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Type Ia supernovae originate from the explosion of carbon-oxygen white dwarfsin binary systems, but the exact nature of their progenitors remains elusive.The bulk properties of Type Ia supernova remnants, such as the radius and thecentroid energy of the Fe K$\alpha$ blend in the X-ray spectrum, are determinedby the properties of the supernova ejecta and the ambient medium. We model theinteraction between Chandrasekhar and sub-Chandrasekhar models for Type Iasupernova ejecta and a range of uniform ambient medium densities in onedimension up to an age of 5000 years. We generate synthetic X-ray spectra fromthese supernova remnant models and compare their bulk properties at differentexpansion ages with X-ray observations from \textit{Chandra} and\textit{Suzaku}. We find that our models can successfully reproduce the bulkproperties of most observed remnants, suggesting that Type Ia SN progenitors donot modify their surroundings significantly on scales of a few pc. Ambientmedium density and expansion age are the main contributors to the diversity ofthe bulk properties in our models. Chandrasekhar and sub-Chandrasekharprogenitors make similar predictions for the bulk remnant properties, butdetailed fits to X-ray spectra have the power to discriminate explosionenergetics and progenitor scenarios.

Chandrasekhar and sub-Chandrasekhar models for the X-ray emission of Type Ia supernova remnants (I): Bulk properties