Answer:
The answer to your question is P = 1.357 atm
Explanation:
Data
Volume = 22.4 L
1 mol
temperature = 100°C
a = 0.211 L² atm
b = 0.0171 L/mol
R = 0.082 atmL/mol°K
Convert temperature to °K
Temperature = 100 + 273
= 373°K
Formula
![(P + \frac{a}{v^{2}} )(v - b) = RT](https://tex.z-dn.net/?f=%28P%20%2B%20%5Cfrac%7Ba%7D%7Bv%5E%7B2%7D%7D%20%29%28v%20-%20b%29%20%3D%20RT)
Substitution
![(P + \frac{0.211}{22.4})(22.4 - 0.0171) = (0.082)(373)](https://tex.z-dn.net/?f=%28P%20%2B%20%5Cfrac%7B0.211%7D%7B22.4%7D%29%2822.4%20-%200.0171%29%20%3D%20%280.082%29%28373%29)
Simplify
(P + 0.0094)(22.3829) = 30.586
Solve for P
P + 0.0094 = ![\frac{30.586}{22.3829}](https://tex.z-dn.net/?f=%5Cfrac%7B30.586%7D%7B22.3829%7D)
P + 0.0094 = 1.366
P = 1.336 - 0.0094
P = 1.357 atm
Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.
We have the following equation representing the half-life decay:
![A=A_o\times2^{(-\frac{t}{t_{half}})_{}_{}}](https://tex.z-dn.net/?f=A%3DA_o%5Ctimes2%5E%7B%28-%5Cfrac%7Bt%7D%7Bt_%7Bhalf%7D%7D%29_%7B%7D_%7B%7D%7D)
A is the resulting amount after t time
Ao is the initial amount = 50 mg
t= Elapsed time
t half is the half-life of the substance = 14.3 days
We replace the know values into the equation to have an exponential decay function for a 50mg sample
![A=\text{ 50 }\times2^{\frac{-t}{14.3}}](https://tex.z-dn.net/?f=A%3D%5Ctext%7B%2050%20%7D%5Ctimes2%5E%7B%5Cfrac%7B-t%7D%7B14.3%7D%7D)
That would be the answer for a)
To know the P-32 remaining after 84 days we have to replace this value in the equation:
![\begin{gathered} A=\text{ 50 }\times2^{\frac{-84}{14.3}} \\ A=0.85\text{ mg} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Ctext%7B%2050%20%7D%5Ctimes2%5E%7B%5Cfrac%7B-84%7D%7B14.3%7D%7D%20%5C%5C%20A%3D0.85%5Ctext%7B%20mg%7D%20%5Cend%7Bgathered%7D)
So, after 84 days the P-32 remaining will be 0.85 mg
Answer:
a) The relationship at equivalence is that 1 mole of phosphoric acid will need three moles of sodium hydroxide.
b) 0.0035 mole
c) 0.166 M
Explanation:
Phosphoric acid is tripotic because it has 3 acidic hydrogen atom surrounding it.
The equation of the reaction is expressed as:
![H_3PO_4 \ + \ 3NaOH -----> Na_3 PO_4 \ + \ 3H_2O](https://tex.z-dn.net/?f=H_3PO_4%20%5C%20%2B%20%5C%203NaOH%20-----%3E%20Na_3%20PO_4%20%5C%20%2B%20%5C%203H_2O)
1 mole 3 mole
The relationship at equivalence is that 1 mole of phosphoric acid will need three moles of sodium hydroxide.
b) if 10.00 mL of a phosphoric acid solution required the addition of 17.50 mL of a 0.200 M NaOH(aq) to reach the endpoint; Then the molarity of the solution is calculated as follows
![H_3PO_4 \ + \ 3NaOH -----> Na_3 PO_4 \ + \ 3H_2O](https://tex.z-dn.net/?f=H_3PO_4%20%5C%20%2B%20%5C%203NaOH%20-----%3E%20Na_3%20PO_4%20%5C%20%2B%20%5C%203H_2O)
10 ml 17.50 ml
(x) M 0.200 M
Molarity = ![\frac{0.2*17.5}{1000}](https://tex.z-dn.net/?f=%5Cfrac%7B0.2%2A17.5%7D%7B1000%7D)
= 0.0035 mole
c) What was the molar concentration of phosphoric acid in the original stock solution?
By stoichiometry, converting moles of NaOH to H₃PO₄; we have
= ![0.0035 \ mole \ of NaOH* \frac{1 mole of H_3PO_4}{3 \ mole \ of \ NaOH}](https://tex.z-dn.net/?f=0.0035%20%5C%20mole%20%5C%20of%20NaOH%2A%20%5Cfrac%7B1%20mole%20of%20H_3PO_4%7D%7B3%20%5C%20mole%20%5C%20of%20%5C%20NaOH%7D)
= 0.00166 mole of H₃PO₄
Using the molarity equation to determine the molar concentration of phosphoric acid in the original stock solution; we have:
Molar Concentration = ![\frac{mole \ \ of \ soulte }{ Volume \ of \ solution }](https://tex.z-dn.net/?f=%5Cfrac%7Bmole%20%5C%20%5C%20of%20%5C%20soulte%20%7D%7B%20Volume%20%5C%20of%20%5C%20solution%20%7D)
Molar Concentration = ![\frac{0.00166 \ mole \ of \ H_3PO_4 }{10}*1000](https://tex.z-dn.net/?f=%5Cfrac%7B0.00166%20%5C%20mole%20%5C%20of%20%5C%20%20H_3PO_4%20%7D%7B10%7D%2A1000)
Molar Concentration = 0.166 M
∴ the molar concentration of phosphoric acid in the original stock solution = 0.166 M
Hi there!
Zinc: Is qualitative
Chlorine: is quantitative
Gallium: is neither
Nitrogen: is quantitative
Aluminum: is quantitative
If you need an explanation, please let me know !
Hope this helps and have a good day :) !
~Angel
MgBr2 is the chemical formula for magnesium bromide