What is the length of a box in which the minimum energy of an electron is 1.5*10^-18 j?

L=2*10^-10m

Explanation:

we need to evaluate for a minimum energy:

Planck constant=  h = 6,62607015 ×10 -34 kg⋅m2⋅s−1

1.5*10^-18J = 10eV

En=  n^2h^2 /  8mL^2

for n=1 (minimum energy)

E1=  h^2 /  8mL^2

so...

L^2= h^2/(8mE1)

L^2= (6.63*10^-34)^2 / [ 8(9.11*10^-31 )*(1.5*10^-18J )]

L^2= 4.02*10^-20

L= 2*10^-10 m

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.