Question #26507

when 97.5g of zine was heated in oxygen?121.5g of zinc oxide was formed. calculate the empirical formula of oxide?

Expert's answer

When 97.5 g of zinc was heated in oxygen? 121.5 g of zinc oxide was formed.

Calculate the empirical formula of oxide?

**Solution:**

We will designate a formula that is necessary to be found: Znₓ Oᵧ

Knowing the mass of zinc oxide and zinc, which can react to find the mass of oxygen in the oxide:


m(O)=m(ZnxOy)m(Zn)m(O) = m(Zn_xO_y) - m(Zn)m(O)=121,597,5=24gm(O) = 121,5 - 97,5 = 24\,g


Find a relationship between the number of atoms of the elements in zinc oxide, determine the indices X and Y. To do this, divide the mass of each element to its relative atomic mass:


n(Zn):n(O)=m(Zn)Ar(Zn)m(O)Ar(O)n(Zn): n(O) = \frac{m(Zn)}{A_r(Zn)} \cdot \frac{m(O)}{A_r(O)}n(Zn):n(O)=97,565,42416=1,5:1,5=1:1n(Zn): n(O) = \frac{97,5}{65,4} \cdot \frac{24}{16} = 1,5 : 1,5 = 1 : 1


So the empirical formula of zinc oxide – ZnO.

**Answer:** The empirical formula of zinc oxide – ZnO.

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