The common adult mole (Scalopus aquaticus)
weighs about 75 grams. So, how much would
a mole of moles weigh?
1. 4.51 × 10−22 kg
2. 4.51 × 1025 kg
3. 1.25 × 1022 kg
4. 1.25 × 10−19 kg
5. 1.25 × 10−22 kg
6. 4.51 × 1022 kg
75 g = 0 .075 kg
6.022140857 * 10^23 * 0.075 kg = 6.022140857 * 10^22 * 0.75
= approximately (3/4)(6)*10^22 = 4.5 * 10^22 kg
To find the weight of a mole of moles, we need to calculate the molar mass of the common adult mole (Scalopus aquaticus) and then multiply it by Avogadro's number.
Let's start with the molar mass of the common adult mole. The molar mass of an element or compound is the mass of one mole of that substance.
Given that the common adult mole weighs about 75 grams, we can say that its molar mass is 75 g/mol.
Next, we need to determine Avogadro's number, which is 6.022 x 10^23 particles per mole.
Now, we can calculate the weight of a mole of moles by multiplying the molar mass of the common adult mole by Avogadro's number:
Weight of a mole of moles = molar mass of common adult mole × Avogadro's number
Weight of a mole of moles = 75 g/mol × (6.022 x 10^23 particles/mol)
Calculating the above expression gives us:
Weight of a mole of moles ≈ 4.51 × 10^25 grams
Therefore, the correct answer is option 2. 4.51 × 10^25 kg.
To find the weight of a mole of moles, we need to determine the molar mass of a mole of moles.
The molar mass represents the mass of one mole of particles. In this case, we need to find the molar mass of a mole of moles.
Given that the common adult mole (Scalopus aquaticus) weighs about 75 grams, we can use this information to find the molar mass.
The molar mass of a substance is given by its atomic or molecular weight. However, since we are dealing with moles (animals) rather than atoms or molecules, we cannot directly use the atomic or molecular weight.
Instead, we need to convert the weight of the common adult mole to the molar mass of a mole of moles by using the concept of Avogadro's number.
Avogadro's number (6.022 × 10^23) represents the number of entities (atoms, molecules, or in this case, moles) in one mole of any substance.
Here's how we can calculate the molar mass of a mole of moles:
Step 1: Convert the weight of the common adult mole (75 grams) to kilograms: 75 grams = 0.075 kg (1 gram = 0.001 kg).
Step 2: Use Avogadro's number to convert the weight from kilograms to moles:
0.075 kg * (1 mole / molar mass of a mole of moles) = 6.022 × 10^23 moles.
Step 3: Solve for the molar mass of a mole of moles:
Molar mass of a mole of moles = 0.075 kg / (6.022 × 10^23 moles).
Now, let's evaluate the options given:
1. 4.51 × 10^−22 kg: This option is not consistent with the molar mass calculation.
2. 4.51 × 10^25 kg: This option is not consistent with the molar mass calculation.
3. 1.25 × 10^22 kg: This option is not consistent with the molar mass calculation.
4. 1.25 × 10^−19 kg: This option is not consistent with the molar mass calculation.
5. 1.25 × 10^−22 kg: This option is not consistent with the molar mass calculation.
6. 4.51 × 10^22 kg: This option is consistent with the molar mass calculation.
Therefore, the correct answer is option 6. A mole of moles would weigh approximately 4.51 × 10^22 kg.