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For international trade, a silver bar must meet exacting standards for size, purity, and mass set forth by “The Good Delivery Rules for Gold and Silver Bars". A certain Good Silver Delivery Bar which meets these standards might be 255.0 mm long, 146.0 mm wide, and 62.0 mm tall and that silver has a density of 10.5 g/cm. If the price of silver as of 6/17/2020 is $17.47 per troy-ounce, how much would this Good Silver Delivery Bar be worth?

For international trade, a silver bar must meet exacting standards for size, purity, and mass set forth by “The Good Delivery Rules for Gold and Silver Bars". A certain Good Silver Delivery Bar which meets these standards might be 255.0 mm long, 146.0 mm wide, and 62.0 mm tall and that silver has a density of 10.5 g/cm. If the price of silver as of 6/17/2020 is $17.47 per troy-ounce, how much would this Good Silver Delivery Bar be worth?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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## Conversion Table for Common Measurements ### Lengths - **1 meter** = 3.281 feet - **1 centimeter** = 0.3937 inch - **1 inch** = 2.54 centimeters - **1 mile** = 5280 feet - **1 angstrom (Å)** = 28.3 gram - **1 light-year** = 5.878x10<sup>12</sup> mile - **1 foot** = 12 inches ### Volumes - **1 liter** = 1x10<sup>-3</sup> m³ - **1 quart** = 1.0567 liters - **1 milliliter** = 1 cm³ - **1 gallon** = 4 quarts - **1 pint** = 8 pints - **1 gallon** = 3.785 liters - **1 quart** = 32 fluid ounces - **1 fluid ounce** = 29.57 milliliters ### Masses - **1 kilogram** = 2.205 pounds - **1 pound** = 0.453592 kilograms - **1 kilogram** = 16 oz - **1 ton** = 2000 pounds - **1 ton** = 907.185 kilograms - **1 ounce** = 28.3 grams - **1 troy ounce** = 31.10347 grams - **1 amu** = 1.6606x10<sup>-24</sup> grams ### Temperature - **K** = °C + 273.15 ### Pressure - **1 atmosphere** = 760 mmHg - **1 atmosphere** = 101.325 kPa - **1 atmosphere** = 14.7 psi - **1 torr** = 1 mmHg ### Miscellaneous - **1 Hz** = 1s<sup>-1</sup> - **pH** = -log[H<sup>+</sup>] - **[H<sup>+</sup>]** = 10<sup>-pH</sup> - **pH + pOH** = 14 ### Energy - **1 calorie** = 4.184 joules - **1 joule** = 1 kg·m²/s² - **1
Transcribed Image Text:## Conversion Table for Common Measurements ### Lengths - **1 meter** = 3.281 feet - **1 centimeter** = 0.3937 inch - **1 inch** = 2.54 centimeters - **1 mile** = 5280 feet - **1 angstrom (Å)** = 28.3 gram - **1 light-year** = 5.878x10<sup>12</sup> mile - **1 foot** = 12 inches ### Volumes - **1 liter** = 1x10<sup>-3</sup> m³ - **1 quart** = 1.0567 liters - **1 milliliter** = 1 cm³ - **1 gallon** = 4 quarts - **1 pint** = 8 pints - **1 gallon** = 3.785 liters - **1 quart** = 32 fluid ounces - **1 fluid ounce** = 29.57 milliliters ### Masses - **1 kilogram** = 2.205 pounds - **1 pound** = 0.453592 kilograms - **1 kilogram** = 16 oz - **1 ton** = 2000 pounds - **1 ton** = 907.185 kilograms - **1 ounce** = 28.3 grams - **1 troy ounce** = 31.10347 grams - **1 amu** = 1.6606x10<sup>-24</sup> grams ### Temperature - **K** = °C + 273.15 ### Pressure - **1 atmosphere** = 760 mmHg - **1 atmosphere** = 101.325 kPa - **1 atmosphere** = 14.7 psi - **1 torr** = 1 mmHg ### Miscellaneous - **1 Hz** = 1s<sup>-1</sup> - **pH** = -log[H<sup>+</sup>] - **[H<sup>+</sup>]** = 10<sup>-pH</sup> - **pH + pOH** = 14 ### Energy - **1 calorie** = 4.184 joules - **1 joule** = 1 kg·m²/s² - **1
**Calculating the Value of a Good Silver Delivery Bar** In international trade, a silver bar's standards for size, purity, and mass are governed by "The Good Delivery Rules for Gold and Silver Bars." Let’s explore the value determination of a Good Silver Delivery Bar adhering to these standards: **Specifications:** - Length: 255.0 mm - Width: 146.0 mm - Height: 62.0 mm - Density: 10.5 g/cm³ - Price of Silver (as of 6/17/2020): $17.47 per troy ounce **Steps to Calculate the Value:** 1. **Convert dimensions to centimeters:** - Length: 25.5 cm - Width: 14.6 cm - Height: 6.2 cm 2. **Calculate the volume:** - Volume = Length × Width × Height - Volume = 25.5 cm × 14.6 cm × 6.2 cm - Volume ≈ 2,308.62 cm³ 3. **Calculate the mass:** - Mass = Volume × Density - Mass = 2,308.62 cm³ × 10.5 g/cm³ - Mass ≈ 24,240.51 grams 4. **Convert grams to troy ounces:** - 1 troy ounce = 31.1035 grams - Mass in troy ounces = 24,240.51 grams ÷ 31.1035 g/troy ounce - Mass ≈ 779.53 troy ounces 5. **Calculate the value:** - Value = Mass in troy ounces × Price per troy ounce - Value = 779.53 troy ounces × $17.47/troy ounce - Value ≈ $13,628.08 Therefore, the Good Silver Delivery Bar would be worth approximately **$13,628.08** given the specified conditions.
Transcribed Image Text:**Calculating the Value of a Good Silver Delivery Bar** In international trade, a silver bar's standards for size, purity, and mass are governed by "The Good Delivery Rules for Gold and Silver Bars." Let’s explore the value determination of a Good Silver Delivery Bar adhering to these standards: **Specifications:** - Length: 255.0 mm - Width: 146.0 mm - Height: 62.0 mm - Density: 10.5 g/cm³ - Price of Silver (as of 6/17/2020): $17.47 per troy ounce **Steps to Calculate the Value:** 1. **Convert dimensions to centimeters:** - Length: 25.5 cm - Width: 14.6 cm - Height: 6.2 cm 2. **Calculate the volume:** - Volume = Length × Width × Height - Volume = 25.5 cm × 14.6 cm × 6.2 cm - Volume ≈ 2,308.62 cm³ 3. **Calculate the mass:** - Mass = Volume × Density - Mass = 2,308.62 cm³ × 10.5 g/cm³ - Mass ≈ 24,240.51 grams 4. **Convert grams to troy ounces:** - 1 troy ounce = 31.1035 grams - Mass in troy ounces = 24,240.51 grams ÷ 31.1035 g/troy ounce - Mass ≈ 779.53 troy ounces 5. **Calculate the value:** - Value = Mass in troy ounces × Price per troy ounce - Value = 779.53 troy ounces × $17.47/troy ounce - Value ≈ $13,628.08 Therefore, the Good Silver Delivery Bar would be worth approximately **$13,628.08** given the specified conditions.
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