To solve this question, we use the Clapeyron equation. The Clapeyron equation is a mathematical expression that relates quantities such as pressure (P), volume (V), temperature (T) and the number of particles (n) that make up an ideal gas.
PV = nRT
we have
P = 758 mmHg
V = ???
n = we can find it using the mass of zinc
R = 0.082 atm.L/mol.K
T = 20 °C
So first let's transform 758 mmHg into atm.
1 atm --- 760 mmHg
x atm --- 758 mmHg
x = 0.997369 atm
Now let's find n, using the following formula: moles = mass/molar mass
molar mass of Zn is 65.38 g/mol
moles = 0.125/65.38
moles = 1.9 x 10^-3 moles
Let's transform 20 °C into kelvin
Tk = Tc + 273
Tk = 20 + 273
Tk = 293 K
Now let's replace the values on the formula:
0.997369 x V = 1.9 x 10^-3 x 0.082 x 293
V = 0.0459/0.997369
V = 0.0461 L
Answer: V = 0.0461 L