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Laboratory Experiments12 Evaluation of the Gas Law Constant Show all Calculation

ID: 548034 • Letter: L

Question

Laboratory Experiments12 Evaluation of the Gas Law Constant Show all Calculation in a Separate Caleulation Section. Be Sure to Include All Units Trial 2 Trial 3 Trial 4 Trial 1 Mass of Mg, g Number of moles of - Initial eudiometer reading, mL Final eudiometer reading, ml Volume of gas, mL. Volume of gas, L 48031.92 132.92 757436 757.9 757,2% 757,9 Difference in lesere, mmHg- Difference in levels, mm solution Difference in levels, mmHg Vapor pressure of water, mmHg 17.478 17.4 I 2H1 7b.4sa Corrected H, pressu ewmHg-n-Tog 740,48 740 24.63 29.67 3.63 243.62 Temperature, K R, L-atm/K-mol Average R, L atm K-1mol1 Deviation from the average, 08246 L atm Kmol1 Average deviation, Latm K-mol Relative average deviation, % Relative error, % R. L mmHg/(K-mol) Average R, L mmHg/(K-mol R, L, psi/(K-mol) Average R, L psi/(K-mol) Molar Volume @STP ·042040 . Average Molar volume@ STP Relative error %

Explanation / Answer

No. of moles of Mg = no. of moles of H2 = n = 0.0416 g/24 g mol-1 = 0.00173 mol

Volume of gas, V = 48.95*10-3 L

Pressure of the gas, P = 740.458 mm Hg = 740.458/760 = 0.9743 atm = 0.974*14.6959 = 14.318 psi

Temperature, T = 293.63 K

Now, R = PV/nT

i.e. R = 0.9743 atm * 48.95*10-3 L/(0.00173 mol*293.63 K )

i.e. R = 0.09386 L atm K-1 mol-1 = R1

Similarly, you can find the R value for the remaining trials (2, 3 and 4).

The average R value <R>= (R1 + R2 + R3 + R4)/4

Deviation from the average, s = {(R1 - <R>)2 + (R2 - <R>)2 + (R3 - <R>)2 + (R4 - <R>)2/(4-1)}1/2

Relative standard deviation = (s/<R>)*100

Relative error, % = {(expected value - calculated value)/expected value}*100

R values in different units can be calculated according to the units of pressure mentioned above.

Molar volume at STP = 0.00173 mol * 22.4 L/mol = 0.039 L = V1

Similarly you can find the molar volumes at STP for the remaining trials (2, 3 and 4)

Average molar volume at STP = (V1 + V2 + V3 + V4)/4

Relative error can be calculated as shown above.