The molar mass of silver, Ag, is $107.9 g / mol$. How many grams of silver are in 1.13 moles of Ag?
Answer (2)
Multiply the number of moles of Ag by its molar mass.
Calculate the mass: ma ss = 1.13 m o l es × 107.9 m o l g .
The result of the calculation is 121.927 g .
Therefore, the mass of silver in 1.13 moles of Ag is 121.927 .
Explanation
Problem Analysis We are given that the molar mass of silver (Ag) is 107.9 m o l g , and we have 1.13 moles of Ag. We want to find the mass of silver in grams.
Formula To find the mass of silver, we can use the formula: ma ss = n u mb er o f m o l es × m o l a r ma ss
Calculation Plugging in the given values, we have: ma ss = 1.13 m o l es × 107.9 m o l g ma ss = 121.927 g
Final Answer Therefore, there are approximately 121.927 grams of silver in 1.13 moles of Ag.
Examples
Imagine you're a jeweler crafting a silver necklace. You need to know how much silver to order from your supplier. This problem helps you calculate the exact amount of silver needed based on the number of moles required for your design. Knowing how to convert moles to grams is crucial for accurate measurements and cost estimation in jewelry making, ensuring you have enough material without overspending. This principle extends to various fields, such as chemistry, where precise measurements are essential for experiments and reactions.
To calculate the mass of silver in grams from moles, use the formula: mass = number of moles × molar mass. For 1.13 moles of silver, the calculation results in approximately 121.927 grams. Therefore, the mass of silver in 1.13 moles of Ag is about 121.927 grams.
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