A spherical tank of diameter 6 m is full of water. Set-up the integral for the work done in pumping all the content to a point 1m from the top of the tank. 6 9800 T (7-y)(6y-y²)²dy 6 9800 T (7-y)√6y-y²dy 0 9800 T + √² (7-y)√6y-y²dy .6 9800 T (y³ 13y² +42y)dy
Q: Consider the following figure. P( MPa) 10 8. 6. 2 V (m³) 2 4 6 8 10 12 (a) Determine the work done…
A: Work done = Area under the curve in (P-V) coordinates,Work done = A1+A2+A3 = 3*(12-3) +…
Q: Consider the following figure. P(MPa) 10 8 V (m³) 12 6 8 10 (a) Determine the work done on a fluid…
A: (a) The work done on the fluid that expands from i to f by the area under the curve with volume…
Q: How much work is done on the gas in the process as shown, in Joules? Vf = 94 cm3.
A: Given, Vf = 94 cm3 1.00 cm3 = 1.00×10-6 m3 1.00 kPa = 1.00×103 Pa Pressure = 200 kPa 1 Pa = 1N/m2…
Q: 0.04 m3 of gas at a pressure of 1482 KN/m2 is expanded isothermally unit volume is 0.09 m3,…
A: Given : Initial volume (Vi) = 0.04 m3 Pressure (P) = 1482 kN/m2 = 1482 x 103 N/m2 Final volume (Vf)…
Q: Gas in a container is at a pressure of 1.6 atm and a volume of 2.0 m3. (a) What is the work done on…
A: W=PVf-Vi=P2Vi-Vi=PVi=1.6 atm1.01×105 Pa1 atm2.0 m3=3.23×105 J
Q: Gas in a container expands at a constant pressure of 3 atm. Find the work done (in J) by the gas if…
A: Given Data: Pressure (P) = 3 atm = 3×101325 Pa =…
Q: How much work (in J) is required to expand the volume of a pump from 0.0 L to 1.5 L against an…
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Q: One mole of an ideal gas is contained in a cylinder with a movable piston. The initial pressure,…
A: Work done for isobaric compression:
Q: A hand-driven tire pump has a piston with a 2.2 cm diameter and a maximum stroke of 34 cm. How much…
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Q: If a gas in a cylinder pushes back a piston against a constant opposing pressure of 2.97 × 105…
A:
Q: How much work is done on the gas in the process as shown, in Joules? Vf = 94 cm3. (1.00 cm3 =…
A: Given: Vf=94 cm31 cm3=1×10-6 m31 kPa=1×103 Pa
Q: The energy released from condensation in thunderstorms can be very large. Calculate the energy (in…
A: radius = 2.1 km h = 2.7 cm density of water = 1000 kg/m3
Q: A gas expands from 0.1 m^3 to 0.5 m^3 under a constant pressure of 10kPa. What is the work done? * 4…
A: Given Initial volume of the gas is Vi=0.1 m3 Final volume of the gas Vf=0.5 m3 Pressure of the gas…
Q: A fuel mixture in a piston chamber expands from 264 mL to 1471 mL at constant temperature against a…
A: Solution
Q: 7.40 A fan produces a pressure rise of 6 mm of water to move air through a hair dryer. The mean…
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Q: A heat engine receives heat from a heat source at 1200°C and has a thermal efficiency of 40 percent.…
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Q: A TV tube of glass with zero pressure inside and atmosphere pressure outside suddenly cracks and…
A: Given that: Inside pressure, Pi=0 PaOutside pressure, Po= 1 atm=101325Volume of the tube,…
Q: One mole of helium atoms has a mass of 4 grams. If a helium atom in a balloon has a kinetic energy…
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Q: Heat is transferred to a heat engine from a furnace at a rate of 80 MW. If the rate of waste heat…
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Q: Gas 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…
A: Wordk done on the gas = -work done by the gas =-PVfinal-Vinitial=PVinitial-Vfinal
Q: While the pressure remains constant at 689.5 kPa the volume of a system of air changes from 0.567 m³…
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Q: An underground salt cavern has approximate dimensions of 100m x 500m x 3m. The underground salt…
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Q: A pearl diver fills his lungs with 5.25 LL of air at normal atmospheric pressure and then dives to…
A: Initial volume, V1 = 5.25 L => V1 = 5.25*10-3 m3 Initial pressure, P1 = 1 atm => P1 = 101325…
Q: The energy released from condensation in thunderstorms can be very large. Calculate the energy (in…
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Q: Gas in a container is at a pressure of 2.0 atm and a volume of 7.0 m3. (a) What is the work done on…
A:
Q: The efficiency of a muscle during weight lifting is equal to the work done in lifting the weight…
A: efficiency of a muscle during weight lifting is equal to the work done in lifting the weight divided…
Q: A circular swimming pool has a diameter of 16 m. The circular side of the pool is 3 m high, and the…
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Q: An electrical power station uses 1.68 x 1014 J of heat input with an efficiency of 29.7%. (a) How…
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Q: Gas in a container is at a pressure of 1.7 atm and a volume of 8.0 m3. (a) What is the work done on…
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Q: One gram of water (1 cm³) becomes 1671 cm3 of steam when boiled at a constant pressure of 1 atm…
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Q: In rural housing, the source of water is obtained through groundwater pumped up. Assume that the…
A: We are supposed to find the input power required to lift water. Power is defined as work done per…
Q: One mole of an ideal gas does 1700 J of work as it expands isothermally to a final pressure of 1.00…
A: One mole of an ideal gas does 1700 J of work as it expands isothermally to a final pressure of 1.00…
Q: 50 g of water is split into hydrogen and oxygen using electrolysis at 27oC. Calculate the work done.
A: Given: mass of water = 50 g temperature T = 27o C = 27+273 =300 K Knowns: atmospheric pressure P…


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- A mixture of helium and neon gas is expanded from a volume of 77.0L to a volume of 87.0L, while the pressure is held constant at 27.0atm. Calculate the work done on the gas mixture. Round your answer to 3 significant digits, and be sure it has the correct sign (positive or negative).A cylinder contains one liter of air at room temperature (300 K) and atmospheric pressure (105 N/m2). At one end of the cylinder is a massless piston, whose surface area is 0.01 m2 . Suppose that you push the piston in very suddenly, exerting a force of 2000 N. The piston moves only one millimeter, before it is stopped by an immovable barrier of some sort. How much work have you done on this system?The average electricity consumption of a house in Gainesville is known to be 1,007 kWh in a month (One month = 30 days). They would like to install solar panels of 29 % efficiency to generate this electricity. Given that the average solar power density in Gainesville is 5.47 kWh/m2/day, how much surface area must the panels occupy? Calculate the result in m2 but do not write the unit. Round off %3D you answer to a whole number (zero decimal place.)
- One mole of an ideal gas is heated slowly so that it triples its volume and pressure, in such a way that the pressure of the gas is directly proportional to its volume (linear relationship). Whats the work consumed by the gas?A gas expands from an initial volume of 0.40 m3 to a final volume of 0.62 m3 as the pressure increases linearly from 110 kPa to 230 kPa. Find the work done by the gas.As a gasoline engine is running, an amount of gasoline containing 13,600 J of chemical potential energy is burned in 1 s. During that second, the engine does 3,400 J of work. (a) What is the engine's efficiency (in percent)? % (b) The burning gasoline has a temperature of about 4,100°F (2,500 K). The waste heat from the engine flows into air at about 90°F (305 K). What is the Carnot efficiency (in percent) of a heat engine operating between these two temperatures? Need Help? % Read It
- 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? JGas in a container increases its pressure from 1 atm to 3 atm while keeping its volume constant. Find the work done (in J) by the gas if the volume is 5 liters. 0 5 15 x 102 O 15A heat engine takes in 2500J and does 1500J of work. a) How much energy is expelled as waste? b) What is the efficiency of the engine?
- A large electrical power station generates 1050 MW of electricity with an efficiency of 37.0%. (a) Calculate the heat transfer (in J) to the power station, Q, in one day. (b) How much heat transfer Q. (in J) occurs to the environment in one day? (c) If the heat transfer in the cooling towers is from 35.0°C water into the local air mass, which increases in temperature from 18.0°C to 20.0°C, what is the total increase in entropy (in J/K) due to this heat transfer? J/K (d) How much energy (in J) becomes unavailable to do work because of this increase in entropy, assuming an 18.0°C lowest temperature? (Part of Q. could be utilized to operate heat engines or for simple space heating, but it rarely is.) to Additional Materials O Reading CS Scanned with CamScannerArchimedes tells us the lifting power of a balloon (how much mass it can lift) is equal to the difference between the mass of the balloon and the mass of the air it displaces. That is, if the balloon occupies the same volume as 10 kg of air, but the balloon only weighs 2 kg, then the balloon can lift 8 kg. Airships have sometimes been filled with hydrogen (H2), but hydrogen is very flammable, and after the Hindenburg caught fire and crashed in 1937 with serious loss of life airships have nearly always been filled with helium (He) instead. gas H₂ density 0.090 kg 3 m kg He 0.18 3 m kg 1.23 3 P air m Suppose a new airship Star of Balogna will have the shape of a cylinder 100. m long, with a radius of 15.0 m, and will weigh 9200. kg without any gas inside it. Suppose also the average passenger weighs 83 kg. Calculate how many passengers the Balogna could carry if it were filled with hydrogen, and also if it were filled with helium. Passengers with H₂: 0 × Passengers with He: ☐ 5The energy released from condensation in thunderstorms can be very large. Calculate the energy (in J) released into the atmosphere for a small storm of radius 2.6 km, assuming that 2.5 cm of rain is precipitated uniformly over this area. (Assume that the rain is precipitated over a circular area and that the density of water is 1000 kg/m3.) _________J