How many liters of h2 gas, collected over water at an atmospheric pressure of 752 mmhg and a temperature of 21.0°c, can be made from 1.566 g of zn and excess hcl? the partial pressure of water vapor is 18.65 mmhg at 21.0°c?

The answer is V = 0.6 L

The explanation:

1- First we will get P (H) :

p (H) = p total - p (H2O)

= 752 mmHg - 18.65 mmHg

= 733 mmHg

= 733 mmHg X (1 atm / 760 atm) = 0.964 atm

2- then when the reaction equation is:

Zn(s)+2HCl(aq) -> H2(g)+ZnCl2(aq)

so, then 1 mole of Zn will produce 1 mole of H2.

so, we need to get first the mole of Zn:

mole Zn = mass / molar mass

= 1.566g / 65.38g/mol

= 0.02395mol

∴ 0.02395 mol of Zn will produce 0.02395 mol of H2

by using the ideal gas equation we can get the volume V :

when :

PV = nRT

when T is the temperature = 21 + 273 = 294 K

and R is the ideal gas constant = 0.0821 L atm /K mol

and n is the number of moles = 0.2395 mol

and P is the pressure = 0.964 atm

so, by substitution:

V = (0.02395 moles H2)(0.0821 L atm / K mole)(294 K) / (0.964 atm)

= 0.6 L

0.299 liter

Explanation:

1) Balanced chemical equation

Zn(s) + 2HCl(aq) → ZnCl₂(aq) + H₂(g) ↑

2) Mole ratios

1 mol Zn(s) : 2 mol HCl(aq) : 1mol ZnCl₂(aq) : 2 mol H₂(g)

3) Convert 1.566 g Zn into number of moles (n)

n = 1.566g / 65.39 g/mol = 0.02395 mol

4) Set the proportion

1 mol Zn / 2 mol H₂ = 0.02395 mol Zn / x ⇒ x = 0.01197 mol H₂

5) Calcualte the partial pressure of H₂

Partial pressure H₂ = Total pressure - partial pressure of water vapor

Partial pressure H₂ = 752 mmHg - 18.65 mmHg = 733.35 mmHg

Convert to atm = 733.5 mmHg × 1 atm/ 760mmHg = 0.9649 atm

6) Calculate volume using ideal gas equation

PV = nRT ⇒ V = nRT/P

⇒ V = 0.01197 mol × 0.0821 atm×liter / k×mol × (21 + 273k) / 0.9649atm

V = 0.2994 liter