Question

Using a specific method, your calculated density of aluminum is d1 = 2.64 g/cm^3. Using a different method, your calculated density d2 = 2.75 g/cm^3. Calculate the percentage difference between the two methods (consider the significant method rules)

Answer 1

To calculate the percentage difference between the two density values, use the formula: (|d1 - d2| / ((d1 + d2) / 2)) * 100%. For this case, d1 = 2.64 g/cm^3 and d2 = 2.75 g/cm^3. The percentage difference is approximately 4.08%.

Step-by-step explanation:

To calculate the percentage difference between the two density values, use the formula:

Percentage Difference = (|d1 - d2| / ((d1 + d2) / 2)) * 100%

For this case, d1 = 2.64 g/cm3 and d2 = 2.75 g/cm3. Plugging in these values, we get:

|2.64 - 2.75| / ((2.64 + 2.75) / 2)) * 100% = 0.11 / 2.695 * 100% = 4.08%

Therefore, the percentage difference between the two methods is approximately 4.08%.

Answer 2

4.167%

Step-by-step explanation:

Data provided in the question:

Calculated density of aluminum is d₁ = 2.64 g/cm³

calculated density d₂ = 2.75 g/cm³

Now,

The difference in Calculated densities = 2.75 g/cm³ - 2.64 g/cm³

or

The difference in Calculated densities = 0.11 g/cm³

Therefore,

Percentage change in densities =
`\frac{\textup{Difference in densities}}{\textup{d_1}}*100`

or

Percentage change in densities =
`\frac{0.11}{\textup{2.64}}*100`

or

Percentage change in densities = 4.167%