Chemistry, 13.03.2020 06:01 kiarabermudez754

A sample of Xe takes 75 seconds to effuse out of a container. An unknown gas takes 37 seconds to effuse out of the identical container under identical conditions. What is the most likely identity of the unknown gas?

a. Br2
b. He
c. O2
d. Kr

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Answer from: Mantisa

The most likely unknown gas has been $\rm \bold{O_2}$ . Thus, option C is correct.

The two gas required different times to be diffused from the same container. Thus, the rate of diffusion has been proportional to the molar mass of the substance.

Thus, the ratio of the rate of two samples can be given by:

$\rm \dfrac{Rate\;of\;A}{Rate\;of\;B}\;=\;\dfrac{Molar\;mass\;of\;A}{Molar\;mass\;of\;B}$

Rate can be defined as the amount diffuses per unit time. The equation in terms of time can be given as:

$\rm \dfrac{Time\;of\;B}{Time\;of\;A}\;=\;\sqrt{\dfrac{Molar\;mass\;of\;B}{Molar\;mass\;of\;A}}$

Let gas B be Xenon, having diffusion time 75 sec, and molar mass 131.3 g/mol

$\rm \dfrac{75\;sec}{37\;sec}\;=\;\sqrt{\dfrac{131.3\;g/mol}{Molar\;mass\;of\;A}}$

Molar mass of A = 32 g/mol.

The gas with a molar mass of 32 g/mol has been oxygen. Thus, the most likely unknown gas has been $\rm \bold{O_2}$ . Thus, option C is correct.

For more information about the diffusion of gases, refer to the link:

link

Answer from: gshreya2005

The molar mass of B is 32.0 g/mol

The unknown gas might be O2 (option C)

Explanation:

Step 1: Data given

A sample of Xe takes 75 seconds to effuse out of a container.

An unknown gas takes 37 seconds to effuse out of the identical container

Molar mass Xe = 131.3 g/mol

Step 2:

Rate A / rate B = √ (MB/MA)

rate = amount / time

The equation includes rate, but you are given times. Since rate is amount/time, we have to invert that side of the equation.

Time B/Time A = √(MB/MA)

⇒with time B = the time the unknown gas needed to effuse = 37 seconds

⇒with time A = the time needed Xe needed to effuse = 75 seconds

⇒with MB = the molar mass of the unknown gas = TO BE DETERMINED

⇒ with MA = the molar mass of Xe = 131.3

37/75 = √ (MB/131.3)

MB = 32

The molar mass of B is 32.0 g/mol

The unknown gas might be O2

Answer from: Quest

the balanced equation for reaction of ca metal with o2 to produce cao is as below

2 ca+ o2→ 2 cao2

explanation

the reaction is balanced since the number of atoms in reactant side is equal to number of atoms in product side. for example they are 2 atom of ca in reactant side and 2 atoms of ca in the product side.

the process is a meet the requirement of redox reaction because : calcium is oxidized from oxidation state 0 to 2+ while oxygen is reduced from oxidation state 0 to 2-

Answer from: Quest

the answer is 75.0%.

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A sample of Xe takes 75 seconds to effuse out of a container. An unknown gas takes 37 seconds to eff...

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