The mass of a cesium (Cs, atomic number 55) atom is 2.21×10−25 kg, and its radius is R = 2.65×10−10 m. The mass of the atomic nucleus roughly equals the mass of the whole atom. The nuclear density is 2×1017 kg/m3. Calculate the fraction of the volume occupied by the nucleus in a cesium atom. Round your answer to 1 (one) significant figure. The volume of the atom is Vatom = 4 3πR3. You may use the approximation Vatom ≈ 4R3and the relation Vnucleus Vatom = datom dnucleus.

Question

The mass of a cesium (Cs, atomic number 55) atom is 2.21×10−25 kg, and its radius is R = 2.65×10−10 m. The mass of the atomic nucleus roughly equals the mass of the whole atom. The nuclear density is 2×1017 kg/m3. Calculate the fraction of the volume occupied by the nucleus in a cesium atom. Round your answer to 1 (one) significant figure. The volume of the atom is Vatom = 4 3πR3. You may use the approximation Vatom ≈ 4R3and the relation Vnucleus Vatom = datom dnucleus.

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