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The results of the experiment searching for 2K-capture with largelow-background proportional counter are presented. The comparison of spectra ofthe background of the proportional counter filled with Kr enriched in $^{78}$Kr(8400 hr) and with natural Kr (3039 hr) is given. A new limit on the half-lifeof $^{78}$Kr with regard to 2K-capture, T$_{1/2}\geq2.0\cdot10^{21}$ yrs (95%C.L.) has been obtained.

Comparative analysis of spectra of the background of the proportional counter filled with Kr, enriched in Kr-78, and with Kr of natural content