
Solution :-
Volume of hydrogen gas in liter
47.00 ml * 1 L / 1000 ml = 0.047 L
Atmospheric pressure (mmHg)
746.37 mmHg
Vapor pressure of water in eudiometer (24.0 C) = 22.4 mmHg
Pressure of hydrogen gas in eudiometer = atmospheric pressure – vapor pressure of water
= 746.37 mmHg – 22.4 mmHg
= 723.97 mmHg
Pressure of hydrogen gas in (atm)
723.97 mmHg * 1 atm / 760 mmHg = 0.9526 atm
Calculated value of R
PV= nRT
R= PV/ nT
=(0.9526 atm * 0.047 L) / (0.002094 mol * 297.15 K)
= 0.07195 L atm / mol K
Percent error = [(calculated value – actual value)/ actual value]*100%
= [(0.07195 – 0.08206)/0.08206]*100%
= 12.32 %
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