- #1

Hamiltonian

- 267

- 179

- Homework Statement:
- An inorganic salt gave the following %composition: Na = 29.11% S = 40.51% and O = 30.38%. Calculate the empirical formula of the salt.

- Relevant Equations:
- N/A

Let the empirical formula be ##Na_x S_y O_z##

then we can concude

$$\frac {29.11}{100} = \frac{xM_{Na}}{xM_{Na} + yM_S + z M_O}$$

$$\frac {40.51}{100} = \frac{yM_S}{xM_{Na} + yM_S + z M_O}$$

$$\frac {30.38}{100} = \frac{zM_O}{xM_{Na} + yM_S + z M_O}$$

where ##M_{Na} = 23, M_S = 32,M_O = 16##

solving these equations for ##x,y## and ##z## is awfully hard can someone suggest a better way to solve this problem?

the answer is supposed to be: ##Na_2S_2O_3##

then we can concude

$$\frac {29.11}{100} = \frac{xM_{Na}}{xM_{Na} + yM_S + z M_O}$$

$$\frac {40.51}{100} = \frac{yM_S}{xM_{Na} + yM_S + z M_O}$$

$$\frac {30.38}{100} = \frac{zM_O}{xM_{Na} + yM_S + z M_O}$$

where ##M_{Na} = 23, M_S = 32,M_O = 16##

solving these equations for ##x,y## and ##z## is awfully hard can someone suggest a better way to solve this problem?

the answer is supposed to be: ##Na_2S_2O_3##