A new penny has a mass of 2.54 g and a volume of 0.354 cm3. Is the penny made of pure copper? what is its density?
thanks:) Density is mass/volume but I don't know how to find it with g and cm3
Well, mass is in g and volume is in cc (stands for cubic centimeter) so
density = mass/volume = 2.54g/0.354 cc = ?? g/cc.
Then compare with the density of pure copper.
so how would I make it ___(g)/ 1 cc?
divide 2.54 by .354
oh yah. Thanks I got it:)
To determine if the penny is made of pure copper and calculate its density, you need to consider the density of copper.
Firstly, check the density of pure copper. The density of copper is approximately 8.96 g/cm3.
Now, let's proceed with the calculations to find the density of the penny. As you mentioned, density is equal to mass divided by volume. Given that the mass of the penny is 2.54 g and the volume is 0.354 cm3, you can use these values to calculate the density:
Density = mass/volume
Density = 2.54 g / 0.354 cm3
To make the units consistent, it is necessary to convert cm3 to mL (milliliters) because they have the same volume measurements. Since 1 cm3 is equivalent to 1 mL, you can directly replace cm3 with mL:
Density = 2.54 g / 0.354 mL
Finally, you can calculate the density of the penny by dividing the mass (in grams) by the volume (in milliliters):
Density = 7.18 g/mL
Now, compare the calculated density of the penny (7.18 g/mL) with the known density of copper (8.96 g/cm3). If the density of the penny is close to the density of copper, then it is likely made of pure copper.