How to Calculate the Mass of Soil Required for Specimen Preparation
What is the process to determine the mass of soil needed for specimen preparation?
Can you find the mass of soil in grams required for specimen preparation based on the given data?
Calculation of the Mass of Soil Required:
In order to calculate the mass of soil required for specimen preparation, we need to follow a series of steps. Let's break down the process:
- Convert the height and diameter of the sampler into a consistent unit, preferably feet.
- Calculate the volume of the sampler using the formula for the volume of a cylinder: Volume = π x (radius)^2 x height.
- Convert the volume from cubic feet to cubic inches.
- Convert the density of the soil from pounds per cubic feet to grams per cubic inch.
- Multiply the volume by the density to determine the mass of soil required.
Using the given values:
- Height of the sampler = 3 inches = 0.25 feet
- Diameter of the sampler = 1.85 inches = 0.1542 feet
- Radius of the sampler = (0.1542 feet) / 2 = 0.0771 feet
- Volume of the sampler = 0.0047 cubic feet
- Density of the soil = 106.25 pounds per cubic feet = 0.0019 grams per cubic inch
By performing the necessary calculations, we arrive at the mass of soil required for specimen preparation as 0.0154 grams.
To determine the mass of soil needed for specimen preparation, it is essential to convert all measurements into the same unit. In this case, we converted the height and diameter of the sampler to feet for consistency. By utilizing the formula for the volume of a cylinder, we calculated the volume of the sampler. This volume was then converted from cubic feet to cubic inches for easier comparison with the density of the soil.
Next, we converted the density of the soil from pounds per cubic feet to grams per cubic inch. This conversion allowed us to multiply the volume of the sampler by the density of the soil to find the mass of soil required for the specimen preparation accurately.
By substituting the given values into the respective formulas and following each step meticulously, we calculated that the mass of soil needed for the specimen preparation is 0.0154 grams. This detailed calculation process ensures precision and accuracy in determining the necessary amount of soil for specimen preparation.