Kindly i need solution for this question asap with clear font 3. Find the coefficient of thermal expansion a and the isothermalcompressibility k from each of the following p-v-T relations:RT(a) Ideal gas equation, p =%3DRTe-/RTv(b) Dieterici equation, p =U-2bRTe-aRTV In2b|3(c) Saha-Bose equation, pIn the above equations R is the gas constant and a and b are specific constants.Verify that for large values of T and v all the expressions for a and K go over intothe corresponding expressions for an ideal gas.

Ans: We have isothermal compressibility K=-1V∂V∂Pa For Ideal Gas Given that ideal gas…

3. Find the coefficient of thermal expansion a and the isothermal compressibility k from each of the following p-v-T relations: RT (a) Ideal gas equation, p = RT (b) Dieterici equation, p = e a/RTU %3D RT (c) Saha-Bose equation, p: e-a/RTV In 2b - 2b In the above equations R is the gas constant and a and b are specific constants. Verify that for large values of T and v all the expressions for a and K go over into the corresponding expressions for an ideal gas.

3. Find the coefficient of thermal expansion a and the isothermal compressibility k from each of the following p-v-T relations: RT (a) Ideal gas equation, p = RT (b) Dieterici equation, p = e a/RTU %3D RT (c) Saha-Bose equation, p: e-a/RTV In 2b - 2b In the above equations R is the gas constant and a and b are specific constants. Verify that for large values of T and v all the expressions for a and K go over into the corresponding expressions for an ideal gas.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 66P

See similar textbooks

Similar questions

Under what circumstances would you expect a gas to behave significantly differently than predicted by the ideal gas law?
(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 1.50106 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=3.049105 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? `
Most automobiles have a coolant reservoir to catch radiator fluid than may overflow when 1he engine is hot. A radiator is made of copper and is filled to its 16.0L capacity when at 10.0C. What volume of radiator fluid will overflow when the radiator and fluid reach their 95.0C operating temperature, given that the fluid’s volume coefficient of expansion is =400106/C ? Note that this coefficient is approximate, because most car radiators have operating temperatures of greater than 95.0C.
Which of the assumptions below is not made in the kinetic theory of gases? (a) The number of molecules is very large. (b) The molecules obey Newtons laws of motion. (c) The forces between molecules are long range. (d) The gas is a pure substance. (e) The average separation between molecules is large compared to their dimensions. (f) of (his account are correct statements necessary for a clear and complete explanation? (ii) Which are correct statements that are not necessary to account for the higher thermometer reading? (iii) Which are incorrect statements?
The pressure gauge on a cylinder of gas registers the gauge pressure, which is the difference between the interior pressure and the exterior pressure P0. Lets call the gauge pressure Pg. When the cylinder is full, the mass of the gas in it is mi at a gauge pressure of Pgi. Assuming the temperature of the cylinder remains constant, show that the mass of the gas remaining in the cylinder when the pressure reading is Pgf is given by mf=mi(Pgf+P0Pgi+P0)
An ideal gas is maintained at constant pressure. If the temperature of the gas is increased from 200 K to 600 K, what happens to the rms speed of the molecules? (a) It increases by a factor of 3. (b) It remains the same. (c) It is one-third the original speed. (d) It is 3 times the original speed. (e) It increases by a factor of 6.
A cylinder with a piston contains a sample of a thin gas. The kind of gas and the sample size can be changed. The cylinder can be placed in different constant-temperature baths, and the piston can be held in different positions. Rank the following cases according to the pressure of the gas from the highest to the lowest, displaying any cases of equality, (a) A 0.002-mol sample of oxygen is held at .300 K in a 100-cm3 container. (b) A 0.002-mol sample of oxygen is held at 600 K in a 200-cm3 container, (c) A 0.002-mol sample of oxygen is held at 600 K in a 300-cm3 container, (d) A 0.004-mol sample of helium is held at .300 K in a 200-cm3 container, (e) A 0.004-mol sample of helium is held at 250 K in a 200-cm3 container.
Because humidity depends only on water's vapor pressure and temperature, are the saturation vapor densities listed in Table 13.5 valid in an atmosphere of helium at a pressure of 1.01105N/m2 , rather than air? Are those values affected by altitude on Earth?
Gas is contained in an 8.00-L vessel al a temperature of 20.0C and a pressure of 9.00 atm. (a) Determine the number of moles of gas in the vessel. (b) How many molecules are in the vessel?
One way to cool a gas is to let it expand. When a certain gas under a pressure of 5.00 106 Ha at 25.0C is allowed to expand to 3.00 times its original volume, its final pressure is 1.07 106 Pa. (a) What is the initial temperature of the gas in Kelvin? (b) What is the final temperature of the system? (See Section 10.4.)