A piston cylinder arrangement originally contains 0.1 kg of saturated water vapor at 10 bars. A line with steam flowing at 20 bars and 500 C is connected to the cylinder through an intially closed valve. During a constant pressure process maintained by a weighted piston, steam is admitted to the cylinder reaches 300 C, while a heat loss of 90kJ occurs simultaneously through the cylinder walls. Determine the amount of mass entering the cylinder from the line, in kilograms.