What will be the ratio of the root mean square speeds of the molecules?

Answers

Answer 1
The root mean square speeds of the molecules of a gas is calculated as  [tex]V_{rms}[/tex][tex]= \sqrt{\frac{3RT}{M} }[/tex]

After that, the speeds of the molecules are calculated at the two different temperatures as given in the question and then, the ratio is calculated by dividing.

Here, T is the temperature,

         m is the mass of the molecules and

         R is the Gas constant.

Let's taken an example of the two temperatures are as follows:

[tex]T_{1}[/tex]=270K

[tex]T_{2}[/tex]=30K

We know that the root mean square speed of the molecules is given as:

 [tex]V_{rms} = \sqrt{\frac{3RT}{M} }[/tex]

Putting the values of the temperatures and calculating the root mean square speeds of the molecules:

[tex]V_{rms1} = \sqrt[]{\frac{3R*270}{M} }[/tex]

[tex]V_{rms2} = \sqrt{\frac{3R*30}{M} }[/tex]

Dividing the above two root mean square speed equations in order to get the ratio of the two, we get,

⇒ [tex]\frac{V_{rms1} }{V_{rms2} } = \frac{\sqrt{\frac{3R*270}{M} } }{\sqrt{\frac{3R*30}{M} } }[/tex]

⇒ [tex]\frac{V_{rms1} }{V_{rms2} } = \sqrt{\frac{9}{1} }[/tex]

⇒ [tex]\frac{V_{rms1} }{V_{rms2} } = \frac{3}{1}[/tex]

Hence, the ratio of the root mean square speeds of the molecules of an ideal gas at 270K and 30K is 3:1.

Note: It is important to note that the root-mean-square speed is the measure of the speed of particles in a gas, defined as the square root of the average velocity-squared of the molecules in a gas. The mass and the Gas constant values for a particular gas remain the same and only temperature is the variant.

To know more about root mean square speeds, check:

https://brainly.com/question/13095222

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Related Questions

What type of energy must you add to a substance to make the particles of the substance
move faster?

A. thermal

B. potential

C. mechanical

D. geothermal

Answers

Answer: thermal  energy a}

Explanation:

Thermal energy (also called heat energy) is produced when a rise in temperature causes atoms and molecules to move faster and collide with each other. The energy that comes from the temperature of the heated substance is called thermal energy.

A. thermal
B.potential

Answer is A

Can I find the state of Ca3N2 using the solubility rules? If so how because there is no Nitride in the solubility tables, I don't understand.

Answers

Answer:

The day I was in the shower and I will be there at remove the day I was in the shower and I will be there at remove the day to see if you have any questions please feel free to contacts and the day I was in the shower and I will be there at remove the day I was in the shower and I will be there at remove the days of the week are you

Explanation:

because the calcium is combine with the nitride so the total solubility will change forming Ca3N2

Which of the following is true of all stars? A) they produce energy and radiation B) they have about the same temperature c) they are generally the same size and color D) they produce energy for the same length of time​

Answers

Answer:

A)

Explanation:

All stars produce some type of energy and radiation. But stars vary in temperature, size, color, and the length of energy they produce.

Complete the sentence:
The north pole of a magnet____ the north pole of another magnet.
-will attract
-may repel, attract, or not affect
-will not affect
-will repel

Answers

the north pole of the magnet will repel the north pole of another magnet

How may moles are in 88.4 grams of Al(OH)3?

Answers

Answer:

1.133mol Al(OH)3

Explanation:

88.4/78.003 = 1.133

6th grade science plz help Major grade Need help with 4,5, and 6

Answers

4=population, 5 and 6 are ecosystem

i need to write a brief paragraph on why this lab is important, please help!! here is the question!
How can the properties of acids and bases be used to classify solutions?

Answers

Answer:

Acids and bases aqueous solutions will conduct electricity because they contain dissolved ions. Therefore acids and bases are electrolytes. strong acids and bases will be electrolytes. weak acids and bases will be weak electrolytes.

How many molecules of water are there in 10 lbs of water?

Answers

55.556

Explanation:

or something like that

9. Circle the atom in each pair that has the greater ionization energy.

A) Li or Be
B) Ca or Ba
C) Na or K
D) P or Ar
E) Cl or Si
F) Li or K

Answers

A: BE has more ionization energy than LI

B: CA has more ionization energy than BA.
C: NA has more ionization energy than K

D: AR has more ionization energy than P

E: CI has a more ionization energy than SI
F: LI has more ionization energy than K


If any of these are wrong feel free to correct me in the comments.

A) Be

B) Ca

C) Na

D) Ar

E) Cl

F)  Li

This question simply deals with ionization energy trends across the periodic table or down the group.

Ionization energy is the energy that is needed to remove an electron from its orbital around an atom in such a manner that it will no longer be associated with that same atom.

Now, from studies, it has been found that Ionization energy decreases down a group but it tends to increase as we go from the left to right going across the periodic table.

A) Li(Lithium) and Be(Berrylium) belong to the same period which is period 2 on the periodic table. Berrylium comes after berrylium in that period and as such from the rule earlier, berrylium will have the greater ionization energy.

B) Ca(Calcium) and Ba(Barium) belong to the same group 2 in the periodic table with barium further down the group. Thus, from the trend, Ca(Calcium) will have the greater ionization energy.

C) Na(Sodium) and K(Potassium) belong to the same group 1 in the periodic table with potassium further down the group. Thus, from the trend, Na(Sodium) will have the greater ionization energy.

D) P(Phosphorus) and Ar(Argon) belong to the same period which is period 3 on the periodic table. Argon comes after Phosphorus in that period and as such from the rule earlier, argon will have the greater ionization energy.

E) Cl(Chlorine) and Si(Silicon) belong to the same period which is period 3 on the periodic table. Cl(Chlorine) comes after Si(Silicon) in that period and as such from the rule earlier, Cl(Chlorine) will have the greater ionization energy.

F) Li(Lithium) and K(Potassium) belong to the same group 1 in the periodic table with potassium further down the group. Thus, from the trend,  Li(Lithium) will have the greater ionization energy.

Read more at: brainly.in/question/13610645


17. When you hold a soda can in your hand, you possess trillions and trillions of aluminum atoms. In one paragraph, using
your own words, explain how ions of aluminum atoms would generally interact based on their charges, and how that
interaction is overcome through metallic bonding to form the can that you hold.
PLEASE PUT REAL ANSWER OR I WILL REPORT YOU
MARKING BRAINLYEST TO FIRST PERSON

Answers

In the early 1900's, Paul Drüde came up with the "sea of electrons" metallic bonding theory by modeling metals as a mixture of atomic cores (atomic cores = positive nuclei + inner shell of electrons) and valence electrons. Metallic bonds occur among metal atoms. Whereas ionic bonds join metals to non-metals, metallic bonding joins a bulk of metal atoms. A sheet of aluminum foil and a copper wire are both places where you can see metallic bonding in action.

Metals tend to have high melting points and boiling points suggesting strong bonds between the atoms. Even a soft metal like sodium (melting point 97.8°C) melts at a considerably higher temperature than the element (neon) which precedes it in the Periodic Table. Sodium has the electronic structure 1s22s22p63s1. When sodium atoms come together, the electron in the 3s atomic orbital of one sodium atom shares space with the corresponding electron on a neighboring atom to form a molecular orbital - in much the same sort of way that a covalent bond is formed.

The difference, however, is that each sodium atom is being touched by eight other sodium atoms - and the sharing occurs between the central atom and the 3s orbitals on all of the eight other atoms. Each of these eight is in turn being touched by eight sodium atoms, which in turn are touched by eight atoms - and so on and so on, until you have taken in all the atoms in that lump of sodium. All of the 3s orbitals on all of the atoms overlap to give a vast number of molecular orbitals that extend over the whole piece of metal. There have to be huge numbers of molecular orbitals, of course, because any orbital can only hold two electrons.

The electrons can move freely within these molecular orbitals, and so each electron becomes detached from its parent atom. The electrons are said to be delocalized. The metal is held together by the strong forces of attraction between the positive nuclei and the delocalized electrons Hope this helped


URGENT!!! ANSWER ASAP!!!!
A student with the flu was given medication that tasted bitter. Other than taste, which other test would confirm which type of compound was in the medication? Chose the two statements that apply.

A. It feels slippery
B. It reacts with metal
C. It turns blue litmus red
D. It turns red litmus blue

HINT!!! it is not B and D.... one of them could be right. but the other is wrong. pls help meeeee!!!!


PLS HELP

Answers

Answer:

C

Explanation:

 i hope i helped you and have a nice day...

PLZZZZZZZZ HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ PLZ PLZ PLZZZZZZZ these are satellite images taken of the same area in 1986 and in 2020 what can these images be used to monitor

Answers

C. How land use has changed over time.

Answer:

I believe it is how land use changed over time

Explanation:

The images only show us the labels of communities and farm land/ forests. There is no evidence to support that this map would be monitoring water quality, pollution, etc. The only visible change is the change in land.

What properties can be used to identify puree substances?

Answers

Explanation:

1 it easily won't break down using any chemical

2 it is difficult to extract it using chemical process

mark me please

help help like rn pls!!!!

Answers

Answer:

1.T

2.T

3.T

4.F

5.F

6.T

7.T

8.F

9.T

10.T

11.F

12.S

13.T

maaf kalo salah

What is the average speed of a race car if it travelled a total of 500 miles in 3.5 hours

Answers

Answer:

speed = 142.8571 miles per hour OR 142.8571 mi/h

Explanation:

speed= [tex]\frac{distance}{time}[/tex]

distance = 500,    time = 3.5hours or 210 minutes

speed= [tex]\frac{500}{210}[/tex]  = 142.8571

hope this helps!!!!

__MgCl2 +
_Na3PO4 -->
NaCl
_Mg3(PO4)2 +
---
In the reaction above, how many moles of sodium chloride would be produced
if you started with 20 grams of magnesium chloride and excess sodium
phosphate? The equation is not balanced.
(If anyone can answer in depth if appreciate it )

Answers

Answer:

24.5 g of NaCl

Explanation:

We begin from the balanced reaction:

3MgCl₂ +   2Na₃PO₄  →    6NaCl   +  Mg₃(PO₄)₂

If the sodium phosphate is in excess, then the limting reagent is the magnessium chloride.

We convert mass to moles:

20 g . 1mol / 95.2g = 0.210 moles.

3 moles of MgCl₂ can produce 6 moles of NaCl

0.210 moles of salt, may produce (0.210 . 6) /3 = 0.420 moles

Ratio of reactant is twice the product

We convert the moles to mass:

0.420 mol .  58.45 g/mol = 24.5 g

please help im so bad at science

Answers

a.bond energy

c. endothermic reaction

d. exothermic reaction

f.exothermic

g.endothermic

define the term pure substance​

Answers

Answer:

Pure substances are substances that are made up of only one kind of particles and has a fixed or constant structure. Pure substances are further classified as elements and compounds. An element is a substance that consists of only one type or kind of atom

Answer:

define the term pure substance​ :

A pure substance does not have to be of a single element or compound, This can either be one single element or one single compound, but every sample of this substance that you examine must contain exactly the same thing with a fixed, definite set of properties

Explanation:

The pH of a solution is 9.67. Calculate [H+] for the solution

Answers

Answer:

2.14 x 10^-10 M

Explanation:

[H+] = 10^(-pH) = 10^-9.67 = 2.14 x 10^-10 M

what is my name?
chetana
ikshya
grishma
bhumika
puja​

Answers

they're name of bunch of girls.

Why does the moon have a stronger gravitational effect on the earth then the sun?

Answers

Explanation:

The tidal forces of the Moon are much stronger than the Sun's because it is so much closer to our planet, causing a much greater variation in the gravitational force from one location to another. The Sun's gravitational force, on the other hand, varies much less because the Sun is so far.

Please mark me has brainliest

What is the percent composition of water found in tin (IV) oxide octahydrate?

Answers

Answer:

tin (IV) oxide octahydrate contains 8 part water

What is the percent composition of water found in tin (IV) oxide octahydrate?

3 of 12
Assessment: Force and Motion CBA
Four students recorded the time it took them to walk to school from their homes as shown in the table
below.
Student
1
2
3
Motion of Four Students
Distance (meters) Time (minutes)
1,100
20
1,026
19
848
16
795
15
4
Which student had the greatest average speed?
Student 1
Student 2
Student 3
Student 4
1
2
3
4
5
6
7
8
9
10
Next

Answers

The answer is 1,026 students hope this helps

which gas would diffuse rapidly at the same temperature and pressure UF6 or CL2

Answers

Answer:

UF6

Explanation:

WHAT CAN BE USED TO REPLACE OIL? help 30POINTS!!!!! ASAP

Answers

Answer:

Melted butter

Explanation:

Answer:

Look below

Explanation:

The following may be substituted cup for cup for vegetable oil in baked goods:

Applesauce, preferably unsweetened.

Banana, ripe and mashed.

Butter, melted.

Cauliflower – unseasoned, cooked, and pureed.

Ghee.

Margarine, melted.

Mayonnaise.

Pumpkin, cooked and pureed.

Determine the products when aqueous solutions of CoCl2 and Na3PO4are reacted together.

Answers

Answer: NaCl+Co3(PO4)2

I used a stick of (vegan) butter as our example of thinking about how temperature changes the properties of something when it is wamer or cooler.

1. What is something else you could use to describe how temperature affects the properties of when it is warmer or cooler? How does this change whether it is warm or cold. Describe it.

Answers

Oh ok it says it hablar to be 20 characters

2 Na + Cl2 --> 2 NaCl
What is the mole ratio of chlorine to sodium chloride?

Answers

Answer:

1 : 2 ratio

Explanation:

Chlorine has a coefficient of 1, and sodium chloride has a coefficient of 2.

Complete the missing information in the reactions. Then, label the reaction one of the following:
Alpha Decay
Electron Capture
Beta Decay
Positron Emission
.
14
N +
0
Type:
238
92
234
90
Th +
Type:
15
0
15
N +
7
Type:
8
0
32
15
Type:
105
Ag +
47
105
Pd
46
Type:
40
Type:
20
I
244
94 Pu -
Type: :

Answers

50 i’m not sure though sorry

A reaction is first order with respect to reactant A and second order with respect to reactant B. Starting with [A] = 0.175 M and [B] = 0.00250 M, the reaction rate is 2.83 x 10−5 M.S−1. What is the rate constant k? Show your work.

Answers

Answer:

[tex]k=25.9M^{-2}s^{-1}[/tex]

Explanation:

Hello there!

In this case, since rate laws are written by considering the rate constant, concentration and specific orders of reaction of the concentration of the species contributing to the rate of reaction, we write:

[tex]r=k[A][B]^2[/tex]

Since it is first-order with respect to reactant A and second-order with respect to reactant B. In such a way, given the rate and concentrations of both A and B, the involved rate constant k turns out to be:

[tex]k=\frac{r}{[A][B]^2} \\\\k=\frac{2.83x10^{-5}M/s}{(0.175M)(0.00250M)^2}\\\\k=25.9M^{-2}s^{-1}[/tex]

Best regards!

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