The calculated distance (air line) between Al Mawşil al Jadīdah and Soran is approximately 83 miles respectively 133 kilometers.
By car or train, the actual journey to Soran is certainly longer, as only the direct route (as the crow flies) between Al Mawşil al Jadīdah and Soran has been calculated here.
Air line (approximately)
133 kilometers
72 nautical miles