Answer:
To determine the density of the mixture, we need to first find the total volume of the mixture, which can be calculated by adding the volumes of metal A and metal B.
The volume of metal A can be calculated using the formula:
Volume = Mass / Density
So, the volume of metal A is:
Volume of A = 3.3g / 2.7g/cm³ = 1.2222... cm³ (rounded to four decimal places)
Similarly, the volume of metal B is:
Volume of B = 2.4g / 4.8g/cm³ = 0.5 cm³
The total volume of the mixture is therefore:
Total Volume = Volume of A + Volume of B
= 1.2222... cm³ + 0.5 cm³
= 1.7222... cm³ (rounded to four decimal places)
To find the density of the mixture, we can use the formula:
Density = Mass / Volume
The total mass of the mixture is:
Total Mass = Mass of A + Mass of B
= 3.3g + 2.4g
= 5.7g
So, the density of the mixture is:
Density = Total Mass / Total Volume
= 5.7g / 1.7222... cm³
= 3.3103... g/cm³ (rounded to four decimal places)
Therefore, the density of the mixture is approximately 3.3103 g/cm³
Explanation: