Answered

Discover a wealth of information and get your questions answered on IDNLearn.com. Ask your questions and receive reliable, detailed answers from our dedicated community of experts.

Calculate the root mean square velocity and kinetic energy of F2, Cl2 and Br2 at 298 K. Rank these three halogens with respect to their rate of effusion.

Sagot :

Onyebuchinnajiidn

The ranking of the three halogens with respect to their rate of effusion:

Fluorine (F₂) > Chlorine (Cl₂) > Bromine (Br₂)

The given parameters;

  • fluorine gas, F₂
  • chlorine gas, Cl₂
  • Bromine, Br₂

The molecular mass of the three halogens is calculated as follows;

[tex]F_2 = 2(19) = 38 \ g/mol = 38 \times 10^{-3} \ kg/mol\\\\Cl_2 = s(35.5) = 71 \ g/mol = 71 \times 10^{-3} \ kg/mol\\\\Br_2 = 2(80) = 160 \ g/mol = 160 \times 10^{-3} \ kg/mol[/tex]

The speed of three halogens is calculated as follows;

[tex]v = \sqrt{\frac{3RT}{M} } \\\\v_{F_2}= \sqrt{\frac{3 \times 8.314 \times 298}{38 \times 10^{-3} } } \ = 442.26 \ m/s\\\\v_{Cl_2}= \sqrt{\frac{3 \times 8.314 \times 298}{71 \times 10^{-3} } } \ = 323.55 \ m/s\\\\v_{Br_2}= \sqrt{\frac{3 \times 8.314 \times 298}{160 \times 10^{-3} } } \ =215.53 \ m/s[/tex]

The ranking of the three halogens with respect to their rate of effusion:

Fluorine (F₂) > Chlorine (Cl₂) > Bromine (Br₂).

Learn more about rate of effusion of gases here: https://brainly.com/question/13547979

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.