Question

Gas is contained in a 9.00-L vessel at a temperature of 24.0°C and a pressure of 5.00 atm. (a) Determine the number of moles of gas in the vessel. mol (b) How many molecules are in the vessel? molecules

Answer 1

The number of moles of gas in the vessel is 1.7106 mol. The number of molecules in the vessel is 1.029 × 10^24.

Step-by-step explanation:

(a) Determine the number of moles of gas in the vessel:

The ideal gas law, PV = nRT, can be used to find the number of moles of gas:

n = PV/RT

Plugging in the values, n = (5.00 atm)(9.00 L)/(0.0821 L.atm/mol.K)(24.0°C + 273.15) = 1.7106 mol

(b) How many molecules are in the vessel:

Avogadro's number, 6.022 × 10^23, represents the number of molecules in 1 mole of a substance. Therefore, the number of molecules in the vessel is:

Number of molecules = n × Avogadro's number = 1.7106 mol × 6.022 × 10^23 = 1.029 × 10^24

Answer 2

a. Moles in the vessel = 1.85 moles of the gas

b. 1.11x10²⁴ molecules are in the vessel

Step-by-step explanation:

a.It is possible to determine moles of a gas using the general law of gases:

PV = nRT

Where P is pressure: 5.00atm; V is volume = 9.00L; R is gas constant: 0.082atmL/molK; T is absolute temperature: 273.15K +24.0 = 297.15K

Computing the values:

PV / RT = n

5.00atm* 9.00L / 0.082atmL/molK*297.15K = n

Moles in the vessel = 1.85 moles of the gas

b. With Avogadro's number we can convert moles of any compound to molecules thus:

Avogadro's number = 6.022x10²³ molecules / mole

1.85moles ₓ (6.022x10²³ molecules / mole) =

1.11x10²⁴ molecules are in the vessel