An alpha particle,4He2+ , has a mass of 4.00151 .
Find the value of its charge to mass ratio in C/kg.
How do I solve this?
Thank you!
Nuclei with the same number of neutrons but different mass numbers are called isotones. Write the symbols of four isotones of 236Th
To find the charge to mass ratio (q/m) for an alpha particle, we need to divide its charge by its mass. Here is how you can solve it:
Step 1: Identify the charge and mass of the alpha particle.
- The charge of an alpha particle is 2 elementary charges (2e), where e is the charge of an electron, approximately equal to 1.602 x 10^-19 C.
- The given mass of the alpha particle is 4.00151 atomic mass units (u).
Step 2: Convert the atomic mass unit (u) into kilograms.
- Recall that 1 atomic mass unit is equal to 1.66053906660 x 10^-27 kg.
- Multiply the given mass in atomic mass units by this conversion factor to get the mass in kilograms.
Step 3: Calculate the charge to mass ratio.
- Divide the charge (in Coulombs) by the mass (in kilograms) to get the charge to mass ratio in C/kg.
Let's do the calculations:
Step 1:
Charge of alpha particle (q) = 2e, where e = 1.602 x 10^-19 C
Mass of alpha particle (m) = 4.00151 atomic mass units (u)
Step 2:
Conversion factor: 1 u = 1.66053906660 x 10^-27 kg
Mass in kilograms (m) = 4.00151 u x (1.66053906660 x 10^-27 kg/u)
Step 3:
Charge to mass ratio (q/m) = (2e) / (4.00151 u x 1.66053906660 x 10^-27 kg/u)
You can now plug in the values and calculate the resulting charge to mass ratio in Coulombs per kilogram (C/kg).
the charge is 2*1.6E-19 coulombs
the mass is 4*1.672E-27 kg
so mass/charge= you do it.