  Motivated by the recent measurement of the neutron distribution radius of
${}^{208}$Pb from the PREX--2 data, I study the effects of the new G3(M)
parameter set constrained by PREX--2 data on the electron--neutrino scattering
in dense matter using the extended relativistic mean field (E--RMF) model. I
employ the G3(M) parameter set to describe the nuclear matter. The obtained
equation of state for the G3(M) parameter set has an excellent agreement with
experimental data and the chiral effective field theory calculation with
N$^3$LO 3N forces. I analyze both differential cross section of
electron--neutrino and electron--neutrino mean free path to observe their
sensitivity to the G3(M) parameter set. One finds that the differential cross
sections of electron--neutrino for different baryon densities have higher
values compared with that obtained for the TM1e and FSU Garnet parameter sets.
The higher cross section decreases the electron--neutrino mean free path.
