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Which gas sample contains the fewest molecules?

Question

Which gas sample contains the fewest molecules?

A

1.00 d m^{3}

of carbon dioxide at

27^{o} C

and

2.0 k P a

B

1.00 d m^{3}

of hydrogen at

100^{o} C

and

2.0 k P a

C

1.00 d m^{3}

of nitrogen at

300^{o} C

and

4.0 k P a

D

1.00 d m^{3}

of oxygen at

250^{o} C

and

3.0 k P a

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Text solutionVerified

PV = nRT
n = moles = PV/RT..

P, V, R, and T are all constant right? 1 atm, 1.0 L , R, and 273 K?

so "n" is constant. ie they all have the same number of moles of molecules. ie they all have the same number of molecules.

in fact,

n = 1 atm x 1.0 L / (0.0821 Latm/moleK x 273K) = 0.0446 moles
and
0.0446 moles x (6.022x10^23 molecules / mole ) = 2.69x10^22 molecules

as the molecular mass of the hydrogen is least among all of these and mole=given mass/molar mass

hence hydrogen gas contains the fewest molecules

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Question Text	Which gas sample contains the fewest molecules?
Answer Type	Text solution:1
Upvotes	151