The density of a substance Ais given as 13.6g/cm cubed and that of substance B as 11.3g/cm cubed.Determine correct to 1dp the volume of B that would have the same mass as 50cm cubed of A.
mass of 50 cm^3 of A = 50 cm^3 * (13.6 g/1cm^3) = 680 g
so
680 g = 11.3 g/cm^3 * VB
VB = (680/11.3 ) cm^3
To determine the volume of substance B that would have the same mass as 50 cm^3 of substance A, we can use the formula:
Mass = Density × Volume
First, let's find the mass of 50 cm^3 of substance A:
Mass_A = Density_A × Volume_A
Mass_A = 13.6 g/cm^3 × 50 cm^3
Next, we need to find the volume of substance B:
Volume_B = Mass_B / Density_B
Since we want to find the volume of B with the same mass as 50 cm^3 of A, we set the masses equal to each other:
Mass_A = Mass_B
Substituting the values we know:
13.6 g/cm^3 × 50 cm^3 = Mass_B × 11.3 g/cm^3
Simplifying the equation:
13.6 × 50 = Mass_B × 11.3
Now, solve for Mass_B:
Mass_B = (13.6 × 50) / 11.3
Mass_B ≈ 60.18 g
Finally, substitute the value of Mass_B into the formula for volume:
Volume_B = Mass_B / Density_B
Volume_B = 60.18 g / 11.3 g/cm^3
Volume_B ≈ 5.33 cm^3
Therefore, the volume of substance B that would have the same mass as 50 cm^3 of substance A is approximately 5.33 cm^3.