Solveeit Logo
Login

Question

Question: How many moles of \(N_2\) are there in 4.3 \(\times\) \(10^{22}\) \(N_2\) molecules?...

How many moles of N2N_2 are there in 4.3 ×\times 102210^{22} N2N_2 molecules?

Explanation

Solution

A mole is one of the fundamental units which helps to calculate a big number. In any chemical reaction, the number of mole ratio of reactant and product is always fixed i.e., we always use a fixed number of molecules of reactant to form a fixed number of moles of product.

Complete step by step answer:
A mole is derived from a greek word called mol. which means a heap or pile. It is used to calculate a big number which is difficult to calculate in real numbers.
In the international system of units called SI system, mole is one of the fundamental units which help us to calculate the big numbers.
It is also called wogadron number in respect of Amedeo Avogadro and one mole of any substance (atoms, ions, molecules, electron neutron and proton) is equal to
11 mole =6.022×1023=6.022\times {{10}^{23}} particles.
In chemistry, mole is widely used to calculate the amount of substance formed, volume of gas released at standard temperature and pressure condition called STP, number of particles or molecules formed during a chemical reaction.
It also helps us to calculate the gram molecular mass and gram atomic mass of a substance.
In this question we have to find the number of moles in 4.3×10234.3\times {{10}^{23}} of N2{{\text{N}}_{2}} molecules.
One mole of atom contains NA number of atoms
Where NAN_A =6.022×1023=6.022\times {{10}^{23}} mol−1^{-1}
No of molecule == Given mol ×\times Avogadro's numbers
4.3×1023=4.3\times {{10}^{23}}= mole × 6.022×1023\times \,6.022\times {{10}^{23}}
4.3×10236.022×1023=\dfrac{4.3\times {{10}^{23}}}{6.022\times {{10}^{23}}}= mole of N2{{\text{N}}_{2}}
0.71=0.71= moles of N2{{N}_{2}}
Final Answer: Here from the formula we have get the number of moles of N2{{\text{N}}_{\text{2}}} i.e. 0.710.71 moles of N2{{\text{N}}_{2}} .

Note: Mole can also be find out by many ways
Number of moles = mass  of  given  atomgram  atomic  mass\dfrac{mass \;of\; given\; atom }{ gram \;atomic\; mass }
Number of moles =mass  of  given  moleculegram  molecular  mass\dfrac{ mass\; of \;given\; molecule}{gram\; molecular\; mass}
Number of moles = Given  volume  of  gas  at  STPmolar  volume  of  22.4Liter\dfrac{Given\; volume\; of\; gas\; at\; STP }{molar\; volume \;of \;22.4Liter}