At the same temperature and pressure, 15L of CO2 gas has the same amount of molecules as what volume of N2 gas?

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At the same temperature and pressure, 15L of CO2 gas has the same amount of molecules as what volume of N2 gas?

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MichaelMet 3 years 2021-09-03T14:47:59+00:00 1 Answers 7 views 0

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  1. thuthao
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    2021-09-03T14:49:11+00:00
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    Answer: 15 L of N_2 gas will have same numer of molecules as 15L of CO_2 gas at the same temperature and pressure,

    Explanation:

    According to avogadro’s law, equal moles of gases occupy equal volume at same conditions of temperature and pressure.

    \text{Number of moles}=\frac{\text{Given volume}}{\text{Molar volume}}

    \text{Number of moles of} CO_2=\frac{15L}{22.4L/mol}=0.67mol

    1 mole of CO_2 contains=6.022\times 10^{23}  molecules of CO_2  

    Thus 0.67 moles of CO_2 contains=\frac{6.022\times 10^{23}}{1}\times 0.67=4.03\times 10^{23} molecules

    Now molecules of N_2 = molecules of CO_2 = 4.03\times 10^{23}

    6.023\times 10^{23} molecules of N_2  = 22.4 L

    Now 4.03\times 10^{23}  molecules of N_2 = \frac{22.4}{6.023\times 10^{23}}\times 4.03\times 10^{23}=15L

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