8. use your density skills to find the identity of the following mystery objects:\ntable of densities\nsolid…
8. use your density skills to find the identity of the following mystery objects:\ntable of densities\nsolid density g/cm³ solid density g/cm³\nmarble 2.58 copper 8.92\nquartz 2.64 gold 19.32\ndiamond 3.52 platinum 21.4\nwhile digging in the backyard you find an old coin. its mass is 26.76 g and its volume is 3 cm³.\nwhat is the coin made of?\nyou think you have found a diamond. its mass is 5.28 g and its volume is 2 cm³.\nwhat did you find?\nyou find a ring with a mass of 107 g. you fill a graduated cylinder up with 10 ml of water and put the ring into the cylinder. the water rises up to the 15 ml mark.\nwhat is the ring made of?\nthere is a block on your desk that acts as a paperweight. its measurements are 3 cm by 4 cm by 6 cm. the block has a mass of 184.32 g.\nwhat is the block made of?\nchallenge question
Answer
Explanation:
Step1: Calculate density of coin
$\rho_{coin}=\frac{m_{coin}}{V_{coin}}=\frac{26.76\ g}{3\ cm^{3}} = 8.92\ g/cm^{3}$
Step2: Calculate density of diamond - like object
$\rho_{diamond - like}=\frac{m}{V}=\frac{5.28\ g}{2\ cm^{3}} = 2.64\ g/cm^{3}$
Step3: Calculate density of ring
$V_{ring}=15\ mL - 10\ mL = 5\ mL = 5\ cm^{3}$, $\rho_{ring}=\frac{m_{ring}}{V_{ring}}=\frac{107\ g}{5\ cm^{3}} = 21.4\ g/cm^{3}$
Step4: Calculate density of block
$V_{block}=3\ cm\times4\ cm\times6\ cm = 72\ cm^{3}$, $\rho_{block}=\frac{m_{block}}{V_{block}}=\frac{184.32\ g}{72\ cm^{3}} = 2.56\ g/cm^{3}$
Step5: Identify materials
Match densities with table.
Answer:
Coin: Copper Diamond - like object: Quartz Ring: Platinum Block: Marble