The mass of steam that condensed during a process

A room filled with saturated steam at 100 degrees C.  Now a 5 kg bowling ball at 25 degrees C is brought to the room.  Heat is transferred to the ball from the steam, and the temperature of the ball rises to 100 degrees C while some steam condenses on the ball as it loses heat (but it still remains at 100 degrees C).  The specific heat of the ball can be taken to be 1.8kj/kg degrees C.  What is the mass of the steam that condensed during that process?