At a pressure of one billionth (10–9) of atmospheric pressure, there are about 2.7 × 1010 molecules in one cubic centimeter of a gas. How many molecules is this per cubic meter

Respuesta :

Answer:

Required answer =  2.7 x 10^16 MOLECULES

Explanation:

We know that

1 m = 100 cm

so 1 m^3 = (100 cm)^3 = 1000000 cm^3 = 1 x 10^6 cm3

as per question, 2.7*10^{10} molecules in 1 cm^3

so number of molecules in 1 m^3

Number of molecules = ( 2.7 x 10^10 molecules /1 cm^3 ) x ( 1 x 10^6 cm3 / 1 m3)

Number of molecules = 2.7 x 10^10 x 1 x 10^6 = 2.7 x 10^16 per m3

Required answer =  2.7 x 10^16 MOLECULES

The number of the molecules of the gas is cubic meter is 2.7 x 10¹⁶ molecules/m³.

Relationship between cubic meter and cubic center meter

A cubic meter can be converted into a cubic centimeter by multiplying the volume by 1 x 10⁶

Number of molecules of the gas in 1 cubic meter

The number of the molecules of the gas is calculated as follows;

[tex]N = (2.7 \times 10^{10})/cm^3 \times \frac{1 \times 10^6 \ cm^3}{1 \ m^3} \\\\N = 2.7 \times 10^{16} \ molecules/m^3[/tex]

Thus, the number of the molecules of the gas is cubic meter is 2.7 x 10¹⁶ molecules/m³.

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