Answer:
1.59x10⁻¹⁰m
Explanation:
To solve this question we must know that the length of the cubic cell, X, is equal to:
X = √8 * R
<em>Where R is the atomic radius of germanium</em>
And that in 1 unit cell there are 4 atoms of germanium.
To solve this question we must find the mass in 1 unit cell, with this mass we can find the volume of the cube and the length. With the length we can know the atomic radius:
<em>Mass in 1 unit cell -Molar mass Ge = 72.64g/mol:</em>
4 atoms Ge * (1mol / 6.022x10²³ atoms) = 6.64x10⁻²⁴ moles Ge
6.64x10⁻²⁴ moles Ge * (72.64g / mol) = 4.825x10⁻²²g Ge
<em>Volume unit cell:</em>
4.825x10⁻²²g Ge * (1cm³ / 5.32g) = 9.07x10⁻²³cm³
<em>Length unit cell:</em>
∛9.07x10⁻²³cm³ = 4.49x10⁻⁸cm * (1m / 100cm) = 4.49x10⁻¹⁰m
<em>Atomic radius Ge:</em>
4.49x10⁻¹⁰m / √8 =
<h3>1.59x10⁻¹⁰m</h3>
PV = constant
V doubles, P will become half
New pressure = 100/2 = 50 torr
The higher animals in the food chain would probably not survive.
