While fluids in spaces with macroscopic dimensions are homogeneous, having the same density all around the space occupying, fluids in nanopores are inhomogeneous. This characteristic of the fluid in nanopores grant them special applications. In this thesis, the structure of a binary hard-sphere mixture inside and outside a nanopipette (a nanopore constructed of a truncated cone part and a cylindrical part) as well as its adsorption is studied in different conditions of bulk density, mole fractions, the ratio of the larger type fluid (type b) to the smaller type (type a), which will be called a and the redius of nanopipette tip. First, the structure of the binary mixture of the two species with equal mole fractions, inside and outside a nanopipette was studied and it was observed that the density functions of both species inside the nanopipette has larger height and depth of oscillations than the density functions of the the species outside the nanopipette. So the fluid is said to be more inhomogeneous inside the the nanopipette than outside it. Moreover, the density at the wall of the nanopipette, called contact density, is noticeably larger than points far from the wall, due to the entropy effect. Outside the nanopipette the inhomgeneity exists only in a distance of two or three times the molecular diameter of the species and beyond this length, the density is constant. The contact densities of the species are controlled by the type and radius of the wall curvature. Nanopipette wall has two concave and convex sides. The outer surface of the wall is convex and the inner surface of the wall is concave. Densities at concave surfaces are greater than those at convex surfaces. Among concave surfaces, densities at those with higher radius are greater. The most concave region in the nanopipette is the inner surface at the joint between the truncated cone part and the cylindrical part and as expected the highest contact density was observed in this region. In a few molecular diameter of species above this region, the structure of the fluid is repeated due to the same radius of curvature of the wall. Investing the effect of the bulk density on the structure of the two species inside the nanopipette, it was observed that higher bulk densities cause more inhomogeneity inside the nanopipette. Also, the difference between contact densities of the two species inside and outside the nanopipette increase with bulk density. Studying the effect of a on structure and adsorption of the binary mixture with equal mole fractions revealed that increasing a causes more inhomogeneity and contact densities, but causes a decrease in adsorption of larger molecules and the reverse change happens in the adsorption of the smaller molecules with increasing a. Furthermore, the density of type b at the nanopipette tip increases due to an increase in forbidden space. The next study was done to investigate the effect of a on structure and adsorption of a binary mixture with unequal mole fractions. The results indicated that due to a low density of type b, the contact density of b is lower and the large size of b molecules and the consequent increase in forbidden space cannot increase the contact density of larger molecules. Adsorption data also presented that increasing a results in a decrease in adsorption of larger molecules. Finally, the effect of the radius of the nanopipette tip on the structure and adsorption of the binary mixture with unequal mole fractions was studied. It was observed that there is a competition between two factors of the radius of the tip and the slope of the conical region wall of the nanopipette, creating a minimum in the diagram of adsorption vs. a. On the other hand, the adsorption of type a increases with a in an oscillating manner.