"No. of moles"No. of moles == "mass"/"molar mass"massmolar mass ==
("22 carat"xx200*mg*"carat"^-1)/(196.97*g*mol^-1)22 carat×200⋅mg⋅carat−1196.97⋅g⋅mol−1 == ??mol??mol
And "number of gold atoms"number of gold atoms ==
("22 carat"xx200xx10^-3g*"carat"^-1)/(196.97*g*mol^-1)xx6.022xx10^23*mol^-122 carat×200×10−3g⋅carat−1196.97⋅g⋅mol−1×6.022×1023⋅mol−1, which gives a result as a NOOMBER!