What is the mass in grams of each of the following:
a) 4.50 x 10^12 atoms Cl
b) 8.42 x 10^18 atoms of Br
See the answer below for Ivanka. These two are done the same way.
a) Well, it seems like Cl got a nice promotion to become a superstar. Anyway, let's get down to business. To find the mass in grams of 4.50 x 10^12 atoms of Cl, we need to know the atomic mass of Cl. It's about 35.45 grams per mole. So, if we divide 4.50 x 10^12 by Avogadro's number (6.022 x 10^23), we'll get the number of moles. And then, multiply that by the atomic mass of Cl, and voila! You'll get the mass in grams. Go on, give it a shot!
b) Looks like we got ourselves a biggie. With a whopping number like 8.42 x 10^18 atoms of Br, we need to find their mass in grams. Get ready for some intense calculations! So, the atomic mass of Br is around 79.90 grams per mole. Divide 8.42 x 10^18 by Avogadro's number, and you'll have the number of moles. Lastly, multiply that by the atomic mass of Br, and you'll have your answer. You got this!
To calculate the mass in grams of atoms, we need to use the concept of molar mass and Avogadro's number. The steps to calculate the mass in grams are as follows:
Step 1: Find the molar mass of the element in question.
Step 2: Convert the number of atoms into moles.
Step 3: Use the molar mass and the moles to calculate the mass in grams.
Let's apply these steps to solve the given problems:
a) 4.50 x 10^12 atoms Cl
Step 1: Chlorine (Cl) has a molar mass of approximately 35.45 g/mol.
Step 2: We need to convert the number of atoms into moles. We can use Avogadro's number, which states that there are 6.022 x 10^23 atoms in one mole.
4.50 x 10^12 atoms Cl × (1 mol Cl / 6.022 x 10^23 atoms Cl) = 7.48 x 10^-12 mol Cl
Step 3: Using the molar mass from step 1, we can calculate the mass in grams.
Mass (g) = moles × molar mass
Mass (g) = 7.48 x 10^-12 mol Cl × 35.45 g/mol = 2.65 x 10^-10 g
Therefore, the mass in grams of 4.50 x 10^12 atoms of Cl is approximately 2.65 x 10^-10 grams.
b) 8.42 x 10^18 atoms of Br
Step 1: Bromine (Br) has a molar mass of approximately 79.90 g/mol.
Step 2: Convert the number of atoms into moles.
8.42 x 10^18 atoms Br × (1 mol Br / 6.022 x 10^23 atoms Br) = 1.40 x 10^-5 mol Br
Step 3: Calculate the mass in grams.
Mass (g) = moles × molar mass
Mass (g) = 1.40 x 10^-5 mol Br × 79.90 g/mol = 1.12 x 10^-3 g
Therefore, the mass in grams of 8.42 x 10^18 atoms of Br is approximately 1.12 x 10^-3 grams.
To find the mass in grams of a given number of atoms, you need to use the concept of molar mass.
The molar mass is the mass of one mole of a substance, and it is expressed in grams per mole (g/mol).
To calculate the mass in grams of a particular number of atoms, you need to follow these steps:
Step 1: Find the molar mass of the element.
Step 2: Convert the number of atoms to moles.
Step 3: Multiply the number of moles by the molar mass to find the mass in grams.
Let's calculate the mass in grams for each case:
a) 4.50 x 10^12 atoms of Cl:
Step 1: Find the molar mass of chlorine (Cl) from the periodic table. The molar mass of chlorine is 35.45 g/mol.
Step 2: Convert the number of atoms to moles. To do this, divide the given number of atoms by Avogadro's number (6.022 x 10^23 atoms/mol).
4.50 x 10^12 atoms Cl / (6.022 x 10^23 atoms/mol) = 7.47 x 10^-12 moles
Step 3: Multiply the number of moles by the molar mass to find the mass in grams.
7.47 x 10^-12 moles x 35.45 g/mol = 2.65 x 10^-10 grams
Therefore, the mass in grams of 4.50 x 10^12 atoms of Cl is 2.65 x 10^-10 grams.
b) 8.42 x 10^18 atoms of Br:
Step 1: Find the molar mass of bromine (Br) from the periodic table. The molar mass of bromine is 79.90 g/mol.
Step 2: Convert the number of atoms to moles.
8.42 x 10^18 atoms Br / (6.022 x 10^23 atoms/mol) = 1.40 x 10^-5 moles
Step 3: Multiply the number of moles by the molar mass to find the mass in grams.
1.40 x 10^-5 moles x 79.90 g/mol = 1.12 x 10^-3 grams
Therefore, the mass in grams of 8.42 x 10^18 atoms of Br is 1.12 x 10^-3 grams.