A catalyst adsorb 100 mL of nitrogen gas at S.T.P. per gram of catalyst surface and forms a mono-molecular layer. The effective surface area occupied by one nitrogen molecule on the surface of catalyst is $0.16\times {10}^{-14} {\mathrm{cm}}^2$. What is the total surface area occupied by nitrogen molecules per gram of catalyst?
(Given: Volume of gas at STP = 22.4 L)

• Correct answer
  A

  $43.04\times {10}^5\mathrm{ }\mathrm{c}{\mathrm{m}}^2$
• B

  $0.18\times {10}^{-15}\mathrm{ }\mathrm{c}{\mathrm{m}}^2$
• C

  $42\times {10}^5\mathrm{ }\mathrm{c}{\mathrm{m}}^2$
• D

  $0.19\times 9^{-15}\mathrm{ }\mathrm{c}{\mathrm{m}}^2$

Hence, the correct answer is option: 'A'.