The Berthelot equation of state for one mole of gas is
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Chapter 1 Solutions
Physical Chemistry
- What is the value of FP for a sample of gas whose temperature is -33.0 C and volume is 0.0250 L? What temperature is required to change the volume to 66.9 cm3?arrow_forwardScottish physicist W. J. M. Rankine proposed an absolute temperature scale based on the Fahrenheit degree, now called degree Rankine abbreviated R and used by some engineering fields. If a degree Rankine is 5/9 of a degree Kelvin, what is the value of the ideal gas law constant in L. atm/mol. R?arrow_forwardWhich of the following quantities can be taken to be independent of temperature? independent of pressure? (a) H for a reaction (b) S for a reaction (c) G for a reaction (d) S for a substancearrow_forward
- What properties of a nonideal gas do the Vander Waals constants represent?arrow_forwardThe density of air 20 km above Earths surface is 92 g/m3. The pressure of the atmosphere is 42 mm Hg, and the temperature is 63 C. (a) What is the average molar mass of the atmosphere at this altitude? (b) If the atmosphere at this altitude consists of only O2 and N2, what is the mole fraction of each gas?arrow_forwardWhat is the partial pressure of CO2 at 468.2 K in a 25.0 L fuel combustion vessel if it contains 64.8 grams CO2, 82.1 g H2O, and 7.30 mol vaporized, yet uncombusted fuel?arrow_forward
- Consider the following reaction CS2(g) + 3O2(g) → CO2(g) + 2SO2(g) A mixture containing only CS2(g) and excess O2(g) at a total pressure of 100 kPa is placed in a sealed vessel. After the reaction is completed and the vessel is cooled to the initial temperature, the total pressure in the vessel drops to 80 kPa. What is the mole fraction of CO2(g) in the final mixture?arrow_forwardThe ideal gas law relates the amount of gas present to its pressure, volume, and temperature. The ideal gas law is typically written as ??=???PV=nRT where ?P is the pressure, ?V is the volume, ?n is the number of moles of gas, ?R is the ideal gas constant, and ?T is the temperature. Rearrange the equation to solve for ?. then.... At 256 K,256 K, 1.435 mol1.435 mol of an ideal gas occupy a volume of 10.83 L10.83 L and have a pressure of 2.785 atm.2.785 atm. What is the value of the ideal gas constant? R=arrow_forwardFor an ideal gas obeying the ideal gas law, P = nRT/V , where R is the gas constant. Write the total differential dz and evaluate the partial derivativesarrow_forward
- If the initial temperature of an ideal gas at 2.250 bar2.250 bar is 62.00 ∘C62.00 ∘C , what final temperature would cause the pressure to be reduced to 1.550 bar1.550 bar ?arrow_forwardThe Ideal Gas Law has more variables than Boyle's Law, and it contains the ideal gas constant, R. The ideal gas law is PV = nRT, where T is the absolute temperature and n is the number of moles of gas present in a system. a. In Boyle's Law, PV = k (a constant). Rearrange the Ideal Gas Law so that the constant R is similarly equal to the variables. b. If PV = k, and PV = nRT as well, express k in terms used in the Ideal Gas Law. c. If you took laboratory syringe setup outside in the summer or put it in the refrigerator, would Boyle's Law be able to adequately describe what would happen to the volume of the system? Why? d. There are other gas laws aside from Boyle's Law, including: Charles' Law (V/T = k), Gay-Lussac's Law (P/T = k), and Avogadro's Law (V/n = k). All these laws feature a "k" value (a constant). What is different about k in these laws compared to the constant R in the Ideal Gas Law?arrow_forwardRecent communication with the inhabitants of Neptune have revealed that they have a Celsius-type temperature scale, but based on the melting point (0 °N) and boiling point (100 °N) of their most common substance, hydrogen. Further communications have revealed that the Neptunians know about perfect gas behaviour and they find that in the limit of zero pressure, the value of pV is 28 dm3 atm at 0 °N and 40 dm3 atm at 100 °N. What is the value of the absolute zero of temperature on their temperature scale?arrow_forward
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