How Many Grams Are In 11.9 Moles Of Chromium?
The correct answer and explanation is :
To determine how many grams are in 11.9 moles of chromium (Cr), we need to follow a straightforward conversion process using the molar mass of chromium.
Step 1: Molar Mass of Chromium (Cr)
The molar mass of an element is the mass of one mole of that element in grams. Chromium has an atomic number of 24. Its atomic mass is approximately 52.00 grams per mole. This means one mole of chromium weighs 52.00 grams.
Step 2: Conversion from Moles to Grams
The relationship between moles and grams can be described by the following equation:
[
\text{Mass (grams)} = \text{Moles} \times \text{Molar Mass (grams per mole)}
]
Step 3: Plugging in the Values
We are given:
- 11.9 moles of chromium (Cr)
- Molar mass of chromium = 52.00 grams per mole
Now, multiply the number of moles by the molar mass to get the mass in grams:
[
\text{Mass} = 11.9 \, \text{moles} \times 52.00 \, \text{g/mol}
]
[
\text{Mass} = 618.8 \, \text{grams}
]
Final Answer:
11.9 moles of chromium weigh 618.8 grams.
Explanation:
- Moles: A mole is a standard scientific unit that measures the amount of substance. It is based on the number of atoms, ions, or molecules in one mole (Avogadro’s number, approximately (6.022 \times 10^{23})). This unit allows scientists to quantify elements and compounds at the atomic or molecular scale.
- Molar Mass: The molar mass of an element is the mass of one mole of that element. It is usually given in grams per mole (g/mol) and is numerically equivalent to the atomic weight of the element in unified atomic mass units (amu). For chromium, the molar mass is 52.00 g/mol, which tells us how much one mole of chromium weighs.
By using these relationships, we can easily convert between moles and grams for any substance, given its molar mass.