We know that volume (V ) occupied by a substance scales as `x^(3)` , where x is the average distance between its molecules. Assume that water vapour at `100^(@)C` and atmospheric pressure has average intermolecular separation equal to `x_(v)` and for liquid water at `100^(@)C` the intermolecular separation is `x_(w)`. Find the ratio `(X_(v))/(x_(w))` considering density of water at `100^(@)C` to be `1.0 x× 103 kg//m^(3)` and taking water vapour as an ideal gas. Atmospheric pressure `P_(0) = 1.0 x× 10^(5) N//m^(2)` , Gas constant `R = 8.3 "J mol"^(–1) K^(–1)`.

We know that volume (V ) occupied by a substance scales as `x^(3)` , w

1.	We know that volume (V ) occupied by a substance scales as `x^(3)` , where x is the average distance between its molecules. Assume that water vapour at `100^(@)C` and atmospheric pressure has average intermolecular separation equal to `x_(v)` and for liquid water at `100^(@)C` the intermolecular separation is `x_(w)`. Find the ratio `(X_(v))/(x_(w))` considering density of water at `100^(@)C` to be `1.0 x× 103 kg//m^(3)` and taking water vapour as an ideal gas. Atmospheric pressure `P_(0) = 1.0 x× 10^(5) N//m^(2)` , Gas constant `R = 8.3 "J mol"^(–1) K^(–1)`.
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