The spacing between the plates is 
Explanation:
The electric field in the spacing between the plates of a parallel-plate capacitor is uniform and it is given by

where
is the surface charge density
is the vacuum permittivity
We also know that the relationship between electric field and potential difference across a parallel-plate capacitor is

where
V is the potential difference
d is the spacing between the plates
Combining the two equations we get

And given that here we have:
V = 160 V

We can solve the equation for d, the spacing between the plates:

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