Calculate the stoichiometric elemental balance of the system

Consider the formation of a product (CH1.5O0.3N0.27) and biomass (CH1.8O0.5N0.2) from glucose (C6H12O6). The stoichiometric equation is presented below:

C6H12O6 + a O2 + b NH3 → c CH1.8O0.5N0.2 + d CO2 + e H2O + f CH1.5O0.3N0.27
Where a, b, c, d, e and f are stoichiometric coefficient. In a test culture, for every g of glucose consumed, 0,40 g of cells were produced. Furthermore, its respiratory quotient (RQ) was 1,10 mol/mol. Determine the stoichiometric coefficients.

**Hints:** Remember to import all the packages. You will need from sympy the "sympy.solvers" and "Symbol".

**Solution** (appox.) a: 1.728, b: 0.901, c: 2.930, d: 1.901, e: 3.838, f: 1.169