Question

A \[124g\] of \[{{P}_{4}}\] will contain which of the following?
a.\[4\] atoms of Phosphorus
b.\[4{{N}_{A}}\] atoms of Phosphorus
c.\[{{N}_{A}}\] atoms of Phosphorus
d.1 molecule of Phosphorus
1.a and d
2.b and c
3.a and c
4.b and d

Answer 1

Hint:Molar mass in grams of any element or a compound is equal to its molecular mass in an atomic mass unit. One mole of any element or a compound is equal to \[6.022\times {{10}^{23}}\] molecules.

Complete step by step answer:
Mass number of Phosphorus element\[P=31u\]
Molecular mass of \[{{P}_{4}}=124u\]
Thus, molar mass of \[{{P}_{4}}=124g\]
Thus, \[124g\] of \[{{P}_{4}}\] contains \[6.022\times {{10}^{23}}\] molecules, which is equal to Avogadro Constant, \[{{N}_{A}}\].
Which leads to the conclusion that c) is correct.
Now the \[1\] molecule of \[{{P}_{4}}\] contains \[4\] atoms of \[P\].
Thus,\[124g\] of \[{{P}_{4}}\] contains \[4{{N}_{A}}\] atoms of Phosphorus.
Which leads to the conclusion that b) is correct.
Hence, options b) and c) are correct.

So, option 2 is correct.

Additional Information:
1 mole of a molecule contains\[6.022\times {{10}^{23}}\] molecules, this number is known as Avogadro Constant, \[{{N}_{A}}\]
This is known as mole concept. Molar mass in grams is equal to molecular mass in atomic mass units.

Note:
Mass number of an element is the sum of the number of protons and neutrons in the atom’s nucleus. Phosphorus has\[15\] protons and \[16\] neutrons hence its mass number is \[15+16=31u\].