Input interpretation
new methylene blue | molar mass
Result
Find the molar mass, M, for new methylene blue: M = sum _iN_im_i 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: C_18H_22ClN_3S Use the chemical formula, C_18H_22ClN_3S, to count the number of atoms, N_i, for each element: | N_i C (carbon) | 18 Cl (chlorine) | 1 H (hydrogen) | 22 N (nitrogen) | 3 S (sulfur) | 1 Look up the atomic mass, m_i, in g·mol^(-1) for each element in the periodic table: | N_i | m_i/g·mol^(-1) C (carbon) | 18 | 12.011 Cl (chlorine) | 1 | 35.45 H (hydrogen) | 22 | 1.008 N (nitrogen) | 3 | 14.007 S (sulfur) | 1 | 32.06 Multiply N_i by m_i to compute the mass for each element. Then sum those values to compute the molar mass, M: Answer: | | | N_i | m_i/g·mol^(-1) | mass/g·mol^(-1) C (carbon) | 18 | 12.011 | 18 × 12.011 = 216.198 Cl (chlorine) | 1 | 35.45 | 1 × 35.45 = 35.45 H (hydrogen) | 22 | 1.008 | 22 × 1.008 = 22.176 N (nitrogen) | 3 | 14.007 | 3 × 14.007 = 42.021 S (sulfur) | 1 | 32.06 | 1 × 32.06 = 32.06 M = 216.198 g/mol + 35.45 g/mol + 22.176 g/mol + 42.021 g/mol + 32.06 g/mol = 347.91 g/mol
Unit conversion
0.3479 kg/mol (kilograms per mole)
Comparisons
≈ 0.48 × molar mass of fullerene ( ≈ 721 g/mol )
≈ 1.8 × molar mass of caffeine ( ≈ 194 g/mol )
≈ 6 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
Mass of a molecule m from m = M/N_A: | 5.8×10^-22 grams | 5.8×10^-25 kg (kilograms) | 348 u (unified atomic mass units) | 348 Da (daltons)
Relative molecular mass M_r from M_r = M_u/M: | 348