One mole of an ideal gas is warmed slowly so that it goes from the PV state (100 kPa, 1.0 m3) to (300 kPa, 3.0 m3) in such a way that the pressure of the gas is directly proportional to the volume. How much work is done on the gas in the process?

Consider the following figure. (The x axis is marked in increments of 2 m³.) P (Pa) 6 X 106 4 X 106 2 X 106 V (m³) (a) Determine the work done on a gas that expands from i to f as indicated in the figure. MJ Ⓡ (b) How much work is performed on the gas if it is compressed from f to i along the same path? MJ

A cylinder of volume 0.320 m3 contains 10.5 mol of neon gas at 17.4°C. Assume neon behaves as an ideal gas. (a) What is the pressure of the gas? Pa(b) Find the internal energy of the gas. J(c) Suppose the gas expands at constant pressure to a volume of 1.000 m3. How much work is done on the gas? J(d) What is the temperature of the gas at the new volume? K(e) Find the internal energy of the gas when its volume is 1.000 m3. J(f) Compute the change in the internal energy during the expansion. J(g) Compute ΔU − W. J(h) Must thermal energy be transferred to the gas during the constant pressure expansion or be taken away? This answer has not been graded yet. (i) Compute Q, the thermal energy transfer. J(j) What symbolic relationship between Q, ΔU, and W is suggested by the values obtained?

Two containers each hold 1 mole of an ideal gas at 1 atm. Container A holds a monatomic gas and container B holds a diatomic gas. The volume of each container is halved while the pressure is held constant. (Assume the initial volumes of containers A and B are equal.) (c) What is the ratio  QA QB  of the energy transferred to gases A and B?

You have an ideal gas that expands from 0.50 to 4.0 L at a constant temperature of 300K. The gas does 250 J of work. How many moles of gas are there?

A sealed cylinder has a piston and contains 8.90×103 cm3 of an ideal gas at a pressure of 7.50 atm. Heat is slowly introduced, and the gas isothermally expands to 1.70×104 cm3. How much work ? does the gas do on the piston?

One mole of an ideal gas does 3900 J of work as it expands isothermally to a final pressure of 1.00 atm and volume of 0.022 m3. What was the initial volume of the gas, in cubic meters?  What is the temperature of the gas, in kelvin?

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A sample of ideal gas in a thermally insulated container with a movable piston is initially in state A.  The gas is taken from state A to state B by an adiabatic process.  The dashed lines represent isotherms.  If W is the work done on the gas, Q is the energy transferred to the gas by heating, and  Delta U be the change in the internal energy of the gas during the process. a) is W greater than zero, zero, or less than zero? Explain briefly  b) is Q greater than zero, zero, or less than zero? Explain briefly. c) is  Delta U  greater than zero, zero, or less than zero? Explain briefly.