To convert the gold grade from nanograms per tonne to grams per tonne and parts per million, let's follow these calculations step by step.
i) Convert to grams per tonne (g/t)
- We have the gold grade as 5,700,000,000 nanograms per tonne.
- To convert nanograms to grams, we use the fact that \( 1 , \text{gram} = 1,000,000,000 , \text{nanograms} \).
- Therefore, we can convert the gold grade as follows:
\[ \text{Gold grade in g/t} = \frac{5,700,000,000 , \text{nanograms}}{1,000,000,000 , \text{nanograms/gram}} = 5.7 , \text{g/t} \]
ii) Convert to parts per million (ppm)
- The definition of parts per million (ppm) is the same as grams per tonne (g/t) when dealing with solids, as there are 1,000,000 grams in a tonne.
- Because of this, the gold grade in g/t will also be the same numeric value in ppm.
Thus, the gold grade is:
\[ \text{Gold grade in ppm} = 5.7 , \text{ppm} \]
Summary:
- Gold Grade in grams per tonne (g/t): 5.7 g/t
- Gold Grade in parts per million (ppm): 5.7 ppm