Question

sample of carbon dioxide is contained in a 500.0 mL flask at 0.955 atm and 15.9 ∘ C. How many molecules of gas are in the sample?

Answer 1

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Answer 2

Answer : The number of molecules of gas in a sample are $1.21\times 10^{22}$

Explanation :

First we have to calculate the moles of carbon dioxide gas in a sample.

$PV=nRT$

where,

P = pressure of carbon dioxide gas = 0.955 atm

V = volume of carbon dioxide gas = 500.0 mL  = 0.500 L

T = temperature of carbon dioxide gas = $15.9^oC=273+15.9=288.9K$

n = number of moles of carbon dioxide gas = ?

R = gas constant  = 0.0821 L.atm/mol.K

Now put all the given values in the ideal gas equation, we get:

$(0.955atm)\times (0.500L)=n\times (0.0821 L.atm/mol.K)\times (288.9K)$

$n=0.0201mol$

Now we have to calculate the number of molecules of gas in a sample.

As we know that, 1 mole of gas contains $6.022\times 10^{23}$ number of molecules of gas.

As, 1 mole of carbon dioxide gas contains $6.022\times 10^{23}$ number of molecules of gas.

So, 0.0201 mole of carbon dioxide gas contains $0.0201\times 6.022\times 10^{23}=1.21\times 10^{22}$ number of molecules of gas.

Therefore, the number of molecules of gas in a sample are $1.21\times 10^{22}$