the measured mass and volume of three metal samples are shown. rank the samples according to their…
the measured mass and volume of three metal samples are shown. rank the samples according to their density.\nsample a: mass 50.0 g, volume 7.9 ml\nsample b: mass 50.0 g, volume 6.6 ml\nsample c: mass 50.0 g, volume 9.2 ml\n1. least dense\n2. sample c\n3. sample a
Answer
Explanation:
Step1: Recall density formula
Density $\rho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.
Step2: Calculate density of Sample A
Given $m = 50.0\ g$ and $V=7.9\ mL$, $\rho_A=\frac{50.0}{7.9}\ g/mL\approx6.33\ g/mL$.
Step3: Calculate density of Sample B
Given $m = 50.0\ g$ and $V = 6.6\ mL$, $\rho_B=\frac{50.0}{6.6}\ g/mL\approx7.58\ g/mL$.
Step4: Calculate density of Sample C
Given $m = 50.0\ g$ and $V=9.2\ mL$, $\rho_C=\frac{50.0}{9.2}\ g/mL\approx5.43\ g/mL$.
Step5: Compare densities
Since $5.43\ g/mL<6.33\ g/mL<7.58\ g/mL$, the order from least - dense to most - dense is Sample C, Sample A, Sample B.
Answer:
Sample C, Sample A, Sample B