The calculated distance (air line) between Düsseldorf-Pempelfort and Karlsruhe is approximately 170 miles respectively 273 kilometers.
By car or train, the actual journey to Karlsruhe is certainly longer, as only the direct route (as the crow flies) between Düsseldorf-Pempelfort and Karlsruhe has been calculated here.
Air line (approximately)
273 kilometers
147 nautical miles