Hi! I know I asked this before, but I still don't understand how to solve the problem:"Since a hydrogen atom consists of one proton and one electron, it should have a mass of 1.763 x 10^-24 grams. Using unit factoring, calculate how may hydrogen atoms you'd have if you had 5.6 g of hydrogen." What is a method I can use to better understand this? Thank you very much!!
Put the problem into apples (or oranges) and see if that doesn't help.
The mass of an apple is 100 grams. Using the unit factor method, calculate how many apples you have if they weigh 500 grams?
(100 g/apple) x # apples = 500 g
Solve for # apples = 500/100 = 5
PROOF: 100g/apple x 5 apples = 500 grams total.
Or said another way, if you have 500 g apples and each has a mass of 100 g, how many apples do you have? That is 500/100 = 5 apples at 100 g each.
(1.763E-24 g/one H atom) x # H atoms = 5.6g.
# H atoms = 5.6/1.763E-24 = ?
If you still don't get it please explain what it is you don't understand. I'm working in the dark here with just a "I don't understand" statement.
To solve this problem, you can use unit factoring, also known as dimensional analysis or the factor-label method. It involves setting up conversion factors, or ratios, to convert from one unit to another. Here's how you can do it step-by-step:
Step 1: Write down what you know:
- The mass of one hydrogen atom is given as 1.763 x 10^-24 grams
- You have 5.6 grams of hydrogen
Step 2: Set up a conversion factor to convert from grams to atoms:
- The conversion factor is the ratio of the two masses. In this case, it is 1 hydrogen atom / 1.763 x 10^-24 grams.
Step 3: Cancel out units:
- Multiply the given quantity (5.6 grams) by the conversion factor, making sure to place the given quantity in a way that the units cancel out. This means multiplying by the inverse of the conversion factor or by the conversion factor with the units flipped.
Step 4: Calculate the answer:
- Multiply the numbers together to get the final result.
In this specific problem, you would set up the conversion factor as follows:
5.6 grams × (1 hydrogen atom / 1.763 x 10^-24 grams)
Now, let's calculate the answer:
5.6 grams / 1.763 x 10^-24 grams = 3.17 x 10^23 hydrogen atoms
Therefore, if you had 5.6 grams of hydrogen, you would have approximately 3.17 x 10^23 hydrogen atoms.
I hope this explanation helps you better understand how to approach and solve this type of problem using unit factoring! Let me know if you have any further questions.