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Interpretation:
The Dieterici equation of state for one mole of gas is
Concept introduction:
The
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Chapter 1 Solutions
Physical Chemistry
- The Berthelot equation of state for one mole of gas is p=RTV-b-aTV2 Where a and b are constants determined experimentally. For NH3g, a = 741.6 atm. L2. K and b = 0.0139 L. Calculate p when V=22.41L and T = 273.15K. How much does the pressure vary from p as predicted by the ideal gas law?arrow_forwardWhat 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_forward
- The gas in the discharge cell of a laser contains (in mole percent) 11% CO2, 5.3% N2, and 84% He. (a) What is the molar mass of this mixture? (b) Calculate the density of this gas mixture at 32C and 758 mm Hg. (c) What is the ratio of the density of this gas to that of air (MM=29.0g/mol)at the same conditions?arrow_forwardButane gas, C4H10, is sold to campers as bottled fuel. Its density at 25C and 1.00 atm is 2.38 g/L. What volume of butane gas at 25C and 1.00 atm is required to heat one gallon of water (d=1.00g/mL) from 25C to 98C ? The reaction for the combustion of butane (H f =125.6kJ/mol) is C4H10(g)+132 O2(g)4CO2(g)+5H2O(g)arrow_forwardWhat properties of a nonideal gas do the Vander Waals constants represent?arrow_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_forwardThe value of pV is plotted against p for two gases, an ideal gas and a non-ideal gas, where p is the pressure and V is the volume of the gas. Which of the following gases shows the greatest deviation from ideality? ammonia, ethene, methane or nitrogenarrow_forward
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