Indicate whether each of the following statements is true or false.
1. One mole of NH3 weighs more than one mole of H2O
IS this false
2. There are equal numbers of hydrogen atoms in one mole of H2 and one mole of H20.
Is this true?
3. There are more hydrogen atoms in 2 moles of NH3 than in 2 moles of H20
Is this true?
Correct for all 3. Go to the top of the class.
To determine the truthfulness of each statement, we can utilize the concept of molar mass and Avogadro's number.
1. One mole of NH3 weighs more than one mole of H2O - This statement is true.
To confirm this, we can calculate the molar mass of both NH3 and H2O. The molar mass of NH3 is approximately 17 grams/mole (1 nitrogen atom with a molar mass of 14 g/mol + 3 hydrogen atoms each with a molar mass of 1 g/mol). On the other hand, the molar mass of H2O is approximately 18 grams/mole (2 hydrogen atoms each with a molar mass of 1 g/mol + 1 oxygen atom with a molar mass of 16 g/mol). Since the molar mass of NH3 is less than the molar mass of H2O, it is false to say that one mole of NH3 weighs more than one mole of H2O. Therefore, the statement is false.
2. There are equal numbers of hydrogen atoms in one mole of H2 and one mole of H2O - This statement is false.
To determine the number of hydrogen atoms, we can use Avogadro's number, which tells us the number of particles (atoms or molecules) per mole. Avogadro's number is approximately 6.022 x 10^23 particles/mol.
In one mole of H2, we have 2 moles of hydrogen atoms since H2 consists of two hydrogen atoms bonded together.
In one mole of H2O, we also have 2 moles of hydrogen atoms since there are two hydrogen atoms in each water (H2O) molecule. Therefore, both H2 and H2O contain an equal number of hydrogen atoms, and the statement is true.
3. There are more hydrogen atoms in 2 moles of NH3 than in 2 moles of H2O - This statement is true.
To calculate the number of hydrogen atoms in 2 moles of NH3, we multiply the number of moles (2) by Avogadro's number (6.022 x 10^23), resulting in approximately 1.204 x 10^24 hydrogen atoms.
Similarly, for 2 moles of H2O, we also multiply the number of moles (2) by Avogadro's number (6.022 x 10^23), resulting in the same number of hydrogen atoms, approximately 1.204 x 10^24 hydrogen atoms.
Since both compounds contain the same number of moles and each NH3 molecule contains three hydrogen atoms while each H2O molecule contains two hydrogen atoms, it is true to say that there are more hydrogen atoms in 2 moles of NH3 than in 2 moles of H2O.