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Answer :
Final answer:
To calculate the theoretical number of moles of hydrogen gas produced, we can use the ideal gas law. After converting the units appropriately, we find that approximately 0.0015 moles of hydrogen gas are theoretically produced.
Explanation:
To calculate the theoretical number of moles of hydrogen gas produced, we can use the ideal gas law, which states that PV=nRT, where P is pressure, V is volume, n is number of moles, R is the gas constant, and T is temperature in Kelvin.
To use this formula, we first have to convert the given pressure into atmospheres since R uses atmospheres as units for pressure. 764.79 mm Hg converts to 1 atmosphere approximately as 1 atmosphere is 760 mm Hg. The volume will also have to be converted from mL to L, so 36.3 mL is 0.0363 L.
When we plug these values into the ideal gas law and solve for n, we get:
n = (1*0.0363)/(0.0821*294) ≈ 0.0015 moles of hydrogen gas.
Now, we need to report this value by using correct rounding rules.
Thus, number of moles of hydrogen gas produced is 0.0015 mol.
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