Find the numeric value of the work done on the gas in the following figure HINT (a) (b) P (105Pa) 9.00 6.00 3.00 J P (105Pa) 9.00 6.00 3.00 3.00 6.00 9.00 J 3.00 6.00 9.00 V (m³) V (m³)
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- One mole of an ideal gas does 1700 J of work as it expands isothermally to a final pressure of 1.00 × 105 Pa and volume of 0.039 m3. What was the initial volume of the gas, in cubic meters?Consider a pressure versus volume graph, where the different curves represent different processes done on a gas. Starting at the origin to point 1, the pressure and volume are increased to 2854 Pa and 3.91 m³, respectively. From 1 to 2, the gas expands at constant pressure to a volume of 6.91 m³. From 2 3 to 3, the pressure rises to 4328 Pa. Finally, from 3 to 4, the gas expands again to 11.70 m³. Rank the curves from the most positive to the most negative amount of work done on the gas. 2 Most positive work Volume (m³) Pressure (Pa)The ideal gas law relates the pressure P, volume V, and temperature T of an ideal gas: PV = nRT where n is the number of moles and R = 8.3145 J/(K mol). Plots of pressure versus volume at constant temperature are called isotherms. Plot the isotherms for one mole of an ideal gas for volume ranging from 1 to 10 m', at tempera- tures of T = 100, 200, 300, and 400 K (four curves in one plot). Label the axes and display a legend. The units for pressure are Pa. n=1
- When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV14 cubic centimeters and the pressure is 79 kPa and is decreasing at a rate of 7 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? C where C is a constant. Suppose that at a certain instant the volume is 410 cm3 min (Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals.The formula for work in thermodynamics is given by PV=W. Suppose that at any pressure, P=h(V+Vo-1) where V is the volume and Vo is the initial volume. h and Vo are constants. If work is to be maximized, what is the correct expression of maximum work in terms of constants?The pressure of 1 mole of an ideal gas is increasing at a rate of 0.06 kPa/s and the temperature is increasing at a rate of 0.19 K/s. Use the equation PV = 8.31T to find the rate of change of the volume (in L/s) when the pressure is 26 kPa and the temperature is 255 K. (Round your answer to two decimal places.) L/s
- A quantity of gas in a piston cylinder has a volume of 0.5m^3 and a pressure of 0.2 KPa. The piston compresses the gas to 1500cm ^3 in an isothermal process. What is the final pressure in gas in Pa?n = 3.6 moles of an ideal gas are pumped into a chamber of volume V = 0.099 m3. The initial pressure of the gas is 1 atm. What is the initial temperature (in K) of the gas? The pressure of the gas is increased to 10 atm. Now what is the temperature (in K) of the gas?1.50 moles of a monatomic ideal gas goes isothermally from state 1 to state 2. P1 = 2.8×105 Pa, V1 = 88 m3, and P2 = 6.6×105 Pa. What is the volume in state 2, in m3? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
- XEx. 27: Find the density of nitrogen at N.T.P. (Given : M.W. of nitrogen = 28) P= 1.013 x 105 /m² R = 8.314 J/mole KConsider a pressure versus volume graph, where the different curves represent different processes done on a gas. Starting at the origin to point 1, the pressure and volume are increased to 2.500 x 10° Pa and 4.08 m³, respectively. From 1 to 2, the gas expands at constant pressure to a volume of 7.08 m³. 3 From 2 to 3, the pressure rises to 4082 Pa. Finally, from 3 to 4, the gas expands again to 10.51 m³. Rank the curves from the most positive to the most negative amount of work done on the gas. 1 Most positive work 3-4 Volume (m³) 0-1 1-2 2–3 Most negative work Answer Bank Incorrect What is the total work done on the gas? Wo-4 J Incorrect Pressure (Pa)It is observed that the density of an ideal gas increases by 10 percent when compressed isothermally from 10 atm to 11 atm. Determine the percent increase in the density of the gas if it is compressed isothermally from 997 atm to 1008 atm. The increase in the density of the gas is _______ %.