2) Consider an ideal gas undergoing an adiabatic reversible expansion from T₁ and V₁ to V₂ = 2V₁. Calculate AS in the process. The molar heat capacity at constant volume is Cv = (5/2)R a constant independent of T.

A piston reversibly and adiabatically contracts 3.88 moles of ideal gas to one-tenth of its original volume, thenexpands back to the original conditions. It does thisa total of five times. If the initial and final temperatures both are 27.5C, calculatea thetotal work andb thetotal U forthe overall process.

Many compressed gases come in large,heavy metal cylindersthat are so heavy that they need a special cart to move them around. An80.0-Ltank ofnitrogen gas pressurized to 172 atm is left in the sun and heats from its normal temperature of 20.0C to 140.0C. Determine a the final pressureinsidethe tank and b the work, heat, and U of the process. Assume that behavior is ideal and the heatcapacity of diatomic nitrogenis 21.0J/mol.K.

A 220-ft3 sample of gas at standard temperature and pressure is compressed into a cylinder, where it exerts pressure of 2000 psi. Calculate the work (in J) performed when this gas expands isothermally against an opposing pressure of 1.0 atm. (The amount of work that can be done is equivalent to the destructive force of about 1/4 lb of dynamite, giving you an idea of how potentially destructive compressed gas cylinders can be if improperly handled!)

at if Hess’s law were not true? What are some possible repercussions this would have?

Determine an expression for V/T p, n in terms of and . Does the sign on the expression make sense in terms of what you know happens to volume as temperature changes?

If the heat capacity varies withtemperature, abetter form ofequation 2.9 isto solve q=TiTfnCT-t A 50.0-g sample of white phosphorus is heated from 298 K to 350K. If its molar heat capacity is CT- = 56.990.1202T J/mol.K, how much heat is needed?

Use the data in Table 2.2 to determine Hp T for Ar at 0C and 1atm. Make any reasonable assumptions necessary.

In orbit about Earth, a weather balloonjettisons a weight andascends to a higher altitude. If the initial pressure inside the balloon is 0.0033 atm and it ascends to an altitude where the pressure is 0.00074 atm, by what fraction does the absolutetemperature change? Assumethat the balloon is filled with helium, a good approximation of an ideal gas, and that the change is adiabatic.

Show that = T/p for an ideal gas.