1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naddika [18.5K]
3 years ago
12

The collision between two gas molecules with different masses results in the velocity of the first molecule decreasing by 1/4. I

f the collision is elastic, which of the following statements is true?
A. The velocity of the second molecule will increase by a factor of 4.
B. The velocity of the second molecule will increase by a factor of 16.
C. The velocity of the second molecule will decrease by a factor of 16.
D. The velocity change of the second molecule depends on both the mass and the velocity of the first molecule.
Please explain why it is the right answer too
Chemistry
1 answer:
Shalnov [3]3 years ago
5 0

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

Final Kinetic Energy:

K.E_f=\frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2

where,

m_1 = mass of first molecule

m_2 = mass of second molecule

u_1 = initial velocity of first molecule

u_2 = initial velocity of second molecule

v_1 = final velocity of first molecule

v_2 = final velocity of second molecule

Elastic Collision:

K.E_i=K.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

m_1u_1^2+m_2u_2^2=m_1v_1^2+m_2v_2^2     .....(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}

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

m_1u_1^2-\frac{m_1u_1^2}{16}+m_2u_2^2=m_2v_2^2

m_1(\frac{15u_1^2}{16})+m_2u_2^2=m_2v_2^2

taking m_2 on other side, we get

\frac{m_1}{m_2}(\frac{15u_1^2}{16})+u_2^2=v_2^2

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.

You might be interested in
Hydrogen iodide is not produced by the same method as for hydrogen chloride.why??
lara [203]

Answer:

Using Phosphoric acid will work perfectly for producing Hydrogen halides because its not an Oxidizing agent. ...

Using an ionic chloride and Phosphoric acid

H3PO4 + NaCl ==> HCl + NaH2PO4

H3PO4 + NaI ==> HI + NaH2PO4

H2SO4 + NaCl ==> HCl + NaHSO4

This method(Using H2So4) will work for all hydrogen hydrogen halide except Hydrogen Iodide and Hydrogen Bromide.

The Sulphuric acid won't be useful for producing Hydrogen Iodide because its an OXIDIZING AGENT. Whist producing the Hydrogen Iodide... Some of the Iodide ions are oxidized to Iodine.

2I-² === I2 + 2e-

Explanation:

4 0
2 years ago
Use the periodic table to identify each of the following bonds as polar or nonpolar.
Molodets [167]

Answer:

Polar  

Step-by-step explanation:

Electronegativity increases from <em>left to right</em> in the Periodic Table.

Cl is further right than C (both tinted pink) in the portion of the Periodic Table below.

Cl is <em>more electronegative</em> than C, so the Cl has a partial negative charge and the C has a partial positive charge.

The C-Cl bond is polar.

5 0
3 years ago
Can anyone do my Ap environmental science package I will pay you
Phoenix [80]

Answer:

i have taken environmental science so i can help

4 0
2 years ago
A characteristic of an organism; can be genetic or acquired
Fittoniya [83]
Genetic: an organism uses energy for cellular respiration, and has all the genes necessary to make the proteins to accomplish it.
8 0
3 years ago
Please help me solve this worksheet
Vitek1552 [10]

Answer:search definitions

Explanation:

7 0
3 years ago
Other questions:
  • Consider the chemical equation.
    10·2 answers
  • Lewis structures are used to represent ___.
    14·2 answers
  • Question 3 Unsaved
    9·1 answer
  • As an organism begins to learn more and more about its environment, it will begin to construct a complex mental representation o
    5·2 answers
  • Las fórmulas actuales de los compuestos propuestos por Dalton
    14·1 answer
  • Not following hazardous material safety policies and procedures can result in which of
    13·1 answer
  • Forensic chemistry
    15·1 answer
  • What is the IUPAC name of this compound? CI-CH2-CH2 - CH2 - CH 2 -Cl​
    13·1 answer
  • Which equation shows the correct relationship between mass, force, and acceleration?
    7·1 answer
  • What is cell explain in a paragraph
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!