Avogadro's Number And Mole Concept

Question

A weather balloon contains 2 moles of an ideal gas, so approximately how many gas molecules are present given Avogadro's number is 6.022 times ten to the twenty-third?

RankGuru · Accepted Answer

Solving this uses the mole concept and Avogadro's number as defined in NCERT Class 11, Chapter 13 (Kinetic Theory), where one mole of any substance contains exactly $N_A = 6.022 	imes 10^{23}$ particles. The total number of molecules equals the number of moles multiplied by Avogadro's number, $N = n 	imes N_A$. Substituting $n = 2$ moles gives $N = 2 	imes 6.022 	imes 10^{23} = 1.2044 	imes 10^{24}$ molecules, approximately $1.2 	imes 10^{24}$. The option $6.022 	imes 10^{23}$ corresponds to only one mole, ignoring the factor of two. The option $3.0 	imes 10^{23}$ mistakenly divides rather than multiplies by the mole count. The option $1.2 	imes 10^{23}$ has the correct leading digits but the wrong power of ten. A magnitude check reassures us: doubling one mole must double the molecule count, and multiplying $6 	imes 10^{23}$ by two correctly rolls over into the $10^{24}$ range, so $1.2 	imes 10^{24}$ is dimensionally and numerically sound.

Avogadro's Number And Mole Concept

Select the correct option:

🔒 Solution Hidden from View

More kinetic theory of gases Practice Questions

How does the mean free path of molecules in a gas sample change if the number density of molecules i...

As the temperature of a gas sample is increased, how does the shape of its Maxwell molecular speed d...

A rigid insulated tank contains a mixture of 2 moles of a monatomic gas and 2 moles of a diatomic ga...

Equal volumes of two different ideal gases are compared at the same temperature and pressure, so wha...

Which of the following assumptions is fundamental to the kinetic theory model of an ideal gas as des...

In a laboratory vacuum chamber the pressure of a gas is reduced to one-tenth of its initial value wh...

A rigid diatomic gas molecule at ordinary room temperature, ignoring vibrational modes, possesses ho...

When the absolute temperature of a fixed sample of ideal gas is raised from 300 K to 600 K, by what ...

Consider a tank of nitrogen molecules each of molar mass 28 grams per mole maintained at 300 K, so w...

For a sample of ideal gas at a given temperature, arrange the most probable speed, the average speed...

Two containers hold helium and oxygen respectively at the same absolute temperature, so how do the a...

Hydrogen and oxygen samples are kept at the same temperature, and given that oxygen is sixteen times...

About This Question

Solution