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

explanation:

venn diagram is pictorial representation with of circles showing the relation between two finite sets or things. the intersection part of two circles conveys the relation present in between those sets or things.

here in the venn diagram of sand and salt two circles represent sand and salt. but the area falling under the intersection of these circle represents the mixture of sand and salt.

so, in a venn diagram the mixture will be placed in a middle that is in between the intersection of two circles.

Answer from: Quest

2b2t

explanation:

2b2t

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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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