The temperature of a quantity of an ideal gas is
a. one measure of its ability to transfer thermal energy to another body.
b. proportional to the average molecular kinetic energy of the molecules.
c. proportional to the internal energy of the gas.
d. correctly described by all the statements above.
e. correctly described only by (a) and (b) above.
[Ques. 2] When we consider a thin horizontal layer of the atmosphere, of thickness dy, of area A, with pressure P on the bottom, with an average mass m per molecule, and nV molecules per unit volume, the magnitude of the difference of the pressure at the top and bottom of the layer is given by dP =
a. mgdy.
b. mgnVdy.
c. mgAdy.
d. mgnVAdy.
e. mgnVAPdy.
[Ques. 3] Which statement below is NOT an assumption made in the molecular model of an ideal gas?
a. The average separation between molecules is large compared with the dimensions of the molecules.
b. The molecules undergo inelastic collisions with one another.
c. The forces between molecules are short range.
d. The molecules obey Newton's laws of motion.
e. Any molecule can move in any direction with equal probability.
[Ques. 4] The internal energy of n moles of an ideal gas depends on
a. one state variable T.
b. two state variables T and V.
c. two state variables T and P.
d. three state variables T, P and V.
e. four variables R, T, P and V.
[Ques. 5] An ideal gas is allowed to expand adiabatically until its volume increases by 50. By approximately what factor is the pressure reduced? ( = 5/3.)
a. 1.5
b. 2.0
c. 2.5
d. 3.0
e. 3.5
[Ques. 6] During an adiabatic compression, a volume of air decreases to 1/4 its original size. Calculate its final pressure if its original pressure was 1 atm. (Assume the air behaves like an ideal gas with = 1.4.)
a. 7.0 atm
b. 5.6 atm
c. 3.5 atm
d. 2.2 atm
e. 0.14 atm
[Ques. 7] A container having a volume of 1.0 m3 holds 5.0 moles of helium gas at 50C. If the helium behaves like an ideal gas, the average kinetic energy per molecule is
a. 6.7 1020 J.
b. 1.0 1021 J.
c. 1.0 1020 J.
d. 6.7 1021 J.
e. 1.3 1020 J.
[Ques. 8] A container having a volume of 1.0 m3 holds 5.0 moles of helium gas at 50C. If the helium behaves like an ideal gas, the total energy of the system is
a. 2.0 104 J.
b. 2.5 104 J.
c. 1.7 103 J.
d. 1.5 103 J.
e. 4.0 104 J.
[Ques. 9] Suppose the ends of a 30-m-long steel beam are rigidly clamped at 0C to prevent expansion. The beam has a cross-sectional area of 30 cm2 . What force against the clamps does the beam exert when it is heated to 40C? (Steel = 1.1 105/C, Ysteel = 20 1010 N/m2).
[Ques. 10] At what Fahrenheit temperature are the Kelvin and Fahrenheit temperatures numerically equal?
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