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Determine the bond length between two carbon atoms in a molecule of ethylene (C2H4) given that the bond order is 1.5 and the electronegativity of carbon is 2.5.

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To determine the bond length between two carbon atoms in a molecule of ethylene  C2H4 , we can use the concept of bond order and empirical data from known bond lengths.The bond order of 1.5 in ethylene indicates that the bond between the two carbon atoms is a combination of a single bond and a double bond. The bond length of a single bond  C-C  is approximately 1.54   angstroms , and the bond length of a double bond  C=C  is approximately 1.34 .We can use these values to estimate the bond length of the C-C bond in ethylene by taking the average of the single and double bond lengths, weighted by the bond order:Bond length  C-C  in ethylene =  1.5 * 1.34  +  2 - 1.5  * 1.54   / 2Bond length  C-C  in ethylene =  2.01  + 0.77   / 2Bond length  C-C  in ethylene  1.39 So, the bond length between two carbon atoms in a molecule of ethylene  C2H4  is approximately 1.39 .

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