The average kinetic energy and rms speed of N₂ molecules at STP is
and ![$493 \mathrm{~m} / \mathrm{s}$](https://tex.z-dn.net/?f=%24493%20%5Cmathrm%7B~m%7D%20%2F%20%5Cmathrm%7Bs%7D%24)
Given,
![$$\begin{aligned}&\mathrm{P}=1.013 \times 10^{5} \mathrm{~Pa} \\&\mathrm{~T}=273.15 \mathrm{~K} \\&\rho=1.25 \mathrm{~kg} / \mathrm{m}^{3}\end{aligned}$$](https://tex.z-dn.net/?f=%24%24%5Cbegin%7Baligned%7D%26%5Cmathrm%7BP%7D%3D1.013%20%5Ctimes%2010%5E%7B5%7D%20%5Cmathrm%7B~Pa%7D%20%5C%5C%26%5Cmathrm%7B~T%7D%3D273.15%20%5Cmathrm%7B~K%7D%20%5C%5C%26%5Crho%3D1.25%20%5Cmathrm%7B~kg%7D%20%2F%20%5Cmathrm%7Bm%7D%5E%7B3%7D%5Cend%7Baligned%7D%24%24)
The average kinetic energy of a molecule is given by,
where k is the Boltzmann constant and Tis the absolute temperature of the gas.
![K . E .=\frac{3}{2} \times $1.380649 \times 10^{-23}$ \times 273.15 K](https://tex.z-dn.net/?f=K%20.%20E%20.%3D%5Cfrac%7B3%7D%7B2%7D%20%5Ctimes%20%241.380649%20%5Ctimes%2010%5E%7B-23%7D%24%20%5Ctimes%20273.15%20K)
![K.E=$5.65686 \times10^{-21}$](https://tex.z-dn.net/?f=K.E%3D%245.65686%20%5Ctimes10%5E%7B-21%7D%24)
The rms speed of
molecules is given by
![$$\begin{aligned}&\mathrm{V}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}=\sqrt{\frac{3 \mathrm{P}}{\rho}} \\&\mathrm{V}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{P}}{\rho}} \\&\mathrm{V}_{\mathrm{rms}}=\sqrt{\frac{3 \times 1.013 \times 10^{5}}{1.25}}=493 \mathrm{~m} / \mathrm{s}\end{aligned}$$](https://tex.z-dn.net/?f=%24%24%5Cbegin%7Baligned%7D%26%5Cmathrm%7BV%7D_%7B%5Cmathrm%7Brms%7D%7D%3D%5Csqrt%7B%5Cfrac%7B3%20%5Cmathrm%7BRT%7D%7D%7B%5Cmathrm%7BM%7D%7D%7D%3D%5Csqrt%7B%5Cfrac%7B3%20%5Cmathrm%7BP%7D%7D%7B%5Crho%7D%7D%20%5C%5C%26%5Cmathrm%7BV%7D_%7B%5Cmathrm%7Brms%7D%7D%3D%5Csqrt%7B%5Cfrac%7B3%20%5Cmathrm%7BP%7D%7D%7B%5Crho%7D%7D%20%5C%5C%26%5Cmathrm%7BV%7D_%7B%5Cmathrm%7Brms%7D%7D%3D%5Csqrt%7B%5Cfrac%7B3%20%5Ctimes%201.013%20%5Ctimes%2010%5E%7B5%7D%7D%7B1.25%7D%7D%3D493%20%5Cmathrm%7B~m%7D%20%2F%20%5Cmathrm%7Bs%7D%5Cend%7Baligned%7D%24%24)
The average kinetic energy of a gas's particles is inversely related to its temperature. As the gas warms, the particles must travel more quickly since their mass is constant.
The average kinetic energy (K) is equal to one half of the mass (m) of each gas molecule times the RMS speed (vrms) squared.
Learn more about average kinetic energy brainly.com/question/1599923
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Explanation:
The electrical force between two objects is given by the formula as follows :
![F=\dfrac{kq_1q_2}{d^2}](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7Bkq_1q_2%7D%7Bd%5E2%7D)
k is electrostatic constant
q₁ and q₂ are electric charges
d is distance between charges
So, the two force between two charged objects depends on the product of charges and distance between charges.
It is B. Thank you later please and do good on the test!
Ammonium chloride is the correct name for NH4CL