The mass of precious stones is at present in terms of carat Given that 1 carat = 3.168 grains and 1 gram = 15.4 grains, calculate the total mass of the ring is grams and kilograms which contains 0.500 carat diamond and 7.00 gram gold.

Explanation

The unit conversion factors to be used will be:
`1= (1 "crat")/(3.168 "grain") = (3.168 "grains")/(1 "carat")` and `1=(1 "gram")/(15.4 "grains") = (15.4"grains")/("1 gram") = 0.10` gram
`therefore` Total mass of the ring `= 7.00 + 0.10 g = 7.10 g xx (1 kg)/(1000 g) = 0.0071 `kg