Thermodynamics (PHYS2140)
BSc, Physics - PHYS
Semester: First Semester
Level: 200
Year: 2017
THE UNIVERSITY OF BAMENDA FACULTY OF SCIENCE
DEPARTMENT OF PHYSICS
Continuous Assessment, 2016/2017
Thermodynamics: PHYS2140 Physics year 1 Duration: 2h
Exercise 1: (3marks)
The experiments have shown that, the isobaric thermal expansion coefficient and the isothermal
compression coefficient of one mole of a gas, is express in term of independent variables and ,
it is written by the equation:
and
where and b are constants. Find the
equation of state of this gas, relative to one mole.
Exercise 2: (5marks)
1. Represent the isotherms of van der Waals gases in the P-V diagram
2. Write the van der Waals state equation, give the conditions of idealizing this state equation
3. Expand the product in Taylor series with respect to in the form
.
Where A and B should be determined.
Exercise 3: (7mks)
A closed, rigid container of volume 0.5
is placed on a hot plate. Initially, the container holds a
two-phase mixture of saturated liquid water and saturated water vapour at
with a quality
of 0.5. After heating the pressure in the container is
!. (use data in the table)
1. Indicate the initial and final states on a " diagram
2. Determine the temperature, in #, at each state.
3. Determine the mass of vapour present at each state, in kg.
4. If heating continued, determine the pressure, in bar, when the container holds only saturated
vapour.
Exercise 4: (5marks)
The state equation of a real gas is written
$
%
"
, where & ' ()*+ ,-
. . ,- ,)*+ SI and ' ' / 0
12
)*+ The molar specific heat at constant volume is
equal to 3
2
whatever the temperature when its pressure tends to zero.
1. Write the elementary heat in term of 3
and + coefficients.
2. Establish the relations +
4
4
and
45
6
47
4
4
7
starting by the fact that 89 and
8: are total.
3. Calculate the value of 3
at temperature , when the molar volume of gas is held to be .
4. Calculate the variation ;3
, when the molar volume passes from
<
to '
<
at constant
temperature,
<
=0>liters, '00,-.
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