Which of the following contains the greatest number of particles?
A) 4g of helium gas
B) 4g of oxygen gas
C) 4g of hydrogen gas
D) 4g of water
Why is the answer C? Pls explain to me clearly, thks!
How many mols of each do you have? mols = grams/molar mass
A is 4/4 = 1 mol
B is 4/32 = 0.125 mol
C is 4/2 = 2 mol
D is 4/18 = 0.222 mol
A mole of anything contains 6E23 particles.
A is 1 x 6E23 = ?
B is 0.125 x 6E23 = ?
C is 2 x 6E23 = ?
D is 0.222 x 6E23 = ?
The one with the most mols contains the most particles.
Study
Well, my friend, let me explain it to you with a touch of humor. Imagine you're having a party - a tiny particle party, of course. In this party, you invite equal numbers of helium, oxygen, hydrogen, and water particles.
Let's start with helium gas (A). Helium particles are like those cool, laid-back partygoers who take up very little space and don't mind squeezing together. So, even though you have 4 grams of helium, they don't take up much room.
Next, we have oxygen gas (B). Oxygen particles are a bit more social than helium particles, but they still don't take up a lot of space. So, 4 grams of oxygen will give you a few more guests than helium, but not a crazy number.
Now, let's move on to hydrogen gas (C). Hydrogen particles are known party animals! They love to mingle, laugh, and take up lots of space. Because of this, even with just 4 grams of hydrogen, you'll have a significantly larger number of hydrogen gas particles compared to helium and oxygen.
Lastly, we have water (D). Water particles are like a double-decker bus full of party animals. Each water molecule is made up of two hydrogen atoms and one oxygen atom. So, in 4 grams of water, you have both hydrogen and oxygen particles. However, since hydrogen gas particles take up more space, the majority of the particles in 4 grams of water will be hydrogen particles. So, the answer is C - 4 grams of hydrogen gas contains the greatest number of particles!
I hope that explanation helped, and I hope the particles have a wonderful time at your imaginary party!
To determine which of the given options contains the greatest number of particles, we need to compare the number of particles using the concept of moles. The number of particles in a substance can be measured using Avogadro's number, which states that one mole of any substance contains 6.022 × 10^23 particles.
First, let's calculate the number of moles for each option using their respective molar masses:
A) 4g of helium gas:
Molar mass of helium (He) = 4.00 g/mol
Number of moles = mass / molar mass = 4g / 4.00 g/mol = 1 mole
B) 4g of oxygen gas:
Molar mass of oxygen (O2) = 32.00 g/mol
Number of moles = mass / molar mass = 4g / 32.00 g/mol = 0.125 moles
C) 4g of hydrogen gas:
Molar mass of hydrogen (H2) = 2.02 g/mol
Number of moles = mass / molar mass = 4g / 2.02 g/mol ≈ 1.98 moles
D) 4g of water:
Molar mass of water (H2O) = 18.02 g/mol
Number of moles = mass / molar mass = 4g / 18.02 g/mol ≈ 0.222 moles
Comparing the number of moles, we can see that option C, 4g of hydrogen gas, has the greatest number of moles (approximately 1.98 moles). Since moles represent the quantity of particles, the option with the greatest number of moles will also have the greatest number of particles.
Therefore, the answer is C) 4g of hydrogen gas.
To determine which of the given options contains the greatest number of particles, we need to compare the number of particles using the concept of molar mass and Avogadro's number.
First, let's calculate the number of moles for each substance using their molar masses:
A) 4g of helium gas:
The molar mass of helium (He) is approximately 4 g/mol.
Number of moles = mass / molar mass = 4g / 4 g/mol = 1 mole
B) 4g of oxygen gas:
The molar mass of oxygen (O2) is approximately 32 g/mol.
Number of moles = mass / molar mass = 4g / 32 g/mol = 0.125 moles
C) 4g of hydrogen gas:
The molar mass of hydrogen (H2) is approximately 2 g/mol.
Number of moles = mass / molar mass = 4g / 2 g/mol = 2 moles
D) 4g of water:
The molar mass of water (H2O) is approximately 18 g/mol.
Number of moles = mass / molar mass = 4g / 18 g/mol ≈ 0.222 moles
Now, to compare the number of particles in each substance, we can multiply the number of moles by Avogadro's number, which is 6.022 × 10^23 particles/mol.
A) Number of particles = number of moles * Avogadro's number = 1 mole * 6.022 × 10^23 particles/mol = 6.022 × 10^23 particles
B) Number of particles = number of moles * Avogadro's number = 0.125 moles * 6.022 × 10^23 particles/mol ≈ 7.53 × 10^22 particles
C) Number of particles = number of moles * Avogadro's number = 2 moles * 6.022 × 10^23 particles/mol = 1.2044 × 10^24 particles
D) Number of particles = number of moles * Avogadro's number = 0.222 moles * 6.022 × 10^23 particles/mol ≈ 1.3324 × 10^23 particles
Comparing the calculated values, we can see that 4g of hydrogen gas (option C) contains the greatest number of particles, which is approximately 1.2044 × 10^24 particles.