Answer:
98 g/mol
Explanation:
atomic mass for hydrogen=1
atomic mass for sulphur=32
atomic mass for oxygen=16
atomic mass for sulphuric acid=2H + S + 4O
=2x1 + 32 + 4x16
2+32+64=34+64
=98g/mol
The formula to determine the wavelength is, De-Broglie wavelength formula:
-(1)
where,
is wavelength, m is mass, v is velocity and h is Planck's constant =
= ![6.63\times 10^{-34} kgm^{2}s^{-1}](https://tex.z-dn.net/?f=6.63%5Ctimes%2010%5E%7B-34%7D%20kgm%5E%7B2%7Ds%5E%7B-1%7D)
mass, m = 147 g (given)
Since, 1 g = 0.001 kg
So, 147 g = 0.147 kg
v = 91.0 mph (given)
Converting mph to mps:
Since, ![1 mph = \frac{1.609\times 10^{3} ms^{-1}}{60\times 60}](https://tex.z-dn.net/?f=1%20mph%20%3D%20%5Cfrac%7B1.609%5Ctimes%2010%5E%7B3%7D%20ms%5E%7B-1%7D%7D%7B60%5Ctimes%2060%7D)
So,
= ![40.67 ms^{-1}](https://tex.z-dn.net/?f=40.67%20ms%5E%7B-1%7D)
Substituting the values in formula 1:
![\lambda =\frac{6.63\times 10^{-34} kgm^{2}s^{-1}}{0.147 kg\times 40.67 ms^{-1}}](https://tex.z-dn.net/?f=%5Clambda%20%3D%5Cfrac%7B6.63%5Ctimes%2010%5E%7B-34%7D%20kgm%5E%7B2%7Ds%5E%7B-1%7D%7D%7B0.147%20kg%5Ctimes%2040.67%20ms%5E%7B-1%7D%7D)
![\lambda =1.11\times 10^{-34} m](https://tex.z-dn.net/?f=%5Clambda%20%3D1.11%5Ctimes%2010%5E%7B-34%7D%20m)
Hence, the wavelength wavelength of a 147-g baseball traveling at 91.0 mph is
.