In this letter, a HTTP-based adaptive rate control streaming (HARCS) scheme that selects the video quality level of each chunk for extending playback time is proposed. For this purpose, the expected energy consumption for downloading remaining chunks to be received is stochastically modeled by considering the time-varying wireless network conditions and video characteristics. Then, based on the derived energy model as well as the mobile device's remaining battery energy, the proposed HARCS scheme adaptively selects the video quality level of each chunk. Measurement results show that HARCS can extend the video playback time up to 57.64% when compared with the conventional adaptation scheme that only considers the wireless network status.