Question

What is Total number of atoms in 46g of NO2 is: (N=14u, O=16u)

a) 6.022 x 1023
b) 6.022 x 1024
c) 1.806 x 1024
d) 1.806 x 1022​

Answer 1

Required Answer:-

We have:

• 46 g of NO2

To FinD:

• Total no. of atoms in the given mass?

Step-by-step Explanation:

GiveN mass of Aluminium oxide = 46 g

Molecular mass = 14 + 2 × 16 = 46

No. of moles of NO2:

= Given Mass / Molecular mass

= 46 g / 46 g

= 1 mole of NO2

We know that, 1 mole of any compound contains 6.022 × 10²³ molecules. Then$,$

No. of molecules in 1 moles NO2:

= 1 × 6.022 × 10²³

= 6.022 × 10²³ molecules of NO2

1 molecule of NO2 contains 1 atoms of Nitrogen and 2 atoms of oxygen. Total there is 3 atoms in each molecule.

No. of atoms in 1 molecule of NO2:

= 6.022 × 10²³ × 3

= 18.066 × 10²³

= 1.8066 × 10²⁴ atoms in total.

Hence:

• There are 1.806 × 10²⁴ atoms in the given mass of NO2 (Option C).

Answer 2

$\huge{\boxed{\rm{Question}}}$

What is Total number of atoms in 46 g of NO2 is –

• (N = 14u, O = 16u)

❶ 6.022 × 1023

❷ 6.022 × 1024

❸ 1.806 × 1024

❹ 1.806 × 1022

$\huge{\boxed{\rm{Answer}}}$

$\large{\boxed{\boxed{\sf{Given \: that}}}}$

• 46 grams of NO2.

$\large{\boxed{\boxed{\sf{To \: find}}}}$

• Total number of atoms in given mass.

• The given mass is (N = 14u, O = 16u)

$\small{\boxed{\boxed{\sf{What \: is \: meant \: by \: NO2}}}}$

$\small{\boxed{\boxed{\sf{R \: u \: confused}}}}$

$\small{\boxed{\boxed{\sf{Yes \: we \: r \: little \: bit \: confused}}}}$

$\small{\boxed{\boxed{\sf{No \: need \: to \: worry \: let's \: see \: what \: is \: this}}}}$

What is NO2 ?

It means aluminium oxide. It's the chemical formula of aluminium oxide. That's why it's known to be NO2 ! A molecule of NO2 contains one atom of Nitrogen and two atoms of oxygen. Means there are total three atoms of each molecule.

$\large{\boxed{\boxed{\sf{Solution}}}}$

• Total number of atoms in given mass = 1.806 × 10²⁴.

$\large{\boxed{\boxed{\sf{Using \: formulas}}}}$

• Moles = Given mass / Given molecular mass.

$\large{\boxed{\boxed{\sf{Knowledge \: required}}}}$

• A mole of any content contains 6.022 × 10²³ molecules.

$\large{\boxed{\boxed{\sf{What \: does \: the \: question \: says}}}}$

$\large{\boxed{\boxed{\sf{Let's \: see \: the \: concept \: now}}}}$

• This question says that there mass of NO2 = 46 grams. The mass are given as (N = 14u, O = 16u). Now we have to find the total number of atoms in NO2. Some options / hints are given below ↓

❶ 6.022 × 1023

❷ 6.022 × 1024

❸ 1.806 × 1024

❹ 1.806 × 1022

$\large{\boxed{\boxed{\sf{How \: to \: solve \: this \: question}}}}$

$\large{\boxed{\boxed{\sf{Let's \: see \: the \: procedure \: now}}}}$

• To solve this question we have to use formula as we use in the other's question also. But before that we have to find the molecular mass we have find it now the result is 46 grams. After that using the formula Mole = Given mass / Given molecular mass. putting the values we get no. of moles that is 1. After that we have to find Number of molecule in a mole of aluminium oxide putting the values Molecule in a mole = 6.022 × 10²³. Afterthat Number of atom in a molecule of aluminium oxide that is 1.806 × 10²⁴.

$\large{\boxed{\boxed{\sf{Full \: solution}}}}$

✟ According to the question we already know that what is given or what to find. Let see it again !!

• Mass of aluminium oxide. ( Given )

• Value of its mass = (N = 14u, O = 16u) ( Given )

• Total number of atom in NO ( To find ).

✟ Let's carry on,

Mass of NO = 46 grams.

Molecular mass =

• Molecular mass = 14 + 2 × 16.
• Molecular mass = 14 + 32
• Molecular mass = 46

$\bold{\pink{\fbox{\pink{Molecular mass = 46 g}}}}$

✟ Finding the number of miles in NO2 ; we have to use the given formula ➝

• Given mass / Given molecular mass.

Putting the values according to this formula we get the following results ➝

➱ Mole = Given mass / Given molecular mass.

➱ Mole = 46 g / 46 g

➱ Mole = 46/46

➱ Mole = 1

$\bold{\pink{\fbox{\pink{Mole = 1}}}}$

✟ As we already know that a mole of any content contains 6.022 × 10²³ molecules.

Number of molecule in a mole of aluminium oxide →

➱ Molecule in a mole = 1 × 6.022 × 10²³

➱ Molecule in a mole = 6.022 × 10²³

✟ We already discussed that a molecule of NO2 contains one atom of Nitrogen and two atoms of oxygen. Means there are total three atoms of each molecule.

Number of atom in a molecule of aluminium oxide →

➱ Atom in a molecule = 6.022 × 10²³ × 3

➱ Atom in a molecule = 6.022 × 3 × 10²³

➱ Atom in a molecule = 18.066 × 10²³

➱ Atom in a molecule = 18066/1000 × 10²³

➱ Atom in a molecule = 1.806 × 10²⁴

Hence, Option ❸ 1.806 × 10²⁴ is the required answer. Means total number of atoms are 1.806 × 10²⁴