Question

Which of the following gas samples would have the largest volume, if all samples are at the same temperature and pressure?

a 8x10^23 molecules of N2
b 0.107 moles CO2
c They would all have the same volume

Answer 1

a) 8×10²³ molecules of N2

Step-by-step explanation:

Let us consider the same temperature and pressure of both sample are standard temperature and pressure.

Standard temperature = 273.15 K

Standard pressure = 1 atm

Number of moles of CO₂ = 0.107 mol

Volume of CO₂ = ?

Solution:

PV = nRT

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

1 atm × V = 0.107 mol × 0.0821 atm.L /mol.K × 273.15 K

1 atm × V = 2.4 atm.L

V = 2.4 atm.L/1 atm

V = 2.4 L

Volume of N₂:

Number of moles of N₂:

1 mole = 6.022 ×10²³ molecules

8×10²³ molecules × 1 mol / 6.022 ×10²³ molecules

1.33 mol

PV = nRT

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

1 atm × V = 1.33 mol × 0.0821 atm.L /mol.K × 273.15 K

1 atm × V = 29.83 atm.L

V = 29.83 atm.L/1 atm

V = 29.83 L