Image C is adhesion stronger and Image D is cohesion stronger
Answer:
of HA is 6.80
Explanation:
![pK_{a}=-logK_{a}](https://tex.z-dn.net/?f=pK_%7Ba%7D%3D-logK_%7Ba%7D)
Acid dissociation constant (
) of HA is represented as-
![K_{a}=\frac{[H^{+}][A^{-}]}{[HA]}](https://tex.z-dn.net/?f=K_%7Ba%7D%3D%5Cfrac%7B%5BH%5E%7B%2B%7D%5D%5BA%5E%7B-%7D%5D%7D%7B%5BHA%5D%7D)
Where species inside third bracket represents equilibrium concentrations
Now, plug in all the given equilibrium concentration into above equation-
![K_{a}=\frac{(2.00\times 10^{-4})\times (2.00\times 10^{-4})}{0.250}](https://tex.z-dn.net/?f=K_%7Ba%7D%3D%5Cfrac%7B%282.00%5Ctimes%2010%5E%7B-4%7D%29%5Ctimes%20%282.00%5Ctimes%2010%5E%7B-4%7D%29%7D%7B0.250%7D)
So, ![K_{a}=1.6\times 10^{-7}](https://tex.z-dn.net/?f=K_%7Ba%7D%3D1.6%5Ctimes%2010%5E%7B-7%7D)
Hence ![pK_{a}=-log(1.6\times 10^{-7})=6.80](https://tex.z-dn.net/?f=pK_%7Ba%7D%3D-log%281.6%5Ctimes%2010%5E%7B-7%7D%29%3D6.80)
Answer:
![K.E.=1.97\times 10^{-21}\ J](https://tex.z-dn.net/?f=K.E.%3D1.97%5Ctimes%2010%5E%7B-21%7D%5C%20J)
Explanation:
Given that:-
Pressure = ![6.9\times 10^5\ Pa](https://tex.z-dn.net/?f=6.9%5Ctimes%2010%5E5%5C%20Pa)
The expression for the conversion of pressure in Pascal to pressure in atm is shown below:
P (Pa) =
P (atm)
Given the value of pressure = 43,836 Pa
So,
=
atm
Pressure = 6.80977 atm
Volume =
= 2.3 L ( 1 m³ = 1000 L)
n = 2 mol
Using ideal gas equation as:
PV=nRT
where,
P is the pressure
V is the volume
n is the number of moles
T is the temperature
R is Gas constant having value = 0.0821 L.atm/K.mol
Applying the equation as:
6.80977 atm × 2.3 L = 2 mol × 0.0821 L.atm/K.mol × T
⇒T = 95.39 K
The expression for the kinetic energy is:-
![K.E.=\frac{3}{2}\times K\times T](https://tex.z-dn.net/?f=K.E.%3D%5Cfrac%7B3%7D%7B2%7D%5Ctimes%20K%5Ctimes%20T)
k is Boltzmann's constant =
T is the temperature
So, ![K.E.=\frac{3}{2}\times 1.38\times 10^{-23}\times 95.39\ J](https://tex.z-dn.net/?f=K.E.%3D%5Cfrac%7B3%7D%7B2%7D%5Ctimes%201.38%5Ctimes%2010%5E%7B-23%7D%5Ctimes%2095.39%5C%20J)
![K.E.=1.97\times 10^{-21}\ J](https://tex.z-dn.net/?f=K.E.%3D1.97%5Ctimes%2010%5E%7B-21%7D%5C%20J)
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