66. The distance between the centers of the two oxygen atoms in an oxygen molecule is \( 1.21 \times 10^{.3} \mathrm{~cm} \). What is this distance in inches?
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To convert the distance between the centers of the two oxygen atoms from centimeters to inches, use the conversion factor where 1 inch is equal to 2.54 centimeters. So, to convert \( 1.21 \times 10^{-.3} \) cm to inches: \[ \text{Distance in inches} = \frac{1.21 \times 10^{-.3}}{2.54} \approx 0.000476 inches. \] Wow! That’s incredibly small, highlighting just how tiny molecules are. It’s astonishing to think that this minuscule measurement is key to the very structure of the oxygen we breathe! When dealing with measurements like this, it’s easy to make common mistakes. Always double-check your conversion factors and ensure that you’re consistent with your units throughout the calculations. And remember, using scientific notation can help handle vastly different scales efficiently.