College

What volume of [tex]H_2[/tex] gas, collected over water at 27°C and 97.5 kPa, is produced by 3 g of zinc reacting completely with sulfuric acid? The vapor pressure of water at 27°C is 30.6 kPa.

Answer :

Final answer:

The volume of H2 gas collected over water at 27°C and 97.5 kPa is 0.0992 L.

Explanation:

First, we need to calculate the number of moles of zinc in 3 g of zinc.

The molar mass of zinc is 65.38 g/mol, so we have:

Number of moles = mass / molar mass

= 3 g / 65.38 g/mol

= 0.04587 mol

Next, we can use the ideal gas law, PV = nRT, to calculate the volume of H2 gas.

The given temperature is 27°C, which we need to convert to Kelvin (27°C + 273.15 = 300.15 K).

The given pressure is 97.5 kPa. The vapor pressure of water at 27°C is 30.6 kPa.

Therefore, the partial pressure of H2 gas is the given pressure minus the vapor pressure of water:

Partial pressure of H2 = 97.5 kPa - 30.6 kPa

= 66.9 kPa

Now we can substitute the values into the ideal gas law equation:

V * 66.9 kPa = 0.04587 mol * 8.314 J/mol·K * 300.15 K

V = (0.04587 mol * 8.314 J/mol·K * 300.15 K) / 66.9 kPa

= 0.0992 L

The volume of H2 gas collected over water at 27°C and 97.5 kPa is 0.0992 L.