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We analyzed the luminosity-temperature-mass of gas (L_{X} - T - M_{g})relation for sample of galaxy clusters that have been observed by the Chandrasatellite. We used 21 high-redshift clusters (0.4 < z < 1.4).  We assumed a power-law relation between the X-ray luminosity of galaxyclusters and its temperature and redshift L_{X} ~(1+z)^{A_{L_{X}T}}T^{beta_{L_{X}T}}. We obtained that for an Omega_{m} = 0.27and Lambda = 0.73 universe, A_{L_{X}T} = 1.50 +/- 0.23, beta_{L_{X}T} = 2.55+/- 0.07 (for 68% confidence level).  Then, we found the evolution of M_{g} - T relation is small. We assumed apower-law relation in the form M_{g} ~ (1+z)^{A_{M_{g}T}}T^{beta_{M_{g}T}}also, and we obtained A_{M_{g}T} = -0.58 +/- 0.13 and beta_{M_{g}T} = 1.77 +/-0.16. We also obtained the evolution in M_{g} - L_{X} relation, we can concludethat such relation has strong evolution for our cosmological parameters. Weused M_{g} ~ (1+z)^{A_{M_{g}L_{X}}}L^{beta_{M_{g}L_{X}}} equation for assumingthis relation and we found A_{M_{g}L_{X}} ~ -1.86 +/- 0.34 andbeta_{M_{g}L_{X}} = 0.73 +/- 0.15 for Omega_{m} = 0.27 and Lambda = 0.73universe.  In overal, the clusters on big redshifts have much stronger evolution betweencorrelations of luminosity, temperature and mass, then such correlations forclusters at small redshifts. We can conclude that such strong evolution inL_{X} - T - M_{g} correlations indicate that in the past the clusters havebigger temperature and higher luminosity.

The evolution of the luminosity-temperature-mass relations of hot gas in Chandra clusters at 0.4 < z < 1.4