Problem 10.59 Hydrogen gas is produced when zinc reacts with sulfuric acid: Zn(

Question

Problem 10.59

Hydrogen gas is produced when zinc reacts with sulfuric acid:
Zn(s)+H2SO4(aq)ZnSO4(aq)+H2(g)

Part A

If 158 mL of wet H2 is collected over water at 24 C and a barometric pressure of 739 torr , how many grams of Zn have been consumed? (The vapor pressure of water is 22.38 torr.)

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Problem 10.59

Hydrogen gas is produced when zinc reacts with sulfuric acid:
Zn(s)+H2SO4(aq)ZnSO4(aq)+H2(g)

Part A

If 158 mL of wet H2 is collected over water at 24 C and a barometric pressure of 739 torr , how many grams of Zn have been consumed? (The vapor pressure of water is 22.38 torr.)

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Explanation / Answer

V = 158 mL = 0.158*10^-3 m3of wet H2

T = 24 C = 297K

P = 739 torr = 98525 Pa

Find moles of H2

PV = nRT

n = PV/(RT) = 98525* 0.158*10^-3 m3 / (8.314*297 )= 0.0063 gmol of H2

Ratios

Zn(s)+H2SO4(aq)ZnSO4(aq)+H2(g)

1 mol fo H2 per 1 mol of Zn

therefore

0.0063 mol of H2 needed 0.0063 mol of Zn

Change that to mass

mass = n*MW = 0.0063 *65.38 = 0.4118 g of Zn(s)

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