Ideal gas is expanded keeping (a) P V 2=const, (b) P
2V =const. Do these processes...
Ideal gas is expanded keeping (a) P V 2=const, (b) P
2V =const. Do these processes lead to temperature
increase or to temperature decrease? Find the specific heat
capacities for the gas during these processes.
Which of these increases the average kinetic energy of the molecules in an ideal gas? (a) Reducing the volume, keeping P and N constant (b) Increasing the volume, keeping P and N constant (c) Reducing the volume, keeping T and N constant (d) Increasing the pressure, keeping T and V constant (e) Increasing N, keeping V and T constant
The ideal gas law can be stated as P V = nRT where P = pressure
in Pascals (Pa) V = volume in cubic meters (m3 ) n = number of
moles in moles (mol) R = gas constant = 8.3145m3 Pa / ( K · mol ) T
= temperature in Kelvin (K). Using MATLAB or Octave, Write a script
that prompts the user for the pressure, the volume, and the
temperature; storing each in a variable. The script...
One mole of an ideal gas in an initial state P = 10atm, V = 5L,
is taken reversibly in aclockwise direction around a circular path
given by (V − 10)^2 + (P − 10)^2 = 25. Computethe amount of work
done by the gas and the change in internal energy.
If 6.00 moles of a monatomic ideal gas at a temperature of 260 K
are expanded isothermally from a volume of 1.07 L to a volume of
4.61 L .
Calculate the work done by the gas.
Calculate the heat flow into or out of the gas.
If the number of moles is doubled, by what factors do your
answers to parts A and B change?
Use the ideal gas law to complete the table:
P
V
n
T
1.06 atm
1.25 L
0.105 mol
___
115 torr
___
0.249 mol
309 K
___
28.2 mL
1.81×10−3 mol
26.0 ∘C
0.565 atm
0.440 L
___
257 K
For an ideal gas, consider the molar volume Vm = (V/n) =
Vm(T,P). In other words, the molar volume is a function of
temperature and pressure.
a) Write the total differential dVm.
b) Show that dVm is exact.
c) Derive an expression for the differential work dw performed
in a reversible process by expansion/compression of the gas.
d) Show that dw is inexact.
e) What is the thermodynamic significance of having an exact
differential?
Four moles of a monoatomic ideal gas in a cylinder at 27 degrees
Celsius is expanded at constant pressure equal to 1 atm until its
volume is doubled.
a) What is the change in internal energy?
b) How much work was done by the gas in the process?
c) How much heat was transferred to the gas?
Consider an ideal gas at a given state expanded in two different
ways to a fixed final volume. In the first case, the gas is
expanded at constant pressure, and in the second case at constant
temperature. Sketch each process on a P-v diagram. For which case
is the work done greater?
10.0 L of an ideal gas at 0°C and 10.0 bar are expanded to a
final pressure of 1.00 bar CV = 3/2 R. Calculate deltaU,
deltaH, q, w, and deltaS if the process is:
a) reversible and isothermal
b) irreversible and adiabatic