Thermodynamics, Statistical Thermodynamics, & Kinetics
3rd Edition
ISBN: 9780321766182
Author: Thomas Engel, Philip Reid
Publisher: Prentice Hall
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Chapter 1, Problem 1.23NP
Assume that air has a mean molar mass of
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The van der Waals equation, nRT = [P + (n/V)2a)](v-nb) incorporates corrections to the ideal gas law in order to account for the properties of real gases. One of the corrections accounts for
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the finite volume of molecules.
the possibility of chemical reaction between molecules.
In an air-conditioned room at 19.0 ∘C∘C, a spherical balloon had the diameter of 50.0 cmcm. When taken outside on a hot summer day, the balloon expanded to 51.0 cmcm in diameter. What was the temperature outside? Assume that the balloon is a perfect sphere and that the pressure and number of moles of air molecules remains the same.
Express your answer with the appropriate units.
To prevent tank rupture during deep-space travel, an engineering team is studying the effect of temperature on gases confined to small volumes. What is the pressure of 2.00 molmol of gas DD measured at 251 ∘C∘C in a 1.75-LL container assuming ideal behavior?
Chapter 1 Solutions
Thermodynamics, Statistical Thermodynamics, & Kinetics
Ch. 1 - Real walls are never totally adiabatic. Use your...Ch. 1 - The parameter a in the van der Waals equation is...Ch. 1 - Give an example based on molecule—molecule...Ch. 1 - Prob. 1.4CPCh. 1 - Prob. 1.5CPCh. 1 - The location of the boundary between the system...Ch. 1 - Prob. 1.7CPCh. 1 - At sufficiently high temperatures, the van der...Ch. 1 - Prob. 1.9CPCh. 1 - Prob. 1.10CP
Ch. 1 - Prob. 1.11CPCh. 1 - Prob. 1.12CPCh. 1 - Prob. 1.13CPCh. 1 - The mass of a He atom is less than that of an Ar...Ch. 1 - Prob. 1.15CPCh. 1 - Prob. 1.1NPCh. 1 - A compressed cylinder of gas contains 2.74103g of...Ch. 1 - Calculate the pressure exerted by Ar for a molar...Ch. 1 - A sample of propane C3H8 is placed in a closed...Ch. 1 - A gas sample is known to be a mixture of ethane...Ch. 1 - One liter of fully oxygenated blood can carry 0.18...Ch. 1 - Yeast and other organisms can convert glucose...Ch. 1 - A vessel contains 1.15 g liq H2O in equilibrium...Ch. 1 - Consider a 31.0 L sample of moist air at 60.C and...Ch. 1 - Prob. 1.10NPCh. 1 - Prob. 1.11NPCh. 1 - A rigid vessel of volume 0.400m3 containing H2 at...Ch. 1 - A mixture of oxygen and hydrogen is analyzed by...Ch. 1 - An athlete at high performance inhales 3.75L of...Ch. 1 - Devise a temperature scale, abbreviated G, for...Ch. 1 - Aerobic cells metabolize glucose in the...Ch. 1 - Prob. 1.17NPCh. 1 - A mixture of 2.10103g of O2, 3.88103mol of N2, and...Ch. 1 - Prob. 1.19NPCh. 1 - Prob. 1.20NPCh. 1 - An initial step in the biosynthesis of glucose...Ch. 1 - Prob. 1.22NPCh. 1 - Assume that air has a mean molar mass of 28.9gmol1...Ch. 1 - When Julius Caesar expired, his last exhalation...Ch. 1 - Calculate the number of molecules per m3 in an...Ch. 1 - Prob. 1.26NPCh. 1 - A mixture of H2 and NH3 has a volume of 139.0cm3...Ch. 1 - A sealed flask with a capacity of 1.22dm3 contains...Ch. 1 - A balloon filled with 11.50 L of Ar at 18.7C and 1...Ch. 1 - Carbon monoxide competes with oxygen for binding...Ch. 1 - The total pressure of a mixture of oxygen and...Ch. 1 - Suppose that you measured the product PV of 1 mol...Ch. 1 - Liquid N2 has a density of 875.4kgm3 at its normal...Ch. 1 - Calculate the volume of all gases evolved by the...Ch. 1 - Prob. 1.35NPCh. 1 - A glass bulb of volume 0.198 L contains 0.457 g of...Ch. 1 - Prob. 1.37NPCh. 1 - Prob. 1.38NPCh. 1 - Many processes such as the fabrication of...Ch. 1 - Rewrite the van der Waals equation using the molar...
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- g P1.36 A cylinder of compressed gas contains 3.21 × 10³ of N₂ gas at a pressure of 3.75 X 107 Pa and a temperature of 15.0°C. What volume of gas has been released into the atmosphere if the final pressure in the cylinder is 2.35 × 105 Pa? Assume ideal behavior and that the gas temperature is unchanged.arrow_forwardA homeowner uses 4.00 × 103 m3 of natural gas in a year to heat a home. Assume that natural gas is all methane, CH4, and that methane is a perfect gas for the conditions of this problem, which are 1.00 atm and 20 °C. What is the mass of gas used?arrow_forward(a) A rigid tank contains 1.60 moles of helium, which can be treated as an ideal gas, at a pressure of 28.0 atm. While the tank and gas maintain a constant volume and temperature, a number of moles are removed from the tank, reducing the pressure to 5.00 atm. How many moles are removed? mol (b) What If? In a separate experiment beginning from the same initial conditions, including a temperature T, of 25.0°C, half the number of moles found in part (a) are withdrawn while the temperature is allowed to vary and the pressure undergoes the same change from 28.0 atm to 5.00 atm. What is the final temperature (in °C) of the gas? °Carrow_forward
- To prevent tank rupture during deep-space travel, an engineering team is studying the effect of temperature on gases confined to small volumes. What is the pressure of 2.00 molmol of gas DD measured at 251 ∘C∘C in a 1.75-LL container assuming real behavior?arrow_forwardA sample of propane (C3H8) is placed in a closed vessel together with an amount of O₂ that is 2.00 times the amount needed to completely oxidize the propane to CO2 and H₂O at constant temperature. Part A Calculate the mole fraction of each component in the resulting mixture after oxidation, assuming that the H₂O is present as a gas. Enter your answers numerically separated by commas. Use 3 significant figures.arrow_forward6. Given that the a and b constants of the van der Waals equation for acetylene gas are 4.516 bar L? mol2 and 0.0522 L mol·1, respectively. For this gas, ESTIMATE (i) the second and third virial coefficients at 300 K. (ii) at what temperature the second virial coefficient to be zero.arrow_forward
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