Answer:
Option A is correct: You have three times the number of particles that are in 12 grams of carbon-12
Explanation:
Data given:
3 moles of substance equal to how many particles of 12 g of carbon-12.
Solution:
First we find the number of particles in 3 moles of substance
Formula used
no. of moles = no. of particles / Avogadro's number
Rearrange the above formula
no. of particles = no. of moles x Avogadro's number . . . . . . . . (1)
Where
Avogadro's number = 6.022 x 10²³
Put values in above equation
no. of particles = 3 x 6.022 x 10²³ (particles/mol)
no. of particles = 1.8066 x 10²⁴ Particles
So,
3 mole of substance have 1.8066 x 10²⁴ Particles
Now
we have to find number of particles in 12 g of carbon-12
for this first find no. of moles
formula used
no. of moles = mass in grams/ molar mass . . . . . (2)
molar mass of carbon = 12 g/mol
Put values in equation 2
no. of moles = 12 g / 12 (g/mol)
no. of moles = 1 mole
So,
12 g of carbon 12 equal to 1 mole.
According to Avogadro's law 1 mole of any substance consists of 6.022 x 10²³ number of particles.
So
1 mole carbon = 6.022 x 10²³ particles
and 3 mole of substance = 1.8066 x 10²⁴ Particles
It means that we have three times number of particles that are in 12 g of carbon-2
So, Option A is correct.
A. You have three times the number of particles that are in 12 grams of carbon-12.
