🤓 Based on our data, we think this question is relevant for Professor Myers' class at NAU.

We’re being asked to **determine the density of osmium (Os)** given that an osmium sphere containing **1.2989 × 10 ^{27} atoms** has a

Recall that ** density** is the ratio of the mass and volume of an object:

$\overline{){\mathbf{density}}{\mathbf{=}}\frac{\mathbf{mass}}{\mathbf{volume}}}$

Also, the ** volume of a sphere** is given by:

$\overline{){\mathbf{V}}{\mathbf{=}}\frac{\mathbf{4}}{\mathbf{3}}{{\mathbf{\pi r}}}^{{\mathbf{3}}}}$

where **r** = radius.

An osmium sphere contains 1.289 x 10 ^{23} osmium atoms and has a radius 0.755 cm. The molar mass of osmium is 190.23 g•mol^{-1}. What is the density of osmium? Recall that the volume of a sphere is given by the formula: 4/3 π r ^{3}

a. 22.6 g/cm ^{3}

b. 6.24 g/cm ^{3}

c. 1.80 g/cm ^{3}

d. 0.822 g/cm ^{3}

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