Most of cosmic baryons predicted by the big-bang nucleosynthesis has evaded the direct detection. Recent numerical simulations indicate that approximately 30 to 50 percent of the total baryons in the present universe is supposed to take a form of warm/hot intergalactic medium (WHIM) whose X-ray continuum emission is very weak. To identify those missing baryons, we consider in detail the detectability of WHIM directly through emission lines of OVII (561, 568, 574, 665eV) and OVIII (653eV). For this purpose, we create mock spectra of the emission lines of WHIM using a light-cone output of the cosmological hydrodynamic simulations. Since the predicted fluxes are generally below the current detection limit, the unambiguous detection requires a dedicated X-ray satellite mission that we also discuss in detail. We find that our proposed mission is sensitive to the WHIM with gas temperature $T=10^{6-7}$K and overdensity $delta=10-100$ up to a redshift of 0.3 without being significantly contaminated by the cosmic X-ray background and the Galactic emissions. Thus such a mission provides a unique and important tool to identify a large fraction of otherwise elusive baryons in the universe.
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