Answer :
To find out how many grams of sodium are in 1.53 moles of sodium, you can use the molar mass of sodium and the number of moles given. Here’s the step-by-step process to solve the problem:
1. Identify the molar mass of sodium (Na):
The molar mass of sodium is given as [tex]\(22.99 \text{ g/mol}\)[/tex]. This means that one mole of sodium weighs 22.99 grams.
2. Identify the number of moles of sodium:
You are given [tex]\(1.53\)[/tex] moles of sodium. This is the amount of substance you have.
3. Use the relationship between moles and grams:
The number of grams can be found by multiplying the number of moles by the molar mass. The formula for this relationship is:
[tex]\[ \text{mass} = \text{number of moles} \times \text{molar mass} \][/tex]
4. Substitute the given values into the formula:
[tex]\[ \text{mass} = 1.53 \, \text{moles} \times 22.99 \, \text{g/mol} \][/tex]
5. Calculate the result:
By multiplying these values, you can find the mass of sodium:
[tex]\[ \text{mass} = 1.53 \times 22.99 \][/tex]
Using this method, we determine that the mass of sodium is:
[tex]\[ \text{mass} = 35.1747 \, \text{grams} \][/tex]
Thus, there are [tex]\(35.1747\)[/tex] grams of sodium in [tex]\(1.53\)[/tex] moles of sodium.
1. Identify the molar mass of sodium (Na):
The molar mass of sodium is given as [tex]\(22.99 \text{ g/mol}\)[/tex]. This means that one mole of sodium weighs 22.99 grams.
2. Identify the number of moles of sodium:
You are given [tex]\(1.53\)[/tex] moles of sodium. This is the amount of substance you have.
3. Use the relationship between moles and grams:
The number of grams can be found by multiplying the number of moles by the molar mass. The formula for this relationship is:
[tex]\[ \text{mass} = \text{number of moles} \times \text{molar mass} \][/tex]
4. Substitute the given values into the formula:
[tex]\[ \text{mass} = 1.53 \, \text{moles} \times 22.99 \, \text{g/mol} \][/tex]
5. Calculate the result:
By multiplying these values, you can find the mass of sodium:
[tex]\[ \text{mass} = 1.53 \times 22.99 \][/tex]
Using this method, we determine that the mass of sodium is:
[tex]\[ \text{mass} = 35.1747 \, \text{grams} \][/tex]
Thus, there are [tex]\(35.1747\)[/tex] grams of sodium in [tex]\(1.53\)[/tex] moles of sodium.
