Determine the molecular formulas to which the following empirical formulas and molar masses pertain.a. SNH (188.35 g/mol)b. NPCl2 (347.64 g/mol)c. CoC4O4 (341.94 g/mol)d. SN (184.32 g/mol)



Answer :

Answer:

[tex]\begin{gathered} a)S_4N_4H_4 \\ b)N_3P_3Cl_6 \\ c)Co_2C_8O_8 \\ d_{})S_4N_4 \end{gathered}[/tex]

Explanations:

The molecular formula is defined as the formula that gives the total atoms in each molecule of a substance. It is expressed generally as:

[tex]\text{ (empirical formula)}_n=molar\text{ mass}[/tex]

We are to get the molecular formulas to which the following empirical formulas and molar masses pertain.

a) For the empirical formula SNH with the molecular formula (188.35 g/mol)

[tex]\begin{gathered} (SNH)_n=188.35 \\ (32+14+1)_n=188.35 \\ 47n=188.35 \\ n=\frac{188.35}{47} \\ n\approx4.00 \end{gathered}[/tex]

Get the molecular formula for SNH

[tex](SNH)_4=S_4N_4H_4[/tex]

b) For the empirical formula NPCl2 with a molar mass of 347.64g/mol

[tex]\begin{gathered} (NPCl_2)_n=347.64 \\ (14+31+2(35))_n=347.64 \\ 115n=347.64 \\ n=\frac{347.64}{115} \\ n\approx3.00 \end{gathered}[/tex]

Get the molecular formula of NPCl2

[tex](NPCl_2)_3=N_3P_3Cl_6[/tex]

c) For the empirical formula CoC4O4 with a molar mass of 341.94g/mol

[tex]\begin{gathered} (CoC_4O_4)_n=341.94 \\ (60+4(12)+4(16))_n=341.94 \\ (60+48+64)_n=341.94 \\ 172n=341.94 \\ n=\frac{341.94}{172} \\ n\approx2.0 \end{gathered}[/tex]

Get the molecular formula of CoC4O4

[tex](\text{CoC}_4O_4)_2=Co_2C_8O_8[/tex]

d) For the empirical formula SN with a molar mass of 184.32/mol

[tex]\begin{gathered} (SN)_n=184.32 \\ (32+14)_n=184.32 \\ 46n=184.32 \\ n=\frac{184.32}{46} \\ n\approx4.00 \end{gathered}[/tex]

Get the molecular formula of SN

[tex]\begin{gathered} (SN)_4=S_4N_4 \\ \end{gathered}[/tex]