A spacecraft is filled with 0.500 atm of N2 and 0.500 atm of O2. Suppose an object strikes this spacecraft and puts a very small hole in its side. Under these circumstances, A)    O2 is lost from the craft 6.9% faster than N2 is lost.                 B) O2 is lost from the craft 14% faster than N2 is lost.C)    N2 is lost from the craft 6.9% faster than O2 is lost.     D) N2 is lost from the craft 14% faster than O2 is lost.E)    N2 and O2 are lost from the craft at the same rate.

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Asked Dec 6, 2019
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A spacecraft is filled with 0.500 atm of N2 and 0.500 atm of O2. Suppose an object strikes this spacecraft and puts a very small hole in its side. Under these circumstances, 

A)    O2 is lost from the craft 6.9% faster than N2 is lost.                 

B) O2 is lost from the craft 14% faster than N2 is lost.
C)    N2 is lost from the craft 6.9% faster than O2 is lost.     

D) N2 is lost from the craft 14% faster than O2 is lost.
E)    N2 and O2 are lost from the craft at the same rate.

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Expert Answer

Step 1

Under constant conditions of temperature and pressure

The rate of diffusion of gas is given by

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rate of diffusion c Vmolar mass K VM tм, -ум,

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Step 2

We have a mixture of two gases, oxygen and nitrogen

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M. lo, V32 = 1, V28 28 V 32 I'N2 = 0.935 'N =1.07

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Step 3

Nitrogen diffuses faster than oxygen

D...

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Ar = I'v, - To, -0.9351y, = 0.065rv,

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