A sample of gas expands from an initial pressure and volume of 14 Pa and 1.2 m³ to a final volume of 2.4 m³. During the expansion, the pressure and volume are related by the equation p=av², where a = 10 N/m³. Determine the work done by the gas during this expansion. Number Units
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- 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?Find the numeric value of the work done on the gas in the following figures.The volume and pressure of a gas are 8.00 m³ and 2.1 atm respectively. (a) If this gas expands to three times its initial volume while the pressure is constant, determine the work done on the gas. (b) On the other hand, if this gas is compressed to one-third its initial volume while the pressure is constant, determine the work done on the gas. Additional Materials MReading
- A mixture of xenon and oxygen gas is compressed from a volume of 87.0 L to a volume of 81.0 L, while the pressure is held constant at 84.0 atm. Calculate the work done on the gas mixture. Be sure your answer has the correct sign (positive or negative) and the correct number of significant digits. KJ x10 XHow much work is done on the gas in the process as shown, in Joules? Vf = 94 cm3. (1.00 cm3 = 1.00×10-6 m3, 1.00 kPa = 1.00×103 Pa.) 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.Gas in a container is at a pressure of 1.9 atm and a volume of 6.0 m3. (a) What is the work done on the gas if it expands at constant pressure to twice its initial volume? J(b) What is the work done on the gas if it is compressed at constant pressure to one-quarter of its initial volume? J
- The pressure P of an ideal gas varies with volume V as P = kV where k is a constant. The volume of n moles of the gas is increased from V to mV.. Find the work done and the change in internal energy.A rubberized sphere contains carbon dioxide. If the initial radius of the sphere is 15cm: a. How much work is done if the carbon dioxide-filled sphere expanded to five times its original volume against the pressure at STP? Express your answer in L atm. b. Upon the expansion of the sphere, what is the kinetic energy of a single carbon dioxide molecule if it travels across the diameter and covers it in 30ms? Assume that the sphere contains one mole of carbon dioxide. Express your answer in J. c. How much power can all the molecules in this sphere generate after 30s? Assume that the sphere contains one mole of carbon dioxide and that all molecules have the same kinetic energy. Express your answer in W. (Use the KE obtained from the previous required)A gas is taken through the cyclical process shown in the figure below. If each unit on the horizontal axis equals 2.75 m3 and each unit on the vertical axis equals 2.75 105 Pa. Determine the net work done by the gas.
- A tank with a pressure of 2.5 atm and a volume of 12 m³ is compressed at constant pressure to 1/4 of its initial volume. Note: 1atm= 1.01 × 105 Pa. What is the work done by the gasGas in a container is at a pressure of 1.8 atm and a volume of 6.0 m³. (a) What is the work done on the gas if it expands at constant pressure to twice its initial volume? X Use the expression relating the pressure and change in volume to the work done. J (b) What is the work done on the gas if it is compressed at constant pressure to one-quarter of its initial volume?True or False. The sign of the work done is negative if V<Vo. A P-V diagram consists of a graph in which the pressure of gas is plotted on a vertical axis for different values of volume plotted on the horizontal axis. If the volume increases, ΔV is positive and work W is negative. Isochoric means the pressure of the system remains constant. The absolute pressure of a gas depends on the volume of a gas.