Aluminium Sulfite is the name of compound.
Al stands for Aluminium.
SO3 stands for Sulfite.
Answer: The correct option is D.
Explanation: We are given two gas molecules with different masses. The collision between them is elastic, hence the Total Kinetic energy of the system is conserved.
Initial Kinetic Energy:
![K.E_i=\frac{1}{2}m_1u_1^2+\frac{1}{2}m_2u_2^2](https://tex.z-dn.net/?f=K.E_i%3D%5Cfrac%7B1%7D%7B2%7Dm_1u_1%5E2%2B%5Cfrac%7B1%7D%7B2%7Dm_2u_2%5E2)
Final Kinetic Energy:
![K.E_f=\frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2](https://tex.z-dn.net/?f=K.E_f%3D%5Cfrac%7B1%7D%7B2%7Dm_1v_1%5E2%2B%5Cfrac%7B1%7D%7B2%7Dm_2v_2%5E2)
where,
= mass of first molecule
= mass of second molecule
= initial velocity of first molecule
= initial velocity of second molecule
= final velocity of first molecule
= final velocity of second molecule
Elastic Collision:
![K.E_i=K.E_f](https://tex.z-dn.net/?f=K.E_i%3DK.E_f)
That is,
![\frac{1}{2}m_1u_1^2+\frac{1}{2}m_2u_2^2=\frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dm_1u_1%5E2%2B%5Cfrac%7B1%7D%7B2%7Dm_2u_2%5E2%3D%5Cfrac%7B1%7D%7B2%7Dm_1v_1%5E2%2B%5Cfrac%7B1%7D%7B2%7Dm_2v_2%5E2)
.....(1)
We are given in the question that the final velocity of first molecule is decreased by 1/4, which means:
![v_1=\frac{u_1}{4}](https://tex.z-dn.net/?f=v_1%3D%5Cfrac%7Bu_1%7D%7B4%7D)
Putting this value in equation 1 , we get
![m_1u_1^2+m_2u_2^2=\frac{m_1u_1^2}{16}+m_2v_2^2](https://tex.z-dn.net/?f=m_1u_1%5E2%2Bm_2u_2%5E2%3D%5Cfrac%7Bm_1u_1%5E2%7D%7B16%7D%2Bm_2v_2%5E2)
![m_1u_1^2-\frac{m_1u_1^2}{16}+m_2u_2^2=m_2v_2^2](https://tex.z-dn.net/?f=m_1u_1%5E2-%5Cfrac%7Bm_1u_1%5E2%7D%7B16%7D%2Bm_2u_2%5E2%3Dm_2v_2%5E2)
![m_1(\frac{15u_1^2}{16})+m_2u_2^2=m_2v_2^2](https://tex.z-dn.net/?f=m_1%28%5Cfrac%7B15u_1%5E2%7D%7B16%7D%29%2Bm_2u_2%5E2%3Dm_2v_2%5E2)
taking
on other side, we get
![\frac{m_1}{m_2}(\frac{15u_1^2}{16})+u_2^2=v_2^2](https://tex.z-dn.net/?f=%5Cfrac%7Bm_1%7D%7Bm_2%7D%28%5Cfrac%7B15u_1%5E2%7D%7B16%7D%29%2Bu_2%5E2%3Dv_2%5E2)
From the above relation, it is visible that the velocity change of the second molecule depends on both mass and velocity of the first molecule.
Answer:
proton pump
Explanation:
There are four major respiratory enzyme complexes that make the electron transport chain. These complexes are complex I, II, III, IV. All these complexes collectively act as proton pump and remove the H+ from the matrix o mitochondria and pump it into intermembrane space against the concentration gradient.
This generated an electrochemical gradient between the mitochondrial matrix and intermembrane space. So when these H+ comes back in the mitochondrial matrix through ATP synthase it generates ATP from ADP. Therefore the correct answer is a proton pump.
Answer : The acid dissociation constant Ka of the acid is, ![8.7\times 10^{-5}](https://tex.z-dn.net/?f=8.7%5Ctimes%2010%5E%7B-5%7D)
Explanation :
First we have to calculate the concentration of hydrogen ion.
![pH=-\log [H^+]](https://tex.z-dn.net/?f=pH%3D-%5Clog%20%5BH%5E%2B%5D)
Given: pH = 4.06
![4.06=-\log [H^+]](https://tex.z-dn.net/?f=4.06%3D-%5Clog%20%5BH%5E%2B%5D)
![[H^+]=8.71\times 10^{-5}M](https://tex.z-dn.net/?f=%5BH%5E%2B%5D%3D8.71%5Ctimes%2010%5E%7B-5%7DM)
The dissociation of acid reaction is:
![HA\rightarrow H^++A^-](https://tex.z-dn.net/?f=HA%5Crightarrow%20H%5E%2B%2BA%5E-)
Initial conc. c 0 0
At eqm. c-cα cα cα
Given:
Degree of dissociation = α = 0.10 % = 0.001
![[H^+]=c\alpha](https://tex.z-dn.net/?f=%5BH%5E%2B%5D%3Dc%5Calpha)
![8.71\times 10^{-5}=c\times 0.001](https://tex.z-dn.net/?f=8.71%5Ctimes%2010%5E%7B-5%7D%3Dc%5Ctimes%200.001)
![c=0.0871M](https://tex.z-dn.net/?f=c%3D0.0871M)
The expression of dissociation constant of acid is:
![K_a=\frac{[H^+][A^-]}{[HA]}](https://tex.z-dn.net/?f=K_a%3D%5Cfrac%7B%5BH%5E%2B%5D%5BA%5E-%5D%7D%7B%5BHA%5D%7D)
![K_a=\frac{(c\times \alpha)\times (c\times \alpha)}{(c-c\alpha)}](https://tex.z-dn.net/?f=K_a%3D%5Cfrac%7B%28c%5Ctimes%20%5Calpha%29%5Ctimes%20%28c%5Ctimes%20%5Calpha%29%7D%7B%28c-c%5Calpha%29%7D)
Now put all the given values in this expression, we get:
![K_a=\frac{(0.0871\times 0.001)\times (0.0871\times 0.001)}{(0.0871-0.0871\times 0.001)}](https://tex.z-dn.net/?f=K_a%3D%5Cfrac%7B%280.0871%5Ctimes%200.001%29%5Ctimes%20%280.0871%5Ctimes%200.001%29%7D%7B%280.0871-0.0871%5Ctimes%200.001%29%7D)
![K_a=8.7\times 10^{-5}](https://tex.z-dn.net/?f=K_a%3D8.7%5Ctimes%2010%5E%7B-5%7D)
Thus, the acid dissociation constant Ka of the acid is, ![8.7\times 10^{-5}](https://tex.z-dn.net/?f=8.7%5Ctimes%2010%5E%7B-5%7D)
I believe it is C, as helium is one of the lightest noble gases making the particles move faster.