5.7 CHAPTER 5. THERMAL PROPERTIES AND IDEAL GASES
- 6 g of chlorine (Cl 2 ) occupies a volume of0.002 m^3 at a temperature of 26◦C. What is the
pressure of the gas under these conditions?
- An average pair of human lungs contains about 3.5 � of air after inhalation and about 3.0 � after
exhalation. Assuming that air in your lungs isat 37◦C and 1.0 atm, determine the number of
moles of air in a typicalbreath.
- A learner is asked tocalculate the answer tothe problem below:
Calculate the pressure exerted by 1.5 moles of nitrogen gas in a container with a volume of 20
dm^3 at a temperature of 37◦C.
The learner writes the solution as follows:
V = 20 dm^3
n = 1.5 mol
R = 8.3 J·K−^1 mol−^1
T = 37 + 273 = 310 K
pT = nRV, therefore
p =
nRV
T
=
1. 5 × 8. 3 × 20
310
= 0. 8 kPa
(a) Identify 2 mistakes the learner has made inthe calculation.
(b) Are the units of thefinal answer correct?
(c) Rewrite the solution, correcting the mistakesto arrive at the right answer.
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5.7 Molar volume of gases ESBBE
It is possible to calculatethe volume of a mole ofgas at STP using what we now know about gases.
- Write down the ideal gas equation
pV = nRT, therefore V =nRTp
- Record the values thatyou know, making surethat they are in SI units
You know that the gas isunder STP conditions. These are as follows:
p = 101. 3 kPa = 101300 Pa
n = 1 mol
R = 8. 3 J· K−^1 mol−^1
T = 273 K