Gdgt reports that RealNetworks has submitted its Rhapsody app for the iPhone and iPod touch to the App Store for approval. The app will provide on-demand streaming music to Rhapsody subscribers and it will offer a limited free trial for non-subscribers to test the service.

The RealNetworks blog describes that the app will be easy and intuitive to use and will include the ability to search the entire Rhapsody library of over 8 million songs. A video demonstrating the app has been posted:

If approved, the app will be free and a compatible Rhapsody subscription will cost $14.99 per month.

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