Excess entropy and energy feedback from within cluster cores up to
  r$_{200}$
  We estimate the "non-gravitational" entropy-injection profiles, $\Delta K$,
and the resultant energy feedback profiles, $\Delta E$, of the intracluster
medium for 17 clusters using their Planck SZ and ROSAT X-Ray observations,
spanning a large radial range from $0.2r_{500}$ up to $r_{200}$. The feedback
profiles are estimated by comparing the observed entropy, at fixed gas mass
shells, with theoretical entropy profiles predicted from non-radiative
hydrodynamic simulations. We include non-thermal pressure and gas clumping in
our analysis. The inclusion of non-thermal pressure and clumping results in
changing the estimates for $r_{500}$ and $r_{200}$ by 10\%-20\%. When
clumpiness is not considered it leads to an under-estimation of $\Delta
K\approx300$ keV cm$^2$ at $r_{500}$ and $\Delta K\approx1100$ keV cm$^2$ at
$r_{200}$. On the other hand, neglecting non-thermal pressure results in an
over-estimation of $\Delta K\approx 100$ keV cm$^2$ at $r_{500}$ and
under-estimation of $\Delta K\approx450$ keV cm$^2$ at $r_{200}$. For the
estimated feedback energy, we find that ignoring clumping leads to an
under-estimation of energy per particle $\Delta E\approx1$ keV at $r_{500}$ and
$\Delta E\approx1.5$ keV at $r_{200}$. Similarly, neglect of the non-thermal
pressure results in an over-estimation of $\Delta E\approx0.5$ keV at $r_{500}$
and under-estimation of $\Delta E\approx0.25$ keV at $r_{200}$. We find entropy
floor of $\Delta K\approx300$ keV cm$^2$ is ruled out at $\approx3\sigma$
throughout the entire radial range and $\Delta E\approx1$ keV at more than
3$\sigma$ beyond $r_{500}$, strongly constraining ICM pre-heating scenarios. We
also demonstrate robustness of results w.r.t sample selection, X-Ray analysis
procedures, entropy modeling etc.
