A hot dog bun (volume 240cm3) with a density of 0.15g/cm3 is crushed in a picnic cooler into a volume of 195cm3. What is the new density of the bun?
To find the new density of the crushed hot dog bun, we need to divide the mass of the crushed bun by its new volume.
First, we need to find the mass of the crushed bun in grams. We can use the formula:
Mass = Density × Volume
Given:
Density of the bun = 0.15 g/cm3
Volume of the bun = 195 cm3
Mass = 0.15 g/cm3 × 195 cm3
Mass = 29.25 g
Now that we have the mass of the crushed bun, we can calculate the new density by dividing the mass by the new volume.
New Density = Mass / Volume
Given:
Mass = 29.25 g
Volume = 195 cm3
New Density = 29.25 g / 195 cm3
New Density ≈ 0.15 g/cm3
Therefore, the new density of the crushed hot dog bun is approximately 0.15 g/cm3.
To find the new density of the bun, we can use the formula:
Density = Mass / Volume
Since the density and the volume of the bun have changed, we need to find the new mass of the bun.
Step 1: Find the initial mass of the hot dog bun.
Given:
Initial volume = 240 cm^3
Density = 0.15 g/cm^3
Mass = Density * Volume
Mass = 0.15 g/cm^3 * 240 cm^3
Mass = 36 g
So, the initial mass of the hot dog bun is 36 grams.
Step 2: Find the new mass of the hot dog bun.
Given:
New volume = 195 cm^3
We can use the formula Density = Mass / Volume to find the new mass.
Density = New mass / New volume
Rearranging the formula, we have:
New mass = Density * New volume
Substituting the given values:
New mass = 0.15 g/cm^3 * 195 cm^3
New mass = 29.25 g
So, the new mass of the hot dog bun is 29.25 grams.
Step 3: Calculate the new density of the hot dog bun.
New Density = New mass / New volume
Substituting the calculated values:
New Density = 29.25 g / 195 cm^3
New Density = 0.15 g/cm^3
So, the new density of the hot dog bun is 0.15 g/cm^3.