How many grams are there in 2.3X10 exponent 24 atoms of silver?

Answer 1

1 g = 6.023*10^23 amu (atomic mass unit)
This is Avogadro's number (IOW, the number of particles in a mole).

atomic mass of silver (Ag) = 107.9 amu

total mass = number of atoms x atomic mass
= 2.3*10^24*107.9 amu
= 2.3*10^24*107.9/6.023*10^23 g
= 412.04 g
= 410 g (to 2 sig. fig.)

Answer 2

The gram atomic weight of silver is 108. That means that for every mole (6.23 x 10^23 atoms) of silver, its weight (actually its mass), is 108 grams.

To find the number of grams of a substance when we know the number of atoms a sample contains, we can follow this general equation:

x = g. a. w. x [(# atoms) / (atoms / g. a. w.)],

where g. a. w. is the gram atomic weight of the substance and # atoms is the known number of atoms in the sample.

Plugging the known variables directly into this equation, we get this:

x = 108 g / g. a. w. x [( 2.3 x 10^24 atoms) / (6.23 x 10^23 atoms) / g. a. w.)].

We invert and cancel units where appropriate, and in this case, all but grams cancel out. This gets us:

x = 108 g x (2.3 x 10^24 / 6.23 x 10^23) = 108 g x (3.69) = 398.52 g (approximately).

Answer 3

To calculate the answer, you must determine the number of moles of silver that you have and then multiply that number by the atomic mass of silver.

(number of atoms/Avogadro's number) x atomic mass = the mass of the substance that you have

(2.3 x 10^24/6.02 x 10^23) x 107.87 = the mass of silver that you have

If the teacher uses molecules instead of atoms, you would follow the same procedure.

Answer 4

for this question, you have to use the formula "given mass(GM)= no.of moles(N)*molar mass(MM).
=> molar mass of silver(Ag) = 108 which has 6.022*10^23 as whole no. of particles
=> no. of moles = 2.3*10^24.
now, let us divide 108 with 6.022.(leave of 10^23)
=> 17.93. now, let us multiply this answer with the no. of moles, ie, 2.3*10=23(as to compensate with the no. of molecules) (leave the 10^24 here too).
=> now we get the answer as 412.49 and by rounding it off, we find out the no. of moles as...
412.