Input interpretation
cesium perchlorate | relative molecular mass
Result
Find the relative molecular mass, M_r, for cesium perchlorate: M_r = sum _iN_im_i/m_u Plan: • Write the chemical formula and gather atomic masses from the periodic table. • Determine values for N_i and m_i using these items. • Finally, compute the mass. Write the chemical formula: CsClO_4 Use the chemical formula, CsClO_4, to count the number of atoms, N_i, for each element: | N_i Cl (chlorine) | 1 Cs (cesium) | 1 O (oxygen) | 4 Look up the atomic mass, m_i, in unified atomic mass units, u, for each element in the periodic table. Since m_i is divided by the atomic mass constant, m_u, the result is a unitless relative atomic mass: | N_i | m_i/m_u Cl (chlorine) | 1 | 35.45 Cs (cesium) | 1 | 132.90545196 O (oxygen) | 4 | 15.999 Multiply N_i by m_i/m_u to compute the relative mass for each element. Then sum those values to compute the relative molecular mass, M_r: Answer: | | | N_i | m_i/m_u | relative mass Cl (chlorine) | 1 | 35.45 | 1 × 35.45 = 35.45 Cs (cesium) | 1 | 132.90545196 | 1 × 132.90545196 = 132.90545196 O (oxygen) | 4 | 15.999 | 4 × 15.999 = 63.996 M_r = 35.45 + 132.90545196 + 63.996 = 232.35
Comparisons
≈ 0.32 × relative molecular mass of fullerene ( ≈ 721 )
≈ 1.2 × relative molecular mass of caffeine ( ≈ 194 )
≈ 4 × relative molecular mass of sodium chloride ( ≈ 58 )
Corresponding quantities
Molar mass M from M = M_uM_r: | 232 g/mol (grams per mole)
Molecular mass m from m = M_rM_u/N_A: | 3.9×10^-22 grams | 3.9×10^-25 kg (kilograms)