Question

calculate the mass of 3.011×10 power 23 number of hydrogen atoms

Answer 1

Mass = Molar mass  × No : of moles

Molar mass of Hydrogen atom(H) = 1 g

No : of moles = Given no: of particles ÷ Avogadro no :

Given no: of particles =  3.011×10²³ 

∴ No : of moles =   3.011×10²³  ÷ 6.022 × 10²³
                         = 0.5 moles

Mass of hydrogen atom = 0.5 × 1
                                       = 0.5 grams

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Answer 2

Given: the number of hydrogen atoms, N = 3.011 x 10²³ atoms

To Find: mass of hydrogen, m.

Solution:

To calculate m, the formula used:

• Number of atoms = number of moles(n) x Avagardo's number(Nₐ)
• N = n x Nₐ
• here, Nₐ = 6.02 x 10²³ atoms
• n = mass (m) / Molecular mass(M)
• n = m / M

Applying the above formula:

N = n x Nₐ

3.011 x 10²³ = n x 6.02 x 10²³                       ⇒ 1

Now applying the formula of n:

n = m / M

M of hydrogen = 1g

n = m / 1

Putting the value of n in equation 1:

3.011 x 10²³ = ( m / 1)  x 6.02 x 10²³  

3.011 x 10²³ = m x 6.02 x 10²³ / 1  

3.011 x 10²³ = m x 6.02 x 10²³

m x 6.02 x 10²³ = 3.011 x 10²³

m  = 3.011 x 10²³ /  6.02 x 10²³

m  = 3.011 / 6.02

    = 0.5

m  = 0.5 g

Hence, the mass of  3.011 x 10²³hydrogen atoms is 0.5 g.