A balloon is inflated inside of a container pressured to 1 atm. The container is then suddenly evacuated. What happens to the balloon? Does it do work? Why or why not?
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A balloon is inflated inside of a container pressured to 1 atm. The container is then suddenly evacuated. What happens to the balloon? Does it do work? Why or why not?
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- A sample of gas expands from 1.0 m³ to 4.0 m³ while its pressure decreases from 40 Pa to 10 Pa. How much work is done by the gas if its pressure changes with volume via (a) path A, (b) path B, and (c) path C in the figure? Pressure (Pa) 40 30 20 10 ( C A 1.0 2.0 3.0 4.0 Volume (m³) (b) Number B (a) Number i (c) Number Units Units UnitsThe temperature of 10 moles of an ideal gas is 1000 K. Compute the work done by the gas when it expands isothermally to three times its initial volume. Given: Boltzmann constant: k = 1.38 x 10–23 J/K, Ideal Gas Constant: R = 8.31 J/(mol K) A. 91300 J B. 9130 J C. 913 J D. 91 J E. 9 JA moonshiner makes the error of filling a glass jar to the brim and capping it tightly. The moonshine expands more than the glass when it warms up, in such a way that the volume increases by 0.5% (that is, ΔV/V0 = 5 10-3) relative to the space available.
- A sample of ideal gas is expanded to twice its original volume of 0.7 m³ in a quasi-static process for which P=aV² with a = 5 atm/m6, V₁ = 0.7 m³ and Vi Va 1.4 m³, as shown in the figure. 3 P P = (5 atm/m³) V² V = 0.7 m³ 3 1.4 m³ 3 How much work was done by the expanding gas? Answer in units of J.A sample of an ideal gas is expanded to twice its original volume of 1.00 m³ in a quasi-static process for which P=aV², with α= 4.53 atm/m6, as shown in the P-V plot below. How much work is done on the expanding gas? P Les P=av² 1.00 m³ 2.00 m³4. Suppose that a nuclear power plant has an efficiency of about 0.34, and generates 1000 MW of power. It is located on the banks of a major river that is 67 m wide near the plant, approximately 3 m deep, and flows at a rate of 0.5 m/s. Suppose that the plant re-routes all of this water into the plant and dumps its waste heat evenly throughout the water, then returns the warmer water to the river. How much warmer is the river downstream of the plant compared to upstream? Water's specific heat is approximately 4184 J/kg/K, and its density is 1000 kg/m³. [Answer: The water is warmer by 4.62 K. This is a lot warmer!]
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