Answer:
Explanation:
= Half-life of carbon = 5700 years
t = Time at which the remaining mass is to be found = 10400 years
= Initial mass of carbon = 11 g
Decay constant is given by
![\lambda=\dfrac{\ln2}{t_{1/2}}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B%5Cln2%7D%7Bt_%7B1%2F2%7D%7D)
Amount of mass remaining is given by
![m=m_0e^{-\lambda t}\\\Rightarrow m=m_0e^{-\dfrac{\ln2}{t_{1/2}} t}\\\Rightarrow m=11e^{-\dfrac{\ln 2}{5700}\times 10400}\\\Rightarrow m=3.106\ \text{g}](https://tex.z-dn.net/?f=m%3Dm_0e%5E%7B-%5Clambda%20t%7D%5C%5C%5CRightarrow%20m%3Dm_0e%5E%7B-%5Cdfrac%7B%5Cln2%7D%7Bt_%7B1%2F2%7D%7D%20t%7D%5C%5C%5CRightarrow%20m%3D11e%5E%7B-%5Cdfrac%7B%5Cln%202%7D%7B5700%7D%5Ctimes%2010400%7D%5C%5C%5CRightarrow%20m%3D3.106%5C%20%5Ctext%7Bg%7D)
The amount of the substance that remains after 10400 years is
.
Explanation:
The relation between
is given by :
![K_w=K_a\times K_b](https://tex.z-dn.net/?f=K_w%3DK_a%5Ctimes%20K_b)
Where :
= Ionic prodcut of water
The value of the first ionization constant of sodium sulfite = ![K_{a1}=1.4\times 10^{-2}](https://tex.z-dn.net/?f=K_%7Ba1%7D%3D1.4%5Ctimes%2010%5E%7B-2%7D)
The value of
:
![1\times 10^{-14}=1.4\times 10^{-2}\times K_{b1}](https://tex.z-dn.net/?f=1%5Ctimes%2010%5E%7B-14%7D%3D1.4%5Ctimes%2010%5E%7B-2%7D%5Ctimes%20K_%7Bb1%7D)
![K_{b1}=\frac{1\times 10^{-14}}{1.4\times 10^{-2}}=7.1\times 10^{-13}](https://tex.z-dn.net/?f=K_%7Bb1%7D%3D%5Cfrac%7B1%5Ctimes%2010%5E%7B-14%7D%7D%7B1.4%5Ctimes%2010%5E%7B-2%7D%7D%3D7.1%5Ctimes%2010%5E%7B-13%7D)
The value of the second ionization constant of sodium sulfite = ![K_{a2}=6.3\times 10^{-8}](https://tex.z-dn.net/?f=K_%7Ba2%7D%3D6.3%5Ctimes%2010%5E%7B-8%7D)
The value of
:
![1\times 10^{-14}=6.3\times 10^{-8}\times K_{b1}](https://tex.z-dn.net/?f=1%5Ctimes%2010%5E%7B-14%7D%3D6.3%5Ctimes%2010%5E%7B-8%7D%5Ctimes%20K_%7Bb1%7D)
![K_{b1}=\frac{1\times 10^{-14}}{6.3\times 10^{-8}}=1.6\times 10^{-7}](https://tex.z-dn.net/?f=K_%7Bb1%7D%3D%5Cfrac%7B1%5Ctimes%2010%5E%7B-14%7D%7D%7B6.3%5Ctimes%2010%5E%7B-8%7D%7D%3D1.6%5Ctimes%2010%5E%7B-7%7D)
Volume of the metal = change in volume reading
Volume = 37.4 - 33
Volume = 4.4 ml
Density = mass / volume
Density = 7.101 / 4.4
Density = 1.61 g/ml
Answer:
The reaction states that 2 moles of ethane react with 7 moles of oxygen. At standard temperature and pressure conditions (STP), each mole of gas occupies a volume of 22.4 liters. Therefore, 2 moles of ethane occupy liters, and 7 moles of oxygen occupy liters. In other words: 6 liters.
Explanation:
I hope it helps you
The azimuthal quantum number (l) determines its orbital angular momentum and describes the shape of the orbital.
s-orbitals (for example 1s, 2s) are spherically symmetric around the nucleus of the atom.
p-orbitals are dumb-bell shaped. l = 0,1...n-1, when l = 1, that is p subshell.
d-orbitals are butterfly shaped.