Jennifer Mitchell, 22, who played on the Federal City College women's basketball team during the 1974-75 and 1975-76 seasons, was pronounced dead yesterday morning at Doctors Hospital in Lanham after she was found unconscious at a friend's home. An autopsy will be performed.

She had starred in an amateur basketball game Sunday afternoon in Baltimore.

Miss Mitchell, born in Pocahontas, Va., attended Hempstead High School and Nassau Community College on Long Island, N.Y., before entering FCC.

She played shooting guard her freshman and sophomore years at FCC, averaging more than 18 points per game. She was a member of FCC's team two years ago that finished seventh in the Association for Intercollegiate Athletics for Women national tournament.

Miss Mitchell had not been playing for FCC this year but played for the Sophisticated Ladies, an Amateur Athletic Union women's team from Washington. In the club's game against Allentown, Pa., in Baltimore on Sunday, she scored 18 points.

Miss Mitchell had intended to graduate from FCC and expressed interest in playing in a women's professional basketball league scheduled to open in October.

She tried out for the Montreal Olympics in Catonsville, Md., and advanced to the final camp in Warrensburg, Mo., but failed to make the U.S. women's team.

A women's basketball game to benefit Miss Mitchell's family will be played Wednesday night at 7 p.m. at H.D. Woodson High School in Washington. The Sophisticated Ladies will play the O'Boyle Tank Lines and admission will be $3.

Miss Mitchell is survived by her father, William D. Henry Jr.; her mother, Mary Henry; three brothers, Jerome Mitchell and John and James Henry; and two sisters, Janet and Joy Henry, all of Hempstead, N.Y.