Final answer:
To calculate the atomic mass of the metal, we can use the ideal gas law. Given the pressure, volume, and temperature, we can determine the number of moles of hydrogen gas. By dividing the mass of hydrogen by the number of moles, we can calculate the atomic mass of the metal.
Step-by-step explanation:
To calculate the atomic mass of the metal, we need to use the ideal gas law. The ideal gas law equation is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
First, we need to convert the given pressure from Torr to atm by dividing it by 760. So, the pressure becomes 0.995789 atm.
Next, we convert the volume from mL to L by dividing it by 1000. So, the volume becomes 0.229 L.
Now, we can use the ideal gas law to calculate the number of moles of hydrogen. Rearranging the equation, we get n = (PV) / (RT).
Plugging in the values, we have n = (0.995789 atm * 0.229 L) / (0.08205 L atm /(K mol) * (25 + 273.15)K).
Simplifying the equation gives us n = 0.01012 mol.
Since hydrogen gas has a molar mass of 2.02 g/mol, the atomic mass of the metal can be calculated by dividing the mass of hydrogen by the number of moles. So, the atomic mass of the metal is (2.02 g/mol) / (0.01012 mol) = 199.60 g/mol.