Input interpretation
manganese dioxide | relative molecular mass
Result
Find the relative molecular mass, M_r, for manganese dioxide: 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: MnO_2 Use the chemical formula, MnO_2, to count the number of atoms, N_i, for each element: | N_i Mn (manganese) | 1 O (oxygen) | 2 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 Mn (manganese) | 1 | 54.938044 O (oxygen) | 2 | 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 Mn (manganese) | 1 | 54.938044 | 1 × 54.938044 = 54.938044 O (oxygen) | 2 | 15.999 | 2 × 15.999 = 31.998 M_r = 54.938044 + 31.998 = 86.936
Comparisons
≈ ( 0.12 ≈ 1/8 ) × relative molecular mass of fullerene ( ≈ 721 )
≈ 0.45 × relative molecular mass of caffeine ( ≈ 194 )
≈ 1.5 × relative molecular mass of sodium chloride ( ≈ 58 )
Corresponding quantities
Molar mass M from M = M_uM_r: | 87 g/mol (grams per mole)
Molecular mass m from m = M_rM_u/N_A: | 1.4×10^-22 grams | 1.4×10^-25 kg (kilograms)