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History Bookmarks Window Help g newconnect.mheducation.com Course Material& Assignments- CHEM1314003,17 BCE work Gas Saved Be sure to answer all parts The circle at right represents a portion of a mixture of four gases: Gas A (purple), Gas B (brown), Gas C (green), and Gas D, (orange). The eirele contains 4 purple spheres, 3 brown spheres, 5 green spheres, and 4 pairs of orange spheres. (a) Which gas has the highest partial pressure? Gas A has the highest partial pressure Gas B has the highest partial pressure Gas C has the highest partial pressure Gas D2 has the highest partial pressure (b) Which gas has the lowest partial pressure? Gas A has the lowest partial pressure Gas B has the lowest partial pressure Gas C has the lowest partial pressure Gas D2 has the lowest partial pressure O K Prev10 of 23 Next> 3

Explanation / Answer

Partial pressure of a gas in a mixture of gas is defined as the hypothetical pressure when only the gas is present under similar thermodynamic condition (same volume, temperature, number of particles)

Partial pressure (pi) by component 'i' is calculated as the ratio of pressure due to compotent 'i' and total pressure (due to all components).

from Ideal gas equation PV = nRT , at constant volume and temperature. Pressure is propotional to number of moles (or, say number of particles) of gas. Which means larger the number of particles of gas higher will be its contribution towards the total pressure.

Now, here Gas C (green) has largest number of particles (5 ) compared to other gases, so it will have highest partial pressure.

while, Gas B (brown) has lowest number of particles (3), so it will have lowest contribution towards total pressure.

Hence, the answers are

(a) Gas C has the highest partial pressure

(b) Gas B has the lowest partial pressure

(c) Patial pressure due to D2

PD2/ Ptotal = Number of D2 / Total number of particles

Given, Ptotal = 0.544 atm

Number of D2 gas = 4

Total number of gas particles = (4+3+5+4) = 16

Thus, PD2 = (4/16)* 0.544 atm = 0.136 atm

Hence, partial pressure due to D2 gas is 0.136 atm

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