The density of gold is\[19\text{ }g/c{{m}^{3}}\]. If \[1.9\times {{10}^{-4}}g\] of gold is dispersed in one litre of water to give a sol having spherical gold particles of radius 10 nm, then the number of gold particles per \[m{{m}^{3}}\] of the sol will be:

• A. \[1.9\times {{10}^{12}}\]
• B. \[6.3\times {{10}^{14}}\]
• C. \[6.3\times {{10}^{10}}\]
• D. \[2.4\times {{10}^{6}}\]