(a) Use the ideal gas equation to estimate the temperature at which 1.00 kg of steam (molar mass M = 18.0 g/mol) at a pressure of 1.50 × 10 6 Pa occupies a volume of 0.220 m 3 . (b) The van der Waals constants for water are a = 0.5537 Pa m 6 /mol 2 and b = 3.049 × 10 − 5 m 3 /mol. Use the Van der Waals equation of state to estimate the temperature under the same conditions. (c) The actual temperature is 779 K. Which estimate is better? `
(a) Use the ideal gas equation to estimate the temperature at which 1.00 kg of steam (molar mass M = 18.0 g/mol) at a pressure of 1.50 × 10 6 Pa occupies a volume of 0.220 m 3 . (b) The van der Waals constants for water are a = 0.5537 Pa m 6 /mol 2 and b = 3.049 × 10 − 5 m 3 /mol. Use the Van der Waals equation of state to estimate the temperature under the same conditions. (c) The actual temperature is 779 K. Which estimate is better? `
(a) Use the ideal gas equation to estimate the temperature at which 1.00 kg of steam (molar mass
M
=
18.0
g/mol) at a pressure of
1.50
×
10
6
Pa occupies a volume of 0.220 m3. (b) The van der Waals constants for water are
a
=
0.5537
Pa m6/mol2 and
b
=
3.049
×
10
−
5
m3/mol. Use the Van der Waals equation of state to estimate the temperature under the same conditions. (c) The actual temperature is 779 K. Which estimate is better? `
Statistical thermodynamics. The number of imaginary replicas of a system of N particlesa) cannot be greater than Avogadro's numberb) must always be greater than Avogadro's number.c) has no relation to Avogadro's number.
Lab-Based Section
Use the following information to answer the lab based scenario.
A student performed an experiment in an attempt to determine the index of refraction of glass.
The student used a laser and a protractor to measure a variety of angles of incidence and
refraction through a semi-circular glass prism. The design of the experiment and the student's
results are shown below.
Angle of
Incidence (°)
Angle of
Refraction (º)
20
11
30
19
40
26
50
31
60
36
70
38
2a) By hand (i.e., without using computer software), create a linear graph on graph paper
using the student's data. Note: You will have to manipulate the data in order to achieve a
linear function.
2b) Graphically determine the index of refraction of the semi-circular glass prism, rounding your
answer to the nearest hundredth.
Use the following information to answer the next two questions.
A laser is directed at a prism made of zircon (n = 1.92) at an incident angle of 35.0°, as shown in
the diagram.
3a) Determine the critical angle of zircon.
35.0°
70°
55
55°
3b) Determine the angle of refraction when the laser beam leaves the prism.
Applications and Investigations in Earth Science (9th Edition)
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