carry out the following conversions.Enter your answer in scientific notation
a)232 amu to grams (b)135 amu to kilograms
(c)3.03 amu A to meters (d)3.19 A to nanometers
232 amu x (1 g/6.022E23 amu) = ?
For d there are 1E-8 cm = 1 A and 1E-9 nm = 1 m
Sure, I can help you with these conversions!
a) To convert from atomic mass units (amu) to grams, you can use the conversion factor:
1 amu = 1.66053906660 × 10^(-24) grams
To convert 232 amu to grams, you can multiply 232 by the conversion factor:
232 amu * (1.66053906660 × 10^(-24) grams/1 amu) = 3.84831248312 × 10^(-22) grams
Therefore, 232 amu is equal to 3.84831248312 × 10^(-22) grams in scientific notation.
b) To convert from atomic mass units (amu) to kilograms, you can use the conversion factor:
1 amu = 1.66053906660 × 10^(-27) kilograms
To convert 135 amu to kilograms, you can multiply 135 by the conversion factor:
135 amu * (1.66053906660 × 10^(-27) kilograms/1 amu) = 2.24171215391 × 10^(-25) kilograms
Therefore, 135 amu is equal to 2.24171215391 × 10^(-25) kilograms in scientific notation.
c) To convert from atomic mass units (amu) to meters, you can use the conversion factor:
1 amu = 1.66053906660 × 10^(-27) kilograms
Since mass and length are not directly related, we need to use another conversion factor. The relationship between mass and length is given by the Compton wavelength equation:
λ = h / mc
Where λ is the wavelength, h is the Planck constant, m is the mass, and c is the speed of light.
To convert 3.03 amu to meters, we need to use this equation:
λ = (h / mc) = (6.62607015 × 10^(-34) J·s / (3.03 amu * 1.66053906660 × 10^(-27) kg/1 amu))
Calculating this gives us:
λ = 2.47850976903 × 10^(-12) meters
Therefore, 3.03 amu is equal to 2.47850976903 × 10^(-12) meters in scientific notation.
d) To convert from angstroms (A) to nanometers (nm), you can use the conversion factor:
1 A = 0.1 nm
To convert 3.19 A to nanometers, you can multiply 3.19 by the conversion factor:
3.19 A * (0.1 nm/1 A) = 0.319 nm
Therefore, 3.19 A is equal to 0.319 nm in scientific notation.