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Answer:
The molar mass of the metal is 54.9 g/mol.
Explanation:
When we work with gases collected over water, the total pressure (atmospheric pressure) is equal to the sum of the vapor pressure of water and the pressure of the gas.
Patm = Pwater + PH₂
PH₂ = Patm - Pwater = 1.0079 bar - 0.03167 bar = 0.9762 bar
The pressure of H₂ is:
![0.9762bar.\frac{1atm}{1.013bar} =0.9637atm](https://tex.z-dn.net/?f=0.9762bar.%5Cfrac%7B1atm%7D%7B1.013bar%7D%20%3D0.9637atm)
The absolute temperature is:
K = °C + 273 = 25°C + 273 = 298 K
We can calculate the moles of H₂ using the ideal gas equation.
![P.V=n.R.T\\n=\frac{P.V}{R.T} =\frac{0.9637atm \times 0.249L }{(0.08206atm.L/mol.K)\times298K} =9.81 \times 10^{-3} mol](https://tex.z-dn.net/?f=P.V%3Dn.R.T%5C%5Cn%3D%5Cfrac%7BP.V%7D%7BR.T%7D%20%3D%5Cfrac%7B0.9637atm%20%5Ctimes%200.249L%20%7D%7B%280.08206atm.L%2Fmol.K%29%5Ctimes298K%7D%20%3D9.81%20%5Ctimes%2010%5E%7B-3%7D%20mol)
Let's consider the following balanced equation.
M(s) + H₂SO₄(aq) ⟶ MSO₄(aq) + H₂(g)
The molar ratio of M:H₂ is 1:1. So, 9.81 × 10⁻³ moles of M reacted. The molar mass of the metal is:
![\frac{0.539g}{9.81 \times 10^{-3} mol} =54.9g/mol](https://tex.z-dn.net/?f=%5Cfrac%7B0.539g%7D%7B9.81%20%5Ctimes%2010%5E%7B-3%7D%20mol%7D%20%3D54.9g%2Fmol)
<span>Nuclear fission is either a nuclear reaction or radio active decay process in which nucleus (the center) of an atom splits into smaller parts called nuclei. This is an extremely exothermic reaction (i.e a reaction which produces heat) resulting into release of massive amount of energy in the form of heat and sometimes light. The reaction produces much more energy as compared to a similar mass of a conventional fuel, such as Petrol/Kerosene/Petroleum Gas etc. This makes Nuclear fission an extremely dense and at times very destructive source of energy. Some common elements capable of Nuclear fission are Uranium, Plutonium etc. Though in modern days Nuclear Fission are finding application in being a source of energy (such as a Nuclear power plant), but they are also used in destructive format as Nuclear Bombs and it's one of the top most imminent threats to the existence of humanity in future (in the event of a Nuclear war).</span>