# How do you find the number of electrons given a mass fo the object?

• Bwilli
In summary, to calculate the number of electrons in a small, electrically neutral silver pin with a mass of 13.0 g, you can use the molar mass of silver and Avogadro's number. By dividing the mass of the pin by the molar mass and then multiplying by Avogadro's number and the number of electrons per atom, you can find that there are 3.41E24 electrons in the pin.
Bwilli

## Homework Statement

(a) Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 13.0 g. Silver has 47 electrons per atom, and its molar mass is 107.87 g/mole.

N/A

## The Attempt at a Solution

I thought to try using the molar mass given and dividing it by mass of the pin.
107.87g/mole / 13 g = 8.298 1/mole

After this point I didn't know what to do next

How many atoms are in a mole?

I think you were trying to find the number of moles of silver in the pin, but you would up with a unit of 1/moles in your calculation.

What does this tell you about how to do the calculation correctly?

Thanks a lot! I used avogadro's number.

(13g)/(107.87g/mole)*(6.022E23atoms/mole)*(47electrons) = 3.41E24 electrons in the silver pin

.

I would approach this problem by using the Avogadro's number and the atomic mass of silver. Avogadro's number, also known as the Avogadro constant, is a fundamental physical constant that represents the number of particles (atoms or molecules) in one mole of a substance. It is approximately equal to 6.022 x 10^23 particles per mole.

To find the number of electrons in the silver pin, we first need to determine the number of silver atoms present in the pin. This can be done by dividing the mass of the pin (13.0 g) by the molar mass of silver (107.87 g/mol). This gives us 0.1205 moles of silver atoms in the pin.

Next, we can use the fact that silver has 47 electrons per atom to calculate the total number of electrons in the pin.

Number of electrons = 0.1205 moles x 6.022 x 10^23 electrons/mole x 47 electrons/atom
= 3.223 x 10^23 electrons

Therefore, there are approximately 3.223 x 10^23 electrons in the silver pin.

## 1. How do you determine the number of electrons in an object?

The number of electrons in an object can be determined by dividing the mass of the object in grams by the atomic mass unit (1.66 x 10^-24 grams). This will give you the number of moles of the substance, and since one mole of any substance contains 6.022 x 10^23 particles, the number of electrons can be calculated by multiplying the number of moles by Avogadro's number.

## 2. Can the number of electrons in an object change?

Yes, the number of electrons in an object can change due to various chemical reactions or physical changes. During a chemical reaction, atoms can gain or lose electrons, resulting in a change in the number of electrons in the object.

## 3. Is the number of electrons in an object always equal to the number of protons?

In a neutral atom, the number of electrons is equal to the number of protons. However, in an ion, the number of electrons can differ from the number of protons, resulting in a positive or negative charge on the atom.

## 4. How does the number of electrons affect the properties of an object?

The number of electrons in an object can affect its properties in various ways. For example, the number of electrons determines the atom's reactivity, conductivity, and chemical bonding behavior. An increase or decrease in the number of electrons can also result in changes in the object's physical properties, such as melting point and boiling point.

## 5. Can the number of electrons in an object be measured directly?

The number of electrons in an object cannot be measured directly. However, scientists can indirectly measure the number of electrons using various techniques, such as X-ray crystallography or mass spectrometry, to determine the atomic structure and composition of an object.

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