A pure gold coin contains 0.147 mol of gold(Au). What is its mass in grams? Note that molar mass of gold is 196.97 g/mol.
Just multiply the molar mass of gold with the number of moles of gold to cancel out the moles in the denominator:
0.147 mol * 196.97 g/mol = 28.95459 grams
0.147 mol * 196.97 g/mol = 28.95459 grams
NOTE: Just as a side note, you have 3 places in 0.147 so you can't have more than 3 in the answer so I would round 28.95459 to 29.0
To find the mass of the pure gold coin in grams, you can use the concept of molar mass and the given value of the number of moles. Here's how you can calculate it step by step:
1. Convert the number of moles of gold (Au) to grams using the molar mass of gold.
Mass = Number of moles × Molar mass
Given that the number of moles of gold is 0.147 mol and the molar mass of gold is 196.97 g/mol:
Mass = 0.147 mol × 196.97 g/mol
2. Calculate the mass:
Mass ≈ 28.911 g (rounded to three decimal places)
Therefore, the mass of the pure gold coin is approximately 28.911 grams.