Answer to Question #133136 in Physical Chemistry for Eric Jhon

Question

Titanium is used in airplane bodies because it is strong and light. It has a density of 4.55 g/cm^(3). If a cylinder of titanium is 7.75 cm long and has a mass of 153.2 g, calculate the diameter of the cylinder.

Answer 1

The formula for volume of a cylinder is V = $\pi$r²h.

The volume can be found from the given mass and density:

V = m / $\rho$ .

Therefore,

r² = V / $\pi$h = m / $\pi$h$\rho$ = 153.2g / (3.14 * 7.75cm * 4.55g/cm³) = 1.3836

r = 1.1763 cm

d = 2r = 2.35 cm

Answer: 2.35 cm