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We provide a strange star model under the framework of general relativity byusing a general linear equation of state (EOS). The solution set thus obtainedis employed on altogether 20 compact star candidates to constraint values ofMIT bag model. No specific value of the bag constant ($B$) a-priori is assumedrather possible range of values for bag constant is determined fromobservational data of the said set of compact stars. To do so theTolman-Oppenheimer-Volkoff (TOV) equation is solved by homotopy perturbationmethod (HPM) and hence we get a mass function for the stellar system. Thesolution to the Einstein field equations represents a non-singular, causal andstable stellar structure which can be related to strange stars. Eventually weget an interesting result on the range of the bag constant as41.58~MeV~fm$^{-3}< B <$319.31~MeV~fm$^{-3}$. We have found the maximum surfaceredshift $Z^{max}_{s}=0.63$ and shown that the central redshift ($Z_c$) can nothave value larger than $2k$, where $k=2.010789 \pm 0.073203$. Also we provide apossible value of bag constant for neutron star (NS) with quark core usinghadronic as well as quark EOS.

Constraining values of bag constant for strange star candidates