<u>Answer:</u> The mass percent of zinc in the alloy is 78.68 %
<u>Explanation:</u>
We are given:
Mass of sample of alloy = 0.2500 g
Let the mass of aluminium be 'x' grams and mass of zinc will be (0.2500 - x) g
To calculate the amount of hydrogen gas produced, we use the equation given by ideal gas which follows:

where,
P = pressure of the gas = 755 mmHg
V = Volume of the gas = 0.147 L
T = Temperature of the gas = ![25^oC=[25+273]K=298K](https://tex.z-dn.net/?f=25%5EoC%3D%5B25%2B273%5DK%3D298K)
R = Gas constant = 
n = number of moles of hydrogen gas = ?
Putting values in above equation, we get:

To calculate the number of moles, we use the equation:
.....(1)
Molar mass of aluminium = 27 g/mol
Putting values in equation 1, we get:

The chemical equation follows:

By Stoichiometry of the reaction:
2 moles of aluminium produces 3 moles of hydrogen gas
So,
moles of aluminium will produce =
of hydrogen gas
Molar mass of zinc = 65.4 g/mol
Putting values in equation 1, we get:

The chemical equation follows:

By Stoichiometry of the reaction:
1 mole of zinc produces 1 moles of hydrogen gas
So,
moles of zinc will produce =
of hydrogen gas
- <u>Equating the moles of hydrogen gas:</u>

To calculate the mass percentage of zinc in alloy, we use the equation:

Mass of zinc = (0.2500 - x) = [0.2500 - 0.0533] = 0.1967 g
Mass of alloy = 0.2500 g
Putting values in above equation, we get:

Hence, the mass percent of zinc in the alloy is 78.68 %