1.

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

Answer»

SOLUTION :The unit CONVERSION factors will be :
`1=("1 carat")/(3.168" grains")=("3.168 grains")/("1 carat")`
`1=("1 gram")/("15.4 grains")=("15.4 grains")/("1 gram")`
`"0.500 carat"="0.500 carat"xx("3.168 grains")/("1 carat")xx("1 gram")/("15.4 grains")="0.10 gram"`
`THEREFORE"Total MASS of the ring"=7.00+0.10g=7.10gxx(1kg)/(1000G)=0.0071kg.`


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