A cylinder with a moveable piston on top, free to move up and down, contains one mole of an ideal gas initially at a temperature of T, = 6.0°C. The cylinder is heated at a constant pressure of 1.00 atm, and it expands to six times its original volume. (a) Calculate the new temperature T, of the gas (in K). 1674.9 (b) Calculate the work done (in kJ) on the gas during the expansion. 11 How is the work related to pressure and volume change? From the ideal gas law, how is the volume related to temperature, pressure, and number of moles? Can you use the ideal gas law to write the work expression in terms of known quantities? Be careful with signs and with unit conversions. kJ

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A cylinder with a moveable piston on top, free to move up and down, contains one mole of an ideal gas initially at a temperature of T; = 6.0°C. The cylinder is heated at a constant pressure of
1.00 atm, and it expands to six times its original volume.
(a)
Calculate the new temperature T, of the gas (in K).
1674.9
K
(b) Calculate the work done (in kJ) on the gas during the expansion.
11
How is the work related to pressure and volume change? From the ideal gas law, how is the volume related to temperature, pressure, and number of moles? Can you use the ideal gas law to
write the work expression in terms of known quantities? Be careful with signs and with unit conversions. kJ
Transcribed Image Text:A cylinder with a moveable piston on top, free to move up and down, contains one mole of an ideal gas initially at a temperature of T; = 6.0°C. The cylinder is heated at a constant pressure of 1.00 atm, and it expands to six times its original volume. (a) Calculate the new temperature T, of the gas (in K). 1674.9 K (b) Calculate the work done (in kJ) on the gas during the expansion. 11 How is the work related to pressure and volume change? From the ideal gas law, how is the volume related to temperature, pressure, and number of moles? Can you use the ideal gas law to write the work expression in terms of known quantities? Be careful with signs and with unit conversions. kJ
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