Final answer:
The zero point energy of a He atom in a one-dimensional box can be calculated using a specific equation, and the ratio of the zero point energy to kT at a given temperature can be found by dividing the zero point energy by kT.
Step-by-step explanation:
The zero point energy of a particle in a one-dimensional box is given by the equation:
E0 = (h^2)/(8mL^2)
where h is the Planck's constant, m is the mass of the particle, and L is the length of the box.
For a helium (He) atom, the mass (m) is the mass of a helium atom, and the length (L) is given as 1.00 cm. So, to find the zero point energy (E0), you need to substitute these values into the equation.
To find the ratio of zero point energy to kT at 300K, you need to divide the zero point energy by kT, where k is the Boltzmann constant and T is the temperature in Kelvin.