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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

An ideal gas occupies 12 liters at 20C degree and 1 atm. It temperature is now taised to 100C and it's pressure increases to 2.82 atm. The new volume in liters is: (a) 1.5 (b) 13.8 (c) 5.4 (d) 25.7
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 T₁ = 8.6°C. The cylinder is heated at a constant pressure of 1.00 atm, and it expands to five times its original volume. (a) Calculate the new temperature T of the gas (in K). 1409.75 ✓ K (b) Calculate the work done (in kJ) on the gas during the expansion.
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 Ti = 8.0°C. The cylinder is heated at a constant pressure of 1.00 atm, and it expands to eight times its original volume. (a) Calculate the new temperature Tf of the gas (in K). K (b) Calculate the work done (in kJ) on the gas during the expansion. kJ
An ideal gas is enclosed in a cylinder with a movable piston on top of it. The piston has a mass of 8,000 g and an area of 5.00 cm2 and is free to slide up and down, keeping the pressure of the gas constant. (a) How much work is done on the gas as the temperature of 0.105 mol of the gas is raised from 30.0°C to 325°C?? J(b) What does the sign of your answer to part (a) indicate? The surroundings do positive work on the gas. There is no work done, by the gas or the surroundings. The gas does positive work on its surroundings.
A cylinder contains 0.300 mol of an ideal gas. The cylinder has a movable piston on top, which is free to slide up and down, and which keeps the gas pressure constant. The piston's mass is 8,000 g and its circular contact area with the gas is 5.00 cm2. (a) Find the work (in J) done on the gas as the temperature of the gas is raised from 25.0°C to 310°C. J (b) What does the sign of your answer to part (a) indicate? The gas does positive work on its surroundings.The surroundings do positive work on the gas. There is no work done, by the gas or the surroundings.
Q.44 A gas is enclosed in a cylinder of volume Vo fitted with piston of cross-sectional area A and mass m. Atmospheric pressure is Po. Adiabatic exponent of gas is y. The piston is slightly depressed and released. (A) Time period of oscillation of piston if the process is isothermal is 2π (B) Time period of oscillation of piston if the process is adiabatic is 2π (C) Time period of oscillation of piston if the process is isothermal is 2π (D) Time period of oscillation of piston if the process is adiabatic is 2π mVo VA²Po ymVo A²Po mVo AP mVo √ YA²Po Po
A 1 mol sample of a diatomic ideal gas (γ=1.4) expands slowly and adiabatically from a pressure of 18 atm and a volume of 3 L to a final volume of 18 L. What is the final temprature (in K) of the gas? ( Answer no decimal )
(a) A rigid tank contains 1.50 moles of carbon dioxide, which can be treated as an ideal gas, at a pressure of 22.7 atm. While the tank and gas maintain a constant volume and temperature, a number of moles are removed from the tank, reducing the pressure to 5.10 atm. How many moles are removed? mol (b) What If? In a separate experiment beginning from the same initial conditions, including a temperature T, of 25.0°C, half the number of moles found in part (a) are withdrawn while the temperature is allowed to vary and the pressure undergoes the same change from 22.7 atm to 5.10 atm. What is the final temperature (in °C) of the gas? °C
An ideal gas is enclosed in a cylinder with a movable piston on top of it. The piston has a mass of 8,000 g and an area of 5.00 cm2 and is free to slide up and down, keeping the pressure of the gas constant. (a) How much work is done on the gas as the temperature of 0.255 mol of the gas is raised from 15.0°C to 285°C? J(b) What does the sign of your answer to part (a) indicate? The gas does positive work on its surroundings.The surroundings do positive work on the gas. There is no work done, by the gas or the surroundings.
An ideal monatomic gas expands isothermally from 0.570 m³ to 1.25 m³ at a constant temperature of 800 K. If the initial pressure is 1.18 x 105 Pa find the following. (a) the work done on the gas (b) the thermal energy transfer Q J (c) the change in the internal energy J