A closed vessel having a volume of 1 liter holds 2.5 × 1022 molecules of carbon dioxide gas. Determine the mass of CO2 present, in kg and the number of moles, in kmol. Determine the specific volume of the CO2, in m3/kg, and the molar specific volume, in m3/kmol.

By the Avogadro's number, 1 mol of the matter has 6.02x10²³ molecules, thus, the number of moles (n) is the number of molecules presented divided by Avogadro's number:

n = 2.5x10²²/6.02x10²³

n = 0.041 mol

n = 4.1x10⁻⁵ kmol

The molar mass of CO₂ is 44 g/mol (12 g/mol of C + 2*16g/mol of O), and the mass is the number of moles multiplied by the molar mass:

m = 0.041 mol * 44 g/mol

m = 1.804 g

m = 1.8x10⁻³ kg

The specific volume (v) is the volume (1L = 0.001 m³) divided by the mass, and it represents how much volume is presented in each part of the mass:

v = 0.001/1.8x10⁻³

v = 0.55 m³/kg

The molar specific volume (nv) is the volume divided by the number of moles, and it represents how much volume is presented in each part of the mol:

nv = 0.001/4.1x10⁻⁵

nv = 24.4 m³/kmol

abhishekprakash2625 abhishekprakash2625 · Answer 2 · 2022-01-20T18:35:02+01:00

The study of the chemicals and the bonds is called chemistry.

The correct answer is 24.4

What are moles?

The mole is the base unit of the amount of substance in the International System of Units. It is defined as exactly [tex]6.02214076*10^{23 [/tex] elementary entities, which may be atoms, molecules, ions, or electrons.

All the data is given is as follows:-

Mass = 1.8x10⁻³
Number of moles = 4.1x10⁻⁵
Specific volume= 0.55
Molar specific volume = 24.4

By the Avogadro's number, 1 mole of the matter has 6.02x10²³ molecules, thus, the number of moles (n) is the number of molecules presented divided by Avogadro's number:

n = [tex]\frac{2.5*10^{22}}{{6.02*10^{23}}} [/tex]

n = 0.041 mol

n = [tex]4.1*106^{-5[/tex] kmol

The molar mass of CO₂ is 44 g/mol ([tex]12 g/mol of C + 2*16g/mol of O[/tex]), and the mass is the number of moles multiplied by the molar mass:

m = 0.041 mol * 44 g/mol

m = 1.804 g

m = [tex]1.8x10^{-3} kg[/tex]

The specific volume (v) is the volume (1L = 0.001 m³) divided by the mass, and it represents how much volume is presented in each part of the mass:

v = [tex]\frac{0.001}{1.8*10^{-3}}[/tex]

v = 0.55 m³/kg

The molar specific volume (nv) is the volume divided by the number of moles, and it represents how much volume is presented in each part of the mol:

nv = 0.001/4.1x10⁻⁵

nv = 24.4 m³/kmol

Hence, the correct answer is 24.4.

For more information about the moles, refer to the link:-

https://brainly.com/question/15209553