In a methane molecule CH4 , there is one carbon atom bonded to four hydrogen atoms in a tetrahedral arrangement. The bond length between two carbon atoms in a methane molecule is not directly given, as there is only one carbon atom in the molecule. However, we can find the bond length between the carbon and hydrogen atoms C-H bond length .The distance between any two hydrogen atoms bonded to adjacent carbon atoms is given as 0.1095 nm. In a tetrahedral arrangement, the angle between any two hydrogen atoms H-C-H is 109.5. We can use the law of cosines to find the C-H bond length.Let the C-H bond length be x. Then, using the law of cosines:0.1095^2 = x^2 + x^2 - 2x^2 * cos 109.5 0.011975 = 2x^2 - 2x^2 * cos 109.5 0.011975 = 2x^2 * 1 - cos 109.5 x^2 = 0.011975 / 2 * 1 - cos 109.5 x = sqrt 0.011975 / 2 * 1 - cos 109.5 x 0.108 nmSo, the bond length between the carbon and hydrogen atoms in a methane molecule is approximately 0.108 nm.