Answer:
b) (i): 0.91 Amgstroms
(ii): 9.1 × 10^-11 Angstroms
(c): Volume = 20 Angstroms
Explanation:
• Let's first convert the units:
[tex]{ \rm{1 \:nanometre = 1 \times {10}^{ - 9} \: metres} } \\ { \rm{10 \: angstroms = 1 \times {10}^{ - 9} \: metres}} \\ { \rm{1 \: micrometer = 1 \times {10}^{ - 6} \: metres = 1000 \: nm}} \\ \\ { \rm{1 \: {nm}^{3} = 1000 \: {angstroms}^{3} }}[/tex]
Question (b)
[tex]{ \rm{radius = \frac{diameter}{2} }} \\ \\ { \rm{radius = \frac{0.182}{2} }} \\ \\ { \rm{radius = 0.091 \: nm}} \\ \\ { \mathfrak{ answer{ : { \rm{radius = (0.091 \times 10) \: angstroms}}}}} \\ \\ { \rm{radius = 0.91 \: angstroms}}[/tex]
[tex]{ \rm{radius = 0.091 \: nm}} \\ \\ { \rm{radius = 0.091 \times( 1 \times {10}^{ - 9} ) \: metres}} \\ \\ { \rm{radius = 9.1 \times {10}^{ - 11} \: m }}[/tex]
[tex]{ \rm{volume = (0.5 \times 0.2) \: nm \times 0.0002 \: micrometer}} \\ \\ { \rm{volume = 0.5nm \times 0.2nm \times (0.0002 \times 1000)nm}} \\ \\ { \rm{volume = 0.5 \times 0.2 \times 0.2 \: nm {}^{3} }} \\ \\ { \rm{volume = 0.02 \: nm {}^{3} }} \\ \\ { \rm{volume = (1000 \times 0.02) \: angstroms {}^{3} }} \\ \\ { \rm{volume = 20 \: angstroms}}[/tex]
