Answer:
a) The pH of the solution is 12.13.
b) The pH of the solution is 12.17.
Explanation:
Ionic product of water =![K_w=1.01\times 10^-{14}](https://tex.z-dn.net/?f=K_w%3D1.01%5Ctimes%2010%5E-%7B14%7D)
![K_w=[H^+][OH^-]](https://tex.z-dn.net/?f=K_w%3D%5BH%5E%2B%5D%5BOH%5E-%5D)
![1.01\times 10^-{14}=[H^+][OH^-]](https://tex.z-dn.net/?f=1.01%5Ctimes%2010%5E-%7B14%7D%3D%5BH%5E%2B%5D%5BOH%5E-%5D)
Taking negative logarithm on both sides:
![-\log[1.01\times 10^-{14}]=(-\log [H^+])+(-\log [OH^-])](https://tex.z-dn.net/?f=-%5Clog%5B1.01%5Ctimes%2010%5E-%7B14%7D%5D%3D%28-%5Clog%20%5BH%5E%2B%5D%29%2B%28-%5Clog%20%5BOH%5E-%5D%29)
The pH is the negative logarithm of hydrogen ion concentration in solution.
The pOH is the negative logarithm of hydroxide ion concentration in solution.
![13.99=pH+pOH](https://tex.z-dn.net/?f=13.99%3DpH%2BpOH)
a)
of NaOH.
Concentration of hydroxide ions:
![NaOH(aq)\rightarrow Na^+(aq)+OH^-(aq)](https://tex.z-dn.net/?f=NaOH%28aq%29%5Crightarrow%20Na%5E%2B%28aq%29%2BOH%5E-%28aq%29)
So, ![[OH^-]=1\times [NaOH]=1\times 1.39\times 10^{-2} M=1.39\times 10^{-2} M](https://tex.z-dn.net/?f=%5BOH%5E-%5D%3D1%5Ctimes%20%5BNaOH%5D%3D1%5Ctimes%201.39%5Ctimes%2010%5E%7B-2%7D%20M%3D1.39%5Ctimes%2010%5E%7B-2%7D%20M)
![pOH=-\log[1.39\times 10^{-2} M]=1.86](https://tex.z-dn.net/?f=pOH%3D-%5Clog%5B1.39%5Ctimes%2010%5E%7B-2%7D%20M%5D%3D1.86)
![13.99=pH+pOH](https://tex.z-dn.net/?f=13.99%3DpH%2BpOH)
![13.99=pH+1.86](https://tex.z-dn.net/?f=13.99%3DpH%2B1.86)
pH=13.99-1.86=12.13
b)
of NaOH.
Concentration of hydroxide ions:
![Al(OH)_3(aq)\rightarrow Al^{3+}(aq)+3OH^-(aq)](https://tex.z-dn.net/?f=Al%28OH%29_3%28aq%29%5Crightarrow%20Al%5E%7B3%2B%7D%28aq%29%2B3OH%5E-%28aq%29)
So, ![[OH^-]=3\times [Al(OH)_3]=3\times 0.0051 M=0.0153 M](https://tex.z-dn.net/?f=%5BOH%5E-%5D%3D3%5Ctimes%20%5BAl%28OH%29_3%5D%3D3%5Ctimes%200.0051%20M%3D0.0153%20M)
![pOH=-\log[0.0153 M]=1.82](https://tex.z-dn.net/?f=pOH%3D-%5Clog%5B0.0153%20M%5D%3D1.82)
![13.99=pH+pOH](https://tex.z-dn.net/?f=13.99%3DpH%2BpOH)
![13.99=pH+1.82](https://tex.z-dn.net/?f=13.99%3DpH%2B1.82)
pH=13.99-1.82=12.17
Answer:
3 to 5
Explanation:
The pH scale is from 0 to 14.
Acids have a pH of anything less than 7.
Anything with a pH greater than 7 is considered to be a base.
If a solution has a pH of 7, it is neutral.
3 to 5 is in the range of less than 7, so a solution of an acid can have this pH.
6 to 8 includes less than 7 , 7 and greater than 7, so it is not just in the range of an acid.
9 to 11 and 12 to 14 are both in the range of greater than 7, so they have to be bases.
Therefore, the correct answer is 3 to 5.
Answer:
V₂ = 530.5 mL
Explanation:
Given data:
Initial temperature = 20.0°C
Final temperature = 40.0 °C
Final volume = 585 mL
Initial volume = ?
Solution:
Initial temperature = 20.0°C (20+273 = 293 K)
Final temperature = 40.0 °C (40+273 = 323 K)
Solution:
The given problem will be solve through the Charles Law.
According to this law, The volume of given amount of a gas is directly proportional to its temperature at constant number of moles and pressure.
Mathematical expression:
V₁/T₁ = V₂/T₂
V₁ = Initial volume
T₁ = Initial temperature
V₂ = Final volume
T₂ = Final temperature
Now we will put the values in formula.
V₁/T₁ = V₂/T₂
V₁ = V₂T₁ /T₂
V₂ = 585 mL × 293 K / 323 K
V₂ = 171405 mL.K / 323 K
V₂ = 530.5 mL