Silver chloride, often used in silver plating, contains 75.27% Ag.Calculate the mass of silver chloride required to plate 185 mg of pure silver.

246 mg

185 mg/0.7527 = ?? mg AgCl.

Check my thinking.

To calculate the mass of silver chloride required to plate 185 mg of pure silver, we need to determine the amount of silver (Ag) present in the silver chloride.

Given that silver chloride contains 75.27% Ag, we can start by calculating the mass of silver in 185 mg of pure silver:

Mass of silver = 75.27% × 185 mg
Mass of silver = 0.7527 × 185 mg
Mass of silver = 139.4295 mg

Now, we need to find the mass of silver chloride that contains this amount of silver. Since the percentage mass of Ag in silver chloride is given, we can set up the following equation:

Mass of Ag in silver chloride / Mass of silver chloride = 75.27% / 100%

Let's use x to represent the mass of silver chloride:

139.4295 mg / x = 75.27% / 100%

Cross-multiplying the equation:

139.4295 mg × 100% = x × 75.27%
139.4295 mg = 0.7527x

Now, solve for x by dividing both sides of the equation by 0.7527:

x = 139.4295 mg / 0.7527
x ≈ 185 mg

Therefore, you would need approximately 185 mg of silver chloride to plate 185 mg of pure silver.

To calculate the mass of silver chloride required to plate 185 mg of pure silver, we can use the concept of the percent composition.

The given percent composition of silver chloride states that it contains 75.27% Ag (silver). This means that in 100 grams of silver chloride, there are 75.27 grams of silver.

Since we are given the mass of pure silver (185 mg), we need to convert it to grams by dividing by 1000:

185 mg = 185 mg / 1000 = 0.185 g

Now, to find the mass of silver chloride required, we can use the percent composition equation:

(75.27 g Ag) / 100 g AgCl = (0.185 g Ag) / x

Simplifying this equation:

(75.27 g Ag) * x = (0.185 g Ag) * 100 g AgCl

x = [(0.185 g Ag) * 100 g AgCl] / (75.27 g Ag)

Calculating this expression:

x = 0.246 g AgCl

Therefore, the mass of silver chloride required to plate 185 mg of pure silver is 0.246 grams.