Lab 5 MW
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Dec 6, 2023
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Molar Volume of an Ideal Gas
1.
Write the balanced equation for the reaction between solid zinc and aqueous hydrochloric
acid. Be sure to include physical states.
2.
Record and calculate the following for all three trials.
Trial 1
Trial 2
Trial 3
a
Mass of zinc used (g)
0.250g
0.500g
1.00g
b
Volume of 6.00
M
HCl used (mL)
10mL
10mL
10mL
c
Molar mass of zinc (g/mol)
65.39g/mol
65.39g/mol
65.39g/mol
d
Moles of zinc reactant
0.0038mols
0.0076mol
0.0153mol
e
Moles of HCl reactant (Calculate from
M
and
V
)
0.06mols
0.06mols
0.06mols
f
Identity of Limiting Reactant
Zn
Zn
Zn
g
Moles of hydrogen produced
calculated
using stoichiometry from limiting reactant
(mol)
0.0038mols
0.0076mols
0.0153mols
h
Volume of gas
produced at initial room
temperature of 21.5°C
(mL)
92.2mL
184.5mL
368.9mL
i
Calculated Molar Volume
of the ideal
hydrogen gas at room temperature
(Volume/moles), expressed in units of
L/mol
(use unrounded value of moles H
2
for
calculation) – Calculated from your
experimental data
24.263L/mol
24.276L/mol
24.269L/mol
j
Under what conditions of temperature and
pressure is this molar volume value
valid? Include units.
21.5
C/1atm
21.5
C/1atm
21.5
C/1atm
𝑍𝑛(𝑠) + 2𝐻𝐶𝑙(𝑎𝑞) → 𝑍𝑛𝐶𝑙
ଶ
(𝑎𝑞) + 𝐻
ଶ
(𝑔)
3.
Compare the molar volumes obtained in your best two trials.
(a)
Did you expect these results
using different amounts of zinc metal in each trial?
(b) Did your Trial 3 have any results that
were unexpected?
(a) I did not expect the values to differ.
(b) No.
The top did pop off the syringe though.
4.
Calculate the theoretical value of the molar volume of an ideal gas at 21.5 °C using the ideal
gas law equation:
PV
=
nRT
where
R
= 0.08206 L
·
atm/(K
·
mol), under the same conditions of
pressure used in your experiment.
To solve for molar volume, rearrange the ideal gas law
equation so you’re
solving for V/n
with an answer with units of L/mol.
Show calculation.
5.
Calculate the average
experimental
value for the molar volume at 21.5 °C, and compare this
value with the
theoretical
“ideal” value at the same temperature.
Average Molar Volume from Trials 1 and 2
(L/mol).
This is your experimental value.
24.2695L/mol
Ideal molar volume from #4 (L/mol).
This is
your theoretical value.
24.1667L/mol
Explain any differences between these two
values for molar volume.
If there is no
difference, explain why you should expect a
difference.
Hydrogen is not an ideal gas.
An
ideal gas has zero intermolecular
forces and zero molecular volume.
𝑉
𝑛
=
𝑅𝑇
𝑃
=
൬
0.08206(𝐿 ∗ 𝑎𝑡𝑚)
𝐾 ∗ 𝑚𝑜𝑙
൰ (294.5𝐾)
1.00𝑎𝑡𝑚
= 24.16667𝐿/𝑚𝑜𝑙
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