calculate the density of an aluminum pipe if the mass of the aluminum is 37g and the level of the water ina graduated cylinder increased by 11.0 mL when the pipe is submerged in the graduated cylinder. then calculate the percent error of the experimental value if the reference value is 2.70 g/cm^3
d = m/v = 37g/11 mL = about 3.36 g/mL.
% error = [(3.36-2.70)/2.70]*100 = ?
2.44
To calculate the density of the aluminum pipe, use the formula:
Density = Mass / Volume
1. Mass given: Mass of aluminum = 37 g
2. Volume can be calculated using the change in water level. Given: Change in water level = 11.0 mL
Considering the principle of water displacement, the change in water level corresponds to the volume of the aluminum pipe.
3. Density = Mass / Volume
Density = 37 g / 11.0 mL
To calculate the percent error, use the following formula:
Percent Error = [(Experimental Value - Reference Value) / Reference Value] * 100
Given: Reference value = 2.70 g/cm^3
1. Convert the volume from mL to cm^3 since the reference value is in cm^3.
11.0 mL = 11.0 cm^3
2. Calculate the density of the aluminum pipe in g/cm^3:
Density = 37 g / 11.0 cm^3
3. Calculate the percent error using the experimental value and reference value:
Percent Error = [(Calculated Density - Reference Value) / Reference Value] * 100
To calculate the density of the aluminum pipe, you need to divide the mass of the aluminum by its volume. Here's how you can do it step-by-step:
1. Find the volume of the aluminum pipe:
- Measure the change in water level in the graduated cylinder when the pipe is submerged. In this case, it increased by 11.0 mL.
- This change in water level represents the volume of the aluminum pipe.
- Therefore, the volume of the aluminum pipe is 11.0 mL.
2. Convert the volume to the appropriate unit:
- 1 mL is equal to 1 cm³. Since density is typically given in g/cm³, there's no need to convert the volume in this case.
- So, the volume of the aluminum pipe is 11.0 cm³.
3. Calculate the density:
- Divide the mass of the aluminum (37g) by its volume (11.0 cm³):
Density = Mass / Volume
= 37g / 11.0 cm³
≈ 3.36 g/cm³
The density of the aluminum pipe is approximately 3.36 g/cm³.
Now, let's calculate the percent error using the given reference value of 2.70 g/cm³:
1. Calculate the absolute difference between the experimental and reference values:
- Absolute Difference = | Experimental Value - Reference Value |
= | 3.36 g/cm³ - 2.70 g/cm³ |
= 0.66 g/cm³
2. Calculate the percent error:
- Percent Error = (Absolute Difference / Reference Value) * 100
= (0.66 g/cm³ / 2.70 g/cm³) * 100
≈ 24.4%
Therefore, the percent error of the experimental value compared to the reference value is approximately 24.4%.