Consider a cylinder that holds 0.50 moles of helium gas at a pressure of 3.0 atm. Calculate the rise in temperature if 75 J of heat energy is absorbed by the gas during the isochoric process.

Consider a system containing a helium gas that undergoes the process A→B→C as described in the figure below. Determine the heat needed or removed for i) process A→B and ii) process B→C.

2.0 g of nitrogen gas at a pressure of 5.0 atm is filled in a container. Determine the quantity of heat that should be supplied to raise the temperature of the gas by 120°C keeping the pressure constant.

Consider a sealed container with a movable piston that contains 0.10 moles of carbon dioxide gas at an initial pressure of 4.0 atm and an initial temperature of 300 K. By maintaining a constant pressure, carbon dioxide is expanded until its volume doubles. How much energy must be added to the system to cause this expansion?

A gas is contained in a piston and cylinder assembly at an initial pressure of 2.0 atm and a volume of 500 mL. The gas undergoes an isochoric cooling until its temperature is reduced to half of its initial value. Determine the final pressure of the gas.

If 0.0220 moles of argon are heated under conditions of constant volume and constant pressure from 15.0°C to 82.0°C, determine the change in internal energy during each process. Compare and explain the results. Hint: C_v = 12.47 J/mol•K, γ = 1.67.

If 0.0130 moles of neon are heated under conditions of constant volume and constant pressure from 17.0C to 80.0°C, the heat required is different. i) Why are the two values different? ii) Which process requires more heat? ii) How does this process use the extra heat?

A metallic container with a movable piston is filled with 0.0250 moles of argon at 20.0°C. If the temperature is increased to 70.0°C at constant pressure, how much heat is used? Sketch a PV diagram for the process. Hint: Cv = 12.47 J/mol•K, γ = 1.67.

A metallic container with a movable piston is filled with 0.0250 moles of argon at 18.0°C. If the temperature is increased to 78.0°C at constant volume, how much heat is used? Sketch a PV diagram for the process. Hint: C_v = 12.47 J/mol•K, γ = 1.67.