The mass of 0.5 mole of nitrogen gas is: (1) greater than the mass of 0.5 mole of nitrogen atoms (2) less than the mass of 0.5 mole of nitrogen atoms (3) is equal to the mass of one mole of nitrogen atoms (4) is equal to the mass of 0.5 mole of nitrogen atoms
Answer (1)
To solve this question, let's begin by understanding the concept of moles and the atomic mass. A mole is a unit in chemistry that represents 6.022 × 1 0 23 particles (which can be atoms, molecules, or other specified entities). The atomic mass of an element is the mass of one mole of its atoms and is typically expressed in grams per mole.
Understanding Nitrogen :
Nitrogen atoms (4N) have an atomic mass of approximately 14 grams per mole.
Nitrogen gas (16N_2) is diatomic, meaning each molecule is composed of two nitrogen atoms, thus the molecular mass of nitrogen gas is approximately 28 grams per mole.
Calculating the Mass :
The mass of 0.5 mole of nitrogen atoms (14N) can be calculated as:
Mass of 0.5 mole of N atoms = 0.5 moles × 14 g/mole = 7 g
The mass of 0.5 mole of nitrogen gas (16N_2) can be calculated as:
Mass of 0.5 mole of N 2 = 0.5 moles × 28 g/mole = 14 g
Comparing the Masses :
14 grams (mass of 0.5 mole of 16N_2) is greater than 7 grams (mass of 0.5 mole of 14N).
Therefore, the correct option is (1) greater than the mass of 0.5 mole of nitrogen atoms.
