A gas undergoes a change of state described by the pV diagram shown in the figure below. 4.00- pi10² Pal 3.00 2.00- 1.00- 0 0 1.00 2.00 3.00 4.00 V(m¹) 1) Calculate the amount of work done on the gas. (Express your answer to three significant figures.)
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- A power plant has been proposed that would make use of the temperature gradient in the ocean. The system is to operate between 20.0C (surface water temperature) and 5.00C (water temperature at a depth of about 1 km). (a) What is the maximum efficiency of such a system? (b) If the useful power output of the plant is 75.0 MW, how much energy is absorbed per hour? (c) In view of your answer to part (a), do you think such a system is worthwhile (considering that there is no charge for fuel)?A triple-point cell such as the one shown in Figure 19.20 (page 571) is constructed and calibrated at sea level. It is then shipped to Denver, which is 1 mi above sea level. Can the researchers in the Denver lab use the triple-point cell just as in a laboratory at sea level, or will special adjustments be needed? Explain.A power plant has been proposed that would make use of the temperature gradient in the ocean. The system is to operate between 20.0C (surface water temperature) and 5.00C (water temperature at a depth of about 1 km). (a) What is the maximum efficiency of such a system? (b) If the useful power output of the plant is 75.0 MW, how much energy is absorbed per hour? (c) In view of your answer to part (a), do you think such a system is worthwhile (considering that there is no charge for fuel)?
- Suppose V₁=160 cm³ in (Figure 1). Figure p (atm) 3- T 2. 1 V₁2V, 1 of 1 V (cm') 3V₁ Part A How much work is done per cycle by a gas following the pV trajectory of the figure? Express your answer to two significant figures and include the appropriate units. ▸ View Available Hint(s) Wot Submit Value < Return to Assignment Units Provide Feedback ?1. 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 Latm. 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 certain heat engine operates on the PV diagram below. It contains 3.21mol of a monatomic ideal gas. p (Pa × 105) 2.0 a b 0.010 C ➤ V(m³) O 0.040 a. What temperature is the gas at state c? b. What temperature is the gas at state a? c. How much heat is added/removed from the gas over the path c-to-a? d. What is the pressure of state a? e. What is the temperature of state b? f. Find the work and heat for path a-to-b. g. Find the work and heat of path b-to-c. h. Find the efficiency of the engine. i. Would the engine be more, or less efficient if the gas were diatomic?
- Five moles of an ideal monatomic gas with an initial temperature of 132 °C expand and, in the process, absorb 1500 J of heat and do 2400 J of work. A. What is the final temperature of the gas? Express your answer using two significant figures.The heat engine shown in the figure uses 2.0 mol of a monatomic gas as the working substance. (Figure 1) Figure p (kPa) 600 400 200- 0 0 0.025 0.050 V (m³) Part A Determine T₁, T₂, and T₁. Enter your answers numerically separated by commas. Express your answer using two significant figures. T₁ T₂. T₂ = 600,1800,1200 K Submit Previous Answers ✓ Correct Part B Determine AEth. W. and Q for 1-2. Enter your answers numerically separated by commas. Express your answer using two significant figures. AEth. Ws. Q = 3.0x104.1.3x104.4.3x104 J Submit ✓ Correct ▾ Part C Previous Answers Determine AEth. W. and Q for 2-3. Enter your answers numerically separated by commas. Express your answer using two significant figures. AEth. Ws. Q= Submit ▾ Part D ΠΑΣΦ Request Answer I ? JA 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)
- Suppose we have 8.1 moles of an He gas. Its initial temperature is 27 C and pressure is 2105 N/m². Now we take the gas over the path, shown in figure A-> B -> C. We can safely assume the condition of an ideal monoatomic gas (Cp5/2R and C=3/2R). 1. What is the work of the gas when it expands from A -> B? 2. What is the variation of the internal energy from A->B? 3. What is the heat absorbed from A -> B 4. What is the heat absorbed from B->C if the process in that segment is adiabatic? p{N/m2) 2x105 1x 105 0 1.0 1.5 C 2.0 V(m3)The fpicture shows a pV diagram for an ideal gas in which its pressure tripled from a to b when 804 J of heat was put into the gas. a) How much work was done on or by the gas between aa and bb? Express your answer in joules. b) Fill in the sentence, do they increase, decrease, or stay the same. " The temperature of this gas ______ between a and b. When pressure increases, the temperature _____ provided that V and n are _______." c) By how much did the internal energy of the gas change between a and b? Express your answer in joules. Did it increase or decrease? d) What is the temperature of the gas at point b in terms of its temperature at a, Ta0.5 moles of cinnamaldehyde gas that has an initial volume of ten liters expands under the following conditions: 185°F and 800mmHg external pressure. a. How much work is done? Express your answer in L atm. b. Assuming that the container is cylindrical with a base radius of 10cm and can only expand vertically, how much kinetic energy does a single molecule possesses if it travels from base to base of the expanded cylinder in 10us? Express your answer in J