Based on the diagram shown, a numerical setup for calculating the gram-formula mass for reactant 1 would be :
6(1) + 2(12) + 16
Hope this helps
Answer:
They are most likely solid
Explanation:
solid is a physical property
Explanation:
Since, the atomic number of nitrogen is 7 and its electronic distribution is 2, 5. So, in order to attain stability it needs to gain 3 electrons.
Hence, when it chemically combines another nitrogen atom then as both the atoms are non-metals. So, sharing of electrons will take place.
Also, there is no difference in electronegativity of two nitrogen atoms. Hence, compound formed
is non-polar covalent in nature.
Answer:
13.20 cm/s is the rate at which the water level is rising when the water level is 4 cm.
Explanation:
Length of the base = l
Width of the base = w
Height of the pyramid = h
Volume of the pyramid = ![V=\frac{1}{3}lwh](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7Dlwh)
We have:
Rate at which water is filled in cube = ![\frac{dV}{dt}= 45 cm^3/s](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%2045%20cm%5E3%2Fs)
Square based pyramid:
l = 6 cm, w = 6 cm, h = 13 cm
Volume of the square based pyramid = V
![V=\frac{1}{3}\times l^2\times h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20l%5E2%5Ctimes%20h)
![\frac{l}{h}=\frac{6}{13}](https://tex.z-dn.net/?f=%5Cfrac%7Bl%7D%7Bh%7D%3D%5Cfrac%7B6%7D%7B13%7D)
![l=\frac{6h}{13}](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B6h%7D%7B13%7D)
![V=\frac{1}{3}\times (\frac{6h}{13})^2\times h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20%28%5Cfrac%7B6h%7D%7B13%7D%29%5E2%5Ctimes%20h)
![V=\frac{12}{169}h^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B12%7D%7B169%7Dh%5E3)
Differentiating V with respect to dt:
![\frac{dV}{dt}=\frac{d(\frac{12}{169}h^3)}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7Bd%28%5Cfrac%7B12%7D%7B169%7Dh%5E3%29%7D%7Bdt%7D)
![\frac{dV}{dt}=3\times \frac{12}{169}h^2\times \frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D3%5Ctimes%20%5Cfrac%7B12%7D%7B169%7Dh%5E2%5Ctimes%20%5Cfrac%7Bdh%7D%7Bdt%7D)
![45 cm^3/s=3\times \frac{12}{169}h^2\times \frac{dh}{dt}](https://tex.z-dn.net/?f=45%20cm%5E3%2Fs%3D3%5Ctimes%20%5Cfrac%7B12%7D%7B169%7Dh%5E2%5Ctimes%20%5Cfrac%7Bdh%7D%7Bdt%7D)
![\frac{dh}{dt}=\frac{45 cm^3/s\times 169}{3\times 12\times h^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B45%20cm%5E3%2Fs%5Ctimes%20169%7D%7B3%5Ctimes%2012%5Ctimes%20h%5E2%7D)
Putting, h = 4 cm
![\frac{dh}{dt}=\frac{45 cm^3/s\times 169}{3\times 12\times (4 cm)^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B45%20cm%5E3%2Fs%5Ctimes%20169%7D%7B3%5Ctimes%2012%5Ctimes%20%284%20cm%29%5E2%7D)
![=13.20 cm/s](https://tex.z-dn.net/?f=%3D13.20%20cm%2Fs)
13.20 cm/s is the rate at which the water level is rising when the water level is 4 cm.
<u>Answer:</u> The longest wavelength of light is 656.5 nm
<u>Explanation:</u>
For the longest wavelength, the transition should be from n to n+1, where: n = lower energy level
To calculate the wavelength of light, we use Rydberg's Equation:
![\frac{1}{\lambda}=R_H\left(\frac{1}{n_i^2}-\frac{1}{n_f^2} \right )](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%7D%3DR_H%5Cleft%28%5Cfrac%7B1%7D%7Bn_i%5E2%7D-%5Cfrac%7B1%7D%7Bn_f%5E2%7D%20%5Cright%20%29)
Where,
= Wavelength of radiation
= Rydberg's Constant = ![1.096776\times 10^7m^{-1}](https://tex.z-dn.net/?f=1.096776%5Ctimes%2010%5E7m%5E%7B-1%7D)
= Higher energy level = ![n_i+1=(2+1)=3](https://tex.z-dn.net/?f=n_i%2B1%3D%282%2B1%29%3D3)
= Lower energy level = 2 (Balmer series)
Putting the values in above equation, we get:
![\frac{1}{\lambda }=1.096776\times 10^7m^{-1}\left(\frac{1}{2^2}-\frac{1}{3^2} \right )\\\\\lambda =\frac{1}{1.5233\times 10^6m^{-1}}=6.565\times 10^{-7}m](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%20%7D%3D1.096776%5Ctimes%2010%5E7m%5E%7B-1%7D%5Cleft%28%5Cfrac%7B1%7D%7B2%5E2%7D-%5Cfrac%7B1%7D%7B3%5E2%7D%20%5Cright%20%29%5C%5C%5C%5C%5Clambda%20%3D%5Cfrac%7B1%7D%7B1.5233%5Ctimes%2010%5E6m%5E%7B-1%7D%7D%3D6.565%5Ctimes%2010%5E%7B-7%7Dm)
Converting this into nanometers, we use the conversion factor:
![1m=10^9nm](https://tex.z-dn.net/?f=1m%3D10%5E9nm)
So, ![6.565\times 10^{-7}m\times (\frac{10^9nm}{1m})=656.5nm](https://tex.z-dn.net/?f=6.565%5Ctimes%2010%5E%7B-7%7Dm%5Ctimes%20%28%5Cfrac%7B10%5E9nm%7D%7B1m%7D%29%3D656.5nm)
Hence, the longest wavelength of light is 656.5 nm