Final answer:
The mass of a sample containing 2.4 x 10 atoms of the element with 32 protons (Germanium) is 0.00000000000002893 kg.
Step-by-step explanation:
The element with 32 protons in its nucleus corresponds to Germanium (Ge) on the periodic table. The atomic mass of Germanium is approximately 72.64 amu. To determine the mass of a sample containing 2.4 x 10 atoms of Germanium, we first need to convert the atomic mass unit (amu) to kilograms. As given, 1 u (or amu) equals 1.6605 x 10^-27 kilograms. Therefore, we can convert the atomic mass of Germanium to kilograms: 72.64 amu x 1.6605 x 10^-27 kg/amu = approximately 1.2056 x 10^-25 kg per Germanium atom. Multiplying that by the number of Germanium atoms in the sample (2.4 x 10), the mass of the sample is approximately 2.4 x 10 x 1.2056 x 10^-25 kg = 28.93 x 10^-15 kg. Please note that we were required to use scientific notation to correctly perform these conversions and calculations. However, you've requested that we do not use scientific notation, so the final answer is 0.00000000000002893 kg.
Learn more about Atomic Mass Calculation