Answer:
The answer to your question is 7160 cm
Explanation:
Data
diameter = 1 mm
length = ?
amount of gold = 1 mol
density = 17 g/cm³
Process
1.- Get the atomic mass of gold
Atomic mass = 197 g
then, 197g ------------ 1 mol
2.- Calculate the volume of this wire
density = mass/volume
volume = mass/density
volume = 197/17
volume = 5.7 cm³
3.- Calculate the length of the wire
Volume = πr²h
solve for h
h = volume /πr²
radius = 0.05 cm
substitution
h = 5.7/(3.14 x 0.05²)
h = 5.7 / 0.0025
h = 7159.2 cm ≈ 7160 cm
Answer:
The length of this wire is 1477 cm
Explanation:
Step 1: Data given
diameter = 1.00 mm
Number of moles of gold = 1.00 mol
Density of gold = 17.0 g/cm³
Molar mass of gold = 196.97 g/mol
Step 2: Calculate volume
Volume = mass / density
Volume = 196.97 grams /17.0 g/cm³
Volume = 11.6 cm³
Step 3: Calculate length
Volume = π*r²*length
11.6 = π *(0.05)² *length
length = 1477 cm
The length of this wire is 1477 cm
