#CuSO_4# ionises as follows
#CuSO_4rightleftharpoonsCu^"2+"+SO_4^"2-"#
So 1 mol #CuSO_4# pruduces 1mol #Cu^"2+"# ions.
#Zn# reduces #Cu^"2+"# ion as follows
#Cu^"2+"+Zn-> Cu + Zn^"2+"#
This equation tells that #1mol" "Cu^"2+"# requires #1mol" " Zn# for its reduction.
Now #5L" "1xx10^-3M CuSO_4# contains #5xx10^-3# mol #CuSO_4 # which produces # 5xx10^-3# mol #Cu^2+# ions and these ions require #5xx10^-3 mol" " Zn# atoms.
Mass of this Zn is
#=5xx10^-3" mol"xx "molar mass of Zn"#
#=5xx10^-3" mol"xx 65.38g/"mol"#
#=0.3269g#