Exam 13: Gravitation

Molar heat capacities: A monatomic ideal gas undergoes an isothermal expansion at 300 K, as the volume increased from to The final pressure is The ideal gas constant is R = 8.314 J/mol ∙ K. The heat transfer to the gas is closest to

First law of thermodynamics: An ideal gas with γ = 1.30 occupies 7.0 L at 300 K and 200 kPa pressure. It is compressed adiabatically to 1/7 of its original volume, then cooled at constant volume to 300 K, and finally allowed to expand isothermally to 7.0 L. How much work does the gas do during this process? The ideal gas constant is R = 8.314 J/mol ∙ K = 0.0821 L ∙ atm/mol ∙ K.

First law of thermodynamics: During an adiabatic process, 20 moles of a monatomic ideal gas undergo a temperature change from 450 K to 320 K starting from an initial pressure is 400 kPa. The ideal gas constant is R = 8.314 J/mol ∙ K. (a) What is the final volume of the gas? (b) How much heat does the gas exchange during this process? (c) What is the change in the internal (thermal) energy of the gas during this process?

First law of thermodynamics: In a thermodynamic process involving 7.8 moles of an ideal gas, the gas is at an initial temperature of 24°C and has an initial volume of 0.040 m³. The gas expands adiabatically to a volume of 0.080 m³. For this gas, C_V = 12.27 J/mol · K, and the ideal gas constant is R = 8.314 J/mol ∙ K. Calculate the work done by the gas during this expansion.

First law of thermodynamics: In an isochoric process, the internal (thermal) energy of an ideal gas decreases by 50 J. How much work does the gas do during this process?

First law of thermodynamics: The pV diagram shown is for 7.50 moles of an ideal diatomic gas taken through a cycle from a to b to c. The ideal gas constant is R = 8.314 J/mol ∙ K. (a) What is the highest temperature reached by the gas during the cycle? (b) What net work does the gas do during the cycle? (c) How much heat is exchanged with the gas during part bc of the cycle? Does it enter or leave the gas? (d) What is the change in the internal (thermal) energy of the gas during part bc of the cycle? (e) What is the change in the internal (thermal) energy of the gas during the entire cycle?

First law of thermodynamics: An ideal gas initially at 300 K and occupying a volume of 20 L is adiabatically compressed. If its final temperature is 400 K and γ = 1.30, what is its final volume?

Types of thermodynamic processes: The process shown in the T-V diagram in the figure is an

First law of thermodynamics: A system has a heat source supplying heat to an ideal gas at a rate of 187.0 W and the gas is doing work at a rate of 130.9 W. At what rate is the internal (thermal) energy of the gas changing?

First law of thermodynamics: When a fixed amount of ideal gas goes through an adiabatic expansion,

First law of thermodynamics: When a fixed amount of ideal gas goes through an isothermal expansion,

Molar heat capacities: The temperature of an ideal gas in a sealed 0.40- rigid container is reduced from 350 K to The final pressure of the gas is The molar heat capacity at constant volume of the gas is 28.0 J/mol · K. The heat absorbed by the gas is closest to

First law of thermodynamics: An ideal gas increases in temperature from 22°C to 42°C by two different processes. In one process, the temperature increases at constant volume, and in the other process the temperature increases at constant pressure. Which of the following statements about this gas are correct? (There may be more than one correct choice.)

Types of thermodynamic processes: When a gas undergoes an isothermal process, there is

First law of thermodynamics: During an isothermal process, 5.0 J of heat is removed from an ideal gas. How much work does the gas do during this process?

Molar heat capacities: The temperature of an ideal gas in a sealed 0.40 container is reduced from 400 K to The final pressure of the gas is The molar heat capacity at constant volume of the gas is 28.0 J/mol · K. The work done by the gas is closest to

Work: How much work is done by 3.00 mol of ideal gas when it triples its volume at a constant temperature of 127°C? The ideal gas constant is R = 8.314 J/mol ∙ K.

Type of thermodynamic processes: The figure shows a pV diagram for 8.3 g of nitrogen gas (N₂) in a sealed container. The temperature T₁ of the gas in state 1 is 79°C. What are (a) the pressure p₁ of the gas in state 1 and (b) the temperature T₂ of the gas in state 2? The ideal gas constant is R = 8.314 J/mol ∙ K = 0.0821 L ∙ atm/mol ∙ K, and the ATOMIC weight of nitrogen is 14 g/mol.

Molar heat capacities: An ideal monatomic gas cools from 455.0 K to 405.0 K at constant volume as 831 J of energy is removed from it. How many moles of gas are in the sample? The ideal gas constant is R = 8.314 J/mol ∙ K.

Molar heat capacities: An expansion process on an ideal diatomic gas has a linear path between the initial and final states on a pV diagram. The initial pressure is the initial volume is and the initial temperature is The final pressure is and the final temperature is The change in the internal (thermal) energy of the gas is closest to