Fungal laccase, a blue protein found in wood-rotting fungi, is 0.390$\% \mathrm{Cu}$ by mass. If a fungal laccase molecule contains four copper atoms, what is the molar mass of fungal laccase?

Short Answer

Expert verified
The molar mass of fungal laccase is approximately \(65303.08\) g/mol.

Step by step solution

01

Determine the mass of the copper atoms in one fungal laccase molecule

We know that there are 4 copper atoms in one fungal laccase molecule. We can use the molar mass of copper from the periodic table, which is 63.55 g/mol. Therefore, the mass of 4 copper atoms is mass of 4 copper atoms = 4 × 63.55 g/mol
02

Calculate the total mass of the fungal laccase molecule

We know that copper accounts for 0.390% of the total mass of the fungal laccase molecule. First, we will convert the percentage to a decimal by dividing it by 100. Then, we will set up the following equation to find the mass of the fungal laccase molecule (x): mass of 4 copper atoms = (0.390 ÷ 100) × x 4 × 63.55 = 0.0039x
03

Calculate the molar mass of fungal laccase

Let's solve the equation from Step 2 for x by dividing both sides by 0.0039. x will give us the total molar mass of the fungal laccase molecule. x = (4 × 63.55) ÷ 0.0039 Now, by calculating the value of x, we get the molar mass of fungal laccase: Molar mass of fungal laccase ≈ \( (4 \times 63.55) \div 0.0039 \approx 65303.08\) g/mol.

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