Calculate the number of moles lo
Section C (2:5-10)
10. Calculate the number of particles in each of the following
(1)12 g of Na atoms (in)25 g of O, molecules (11) 2 mole of carbon atoms
Answers
Number of particles of a given substance is given by ,
Number of moles is given by ,
(1) 12 g of Na
Given weight = 12 g
Atomic weight of Sodium = 23
Now , By applying the formula we get ;
⇛
⇛
Now , Number of particles is given by ;
⇛ Number of particles = 6.023 × 10²³ × 0.52
⇛ Number of particles = 3.13 × 10²³
━━━━━━━━━━━━━━━━━━━━━━━━
(2) 25 g of O molecule
Given weight = 25 g
Atomic weight of Oxygen molecule = 32
Now , By applying the formula we get ;
⇛
⇛
Now , Number of particles is given by ;
⇛ Number of particles = 6.023 × 10²³ × 0.78
⇛ Number of particles = 4.697 × 10²³
━━━━━━━━━━━━━━━━━━━━━━
(3) 2 moles of carbon atoms
Number of moles = 2
Now , Number of particles is give by ;
⇛ Number of particles = 6.023 × 10²³ × 2
⇛ Number of particles = 12.046 × 10²³
is avogadro number.
\LARGE\underline{\pink{\sf{Required\:answer:-}}}
Requiredanswer:−
Number of particles of a given substance is given by ,
\boxed{ \sf{number \: of \: particles =n \times N_A}}
numberofparticles=n×N
A
Number of moles is given by ,
\large\boxed{\sf{n=\dfrac{Given\:weight}{Atomic\:weight}}}
n=
Atomicweight
Givenweight
(1) 12 g of Na
Given weight = 12 g
Atomic weight of Sodium = 23
Now , By applying the formula we get ;
⇛ \sf{n=\dfrac{12}{23}}n=
23
12
⇛ {\sf{n=0.52\:mol}}n=0.52mol
Now , Number of particles is given by ;
⇛ Number of particles = 6.023 × 10²³ × 0.52
⇛ Number of particles = 3.13 × 10²³
━━━━━━━━━━━━━━━━━━━━━━━━
(2) 25 g of O molecule
Given weight = 25 g
Atomic weight of Oxygen molecule = 32
Now , By applying the formula we get ;
⇛ \sf{n=\dfrac{25}{32}}n=
32
25
⇛ {\sf{n=0.78\:mol}}n=0.78mol
Now , Number of particles is given by ;
⇛ Number of particles = 6.023 × 10²³ × 0.78
⇛ Number of particles = 4.697 × 10²³
━━━━━━━━━━━━━━━━━━━━━━
(3) 2 moles of carbon atoms
Number of moles = 2
Now , Number of particles is give by ;
⇛ Number of particles = 6.023 × 10²³ × 2
⇛ Number of particles = 12.046 × 10²³
\LARGE\underline{\pink{\sf{Note:-}}}
Note:−
\sf{N_A}N
A
is avogadro number.