7D%20%5C%5C%20)
![\footnotesize \longrightarrow \: \rm Average \: atomic \: mass = \dfrac{ 8548.8 }{100} \\](https://tex.z-dn.net/?f=%5Cfootnotesize%20%5Clongrightarrow%20%5C%3A%20%20%5Crm%20Average%20%5C%3A%20%20atomic%20%20%5C%3A%20mass%20%3D%20%20%5Cdfrac%7B%208548.8%20%20%7D%7B100%7D%20%5C%5C%20)
![\footnotesize \longrightarrow \: \bf Average \: atomic \: mass = 85.488 \: amu \\](https://tex.z-dn.net/?f=%5Cfootnotesize%20%5Clongrightarrow%20%5C%3A%20%20%5Cbf%20Average%20%5C%3A%20%20atomic%20%20%5C%3A%20mass%20%3D%20%2085.488%20%5C%3A%20amu%20%20%5C%5C)