what is the kinetic energy, in J, of
a)an Ar atom moving w/ a speed of 650m/s
b)a mole of Ar atoms moving w/ a speed of 650m/s?
a) K.E. = (1/2) M V^2
For M, use the mass of an Argon atom. It equals 0.040 kg (40 g) divided by Avogadro's number. M must be in kg to get the K.E. in Joules
b) Multiply the (a) result by Avogadro's number.
thanx
a) K.E. = (1/2) (0.040 kg/6.022 x 10^23) (650 m/s)^2
= 1.9 x 10^-21 J
b) K.E. = (1.9 x 10^-21 J) (6.022 x 10^23)
= 1.1 x 10^3 J
a) To find the kinetic energy of an Ar atom, we use the formula:
K.E. = (1/2) * M * V^2
Given that the speed (V) of the Ar atom is 650 m/s, we need to determine the mass (M) of an Ar atom first.
The mass of an Ar atom is 0.040 kg (or 40 g) divided by Avogadro's number (6.022 x 10^23 atoms/mol).
So, let's calculate the mass (M) of an Ar atom:
M = 0.040 kg / (6.022 x 10^23 atoms/mol)
Now, let's substitute the values into the formula to find the kinetic energy:
K.E. = (1/2) * M * V^2
K.E. = (1/2) * (0.040 kg / (6.022 x 10^23 atoms/mol)) * (650 m/s)^2
Calculating this expression will give you the kinetic energy of an Ar atom in Joules (J).
b) To find the kinetic energy of a mole of Ar atoms, we can multiply the kinetic energy of one Ar atom (determined in part a) by Avogadro's number (6.022 x 10^23 atoms/mol).
So, the kinetic energy of a mole of Ar atoms is given by:
Kinetic energy of a mole of Ar atoms = Kinetic energy of one Ar atom * Avogadro's number
Calculation:
Kinetic energy of a mole of Ar atoms = [(1/2) * M * V^2] * (6.022 x 10^23 atoms/mol)
Solving this expression will give you the kinetic energy of a mole of Ar atoms in Joules (J).
To find the kinetic energy (K.E.) of an Ar atom moving with a speed of 650 m/s, we can use the formula:
K.E. = (1/2) * M * V^2
Here's how to calculate it:
a) Find the mass (M) of an Ar atom:
The mass of an Ar atom is equal to 0.040 kg (or 40 g) divided by Avogadro's number (6.022 x 10^23). This will give us the mass in kilograms.
M = 0.040 kg / Avogadro's number
b) Calculate the kinetic energy (K.E.):
Now that we have the mass (M) and the velocity (V = 650 m/s), we can plug them into the formula:
K.E. = (1/2) * M * V^2
Substitute the values of M and V obtained in the previous steps, and calculate the K.E. in Joules.
To find the kinetic energy of a mole of Ar atoms moving with the same speed:
Multiply the result obtained in part (a) by Avogadro's number, which will give you the total kinetic energy of one mole of Ar atoms.
K.E. (mole) = K.E. (Ar atom) * Avogadro's number
By following these steps, you can find the kinetic energy for both an Ar atom and a mole of Ar atoms moving with a speed of 650 m/s.