need help answering questions from gas constant experiment. please show your wor
ID: 541142 • Letter: N
Question
need help answering questions from gas constant experiment. please show your work for #3 and explain the others thoroughly
Explanation / Answer
Write the balanced chemical equation for the reaction.
Mg (s) + 2 HCl (aq) -------> MgCl2 (aq) + H2 (g)
As per the stoichiometric equation,
1 mole Mg = 1 mole H2.
Atomic mass of Mg = 24.305 g/mol; molar mass of H2 = 2*1.008 g/mol = 2.016 g/mol.
Mole(s) of Mg corresponding to 0.0938 g Mg = (0.0938 g)/(24.305 g/mol) = 0.0038593 mole.
Mole(s) of H2 = (0.0038593 mole Mg)*(1 mole H2/1 mole Mg) = 0.0038593 mole.
We need to ascertain the pressure of dry hydrogen gas which is given by the equation
P = Pa – PH2O - Pleveldifference
The atmospheric pressure, Pa is 786.8 mmHg, PH2O = 30.0 mmHg; the level difference is 12.6 mm; this can be converted to pressure difference as
Plevel difference = (12.6/13.5) mmHg = 0.93 mmHg; therefore, P = (786.8 – 30.0 – 0.93) mmHg = 755.87 mmHg.
Use the ideal gas equation to find out the value of the gas constant, R.
P*V = n*R*T where P = 755.87 mmHg; V = 96.21 mL = (96.21 mL)*(1 L/1000 mL) = 0.09621 L; T = 29.3°C = (29.3 + 273.15) K = 302.45 K and n = 0.0038593 mole.
(755.87 mmHg)*(0.09621 L) = (0.0038593 mole)*R*(302.45 K)
====> R = 62.30246 L.mmHg/mol.K (ans).
The accepted value of R in L.mmHg/mol.K is 62.36367 L.mmHg/mol.K.
Percent error = (accepted value) – (experimental value)/(accepted value)*100 [… denotes the absolute value without any sign]
= (62.36367 L.mmHg/mol.K) – (62.30246 L.mmHg/mol.K)/(62.36367 L.mmHg/mol.K)*100
= 0.098% (ans).
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