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10/110 Section CHE 100 Section Experiment Date: Lab Partner: Experimental Determination of the Gas Constant Experimental Data
• Average value of R (include units): • Percent Error between your average value and the theoretical value of R (show work):
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Answer #1

Trial 1.

Volume of H2 (V) = 27 mL = (27/1000) = 0.027 L.

Temperature of H2 (T) = 22.0 + 273 = 295 K.

Moles of H2(g) (n) = moles of Mg reacted

= Mass of Mg/molar mass

= (0.0265/24)

= 0.0011

Pressure of H (g) ; P = atomospheric pressure - vapor pressure of water

=( 771 - 18.7) mm Hg

= 752.3 mm Hg.

= (752.3/760) atm

= 0.989 atm.

Now, using ideal gas equation

PV = nRT

Or, R = (PV/nT) = ( 0.989×0.027)/(0.0011×295)

Or, R = 0.08228 L-atm/mol.K.

Percentage error =

(|theoretical value -calculated value|×100/theoretical value)

= (0.082057 - 0.08228)*100/0.082057

= 0.283%.

Questions.

Moles of Al = mass / molar mass of Al

= (3.00/27) = \frac{1}{9}

Mole ratio of Al and H2 = 2:3

Then moles of H2 = \frac{2}{3} × moles of Al = \frac{3}{2} ×\frac{1}{9} = 0.167

T = 24+273 = 297 K

V = 850 mL = 0.850 L

Using ideal gas equation

PV = nRT

Or, P = (nRT/V)

Or, P = (0.167× 0.082×297/0.850) = 4.78 atm.

2)

At STP

P = 1 atm, T = 273 K.

Then, V = (nRT/P) = (0.167× 0.082× 273/1)

= 3.74 L

Volume of ballon at STP is 3.74 L.

3)

At T = 11.2 +273 = 284.2 K

P = 438 mm Hg = (438/760) = 0.576 atm.

So,

V = ( nRT/P)

= {( 0.167×0.082×284.2)/0.576}

= 6.76 L.

New volume in ballon is 6.76 L

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