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Chem 603

This document contains 10 chemistry problems involving gas laws, thermodynamics, and calculations of heat capacity. The problems cover a range of topics including determining pressure required for gas compression, calculating gas volumes at different temperatures and pressures using the ideal gas law, deriving expressions for volume changes with changes in moles of gas, and determining enthalpy and heat capacity values.

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145 views2 pages

Chem 603

This document contains 10 chemistry problems involving gas laws, thermodynamics, and calculations of heat capacity. The problems cover a range of topics including determining pressure required for gas compression, calculating gas volumes at different temperatures and pressures using the ideal gas law, deriving expressions for volume changes with changes in moles of gas, and determining enthalpy and heat capacity values.

Uploaded by

subash1111@gmail.com
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOC, PDF, TXT or read online on Scribd
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1. What pressure is required to compress an ideal gas from100 ft3 and 1.00 atm to 2.

00 ft3
under isothermal conditions?

2. A rubber balloon was filled with helium at 25 C and placed in a beaker of liquid nitrogen
at -196 C. The volume of the cold helium was 15 cm3. Assuming ideal gas behavior and
isobaric conditions, what was the volume of the helium at 25 C?

3. To what temperature must an ideal gas be heated under isobaric conditions to increase the
volume from 199 cm3 at 25 C to 1.00 dm3?

4. The pressure in an ideal gas thermometer increased from 589 torr to785 torr when the
thermometer bulb was transferred from an ice-water bath at 0 C to a beaker of boiling
water. Assuming that the volume of the thermometer bulb did not change, what was the
temperature of the boiling water?

V
5. Derive an expression for n for an ideal gas. What will be the volume change
T, P
corresponding to an increase of 0.01 mol at 25 C and 1.00 bar? The molar volume of an
V kn V
ideal gas under these conditions is 24.8 L/mol. (Hint: n = k ).
T, P n T, P n

6. What volume of hydrogen will be produced at 0.963 bar and 28 C from the reaction of
6.0 g of zinc with excess 6 M hydrochloric acid? Assume that hydrogen is an ideal gas
under these conditions.

7. Prepare a plot of PV/T against P to determine R from the following data for CO2 at 0 C.
P(atm) 0.500 0.100 0.0100
V/(L/mol) 44.672 223.980 2241.204

8. For the chemical equation C(s) + CO2(g) 2CO(g), H = 172.459kJ at 1.00 bar
and 25 C. Find U for the reaction. Assume ideal gas behavior for CO2 and CO. The
density of graphite is 2.25 g/cm3.

-2-
H
9. The heat capacity at constant pressure (CP) is Cp = . Show that CP =
T P

H o (thermal) H oT H o298

T P T P

10. A 150-W heater was placed in 1.00kg of methanol and turned on to exactly 1 min. The
temperature increased by 3.54 C. Assuming that all the heat is absorbed by the
methanol, calculate the molar heat capacity for CH3OH(l)

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