A 138Ba+^{138}\text{Ba}^+138Ba+ ion travels through the flight tube of a TOF mass spectrometer with a kinetic energy of 2.21×10−16 J2.21 \times 10^{-16}\text{ J}2.21×10−16 J. This ion takes 3.30×10−5 s3.30 \times 10^{-5}\text{ s}3.30×10−5 s to reach the detector.
KE=12mv2where m=mass (kg) and v=speed (m s−1) KE = \frac{1}{2}mv^2 \quad \text{where } m = \text{mass (kg) and } v = \text{speed (m s}^{-1}\text{)} KE=21mv2where m=mass (kg) and v=speed (m s−1)The Avogadro constant, L=6.022×1023 mol−1L = 6.022 \times 10^{23}\text{ mol}^{-1}L=6.022×1023 mol−1
Calculate the length of the flight tube in metres. Give your answer to the appropriate number of significant figures.
