3) A 1-m3 tank contains 2.841 kg of steam at 0.6 MPa. Determine the temperature of the steam, using (a) The ideal gas equation; (b) The van der Waals equation; (c) The thermodynamics properties table
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Specific volume is the volume per unit mass, so we can find it by dividing the volume of the tank by the mass of the steam: v = V/m = 1 m³ / 2.841 kg = 0.352 m³/kg Now, we can use the different methods to find the temperature of the steam. (a) Ideal Gas Show moreā¦
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A $1-m^{3}$ tank contains 2.841 kg of steam at 0.6 MPa. Determine the temperature of the steam, using $(a)$ the idealgas equation, $(b)$ the van der Waals equation, and $(c)$ the steam tables. Answers: (a) $457.6 \mathrm{K},$ (b) $465.9 \mathrm{K},(\mathrm{c}) 473 \mathrm{K}.$
A $0.2-\mathrm{m}^{3}$ rigid tank equipped with a pressure regulator contains steam at $2 \mathrm{MPa}$ and $300^{\circ} \mathrm{C}$. The steam in the $\operatorname{tank}$ is now heated. The regulator keeps the steam pressure constant by letting out some steam, but the temperature inside rises. Determine the amount of heat transferred when the steam temperature reaches $500^{\circ} \mathrm{C}$.
(a) Use the ideal gas equation to estimate the temperature at which $1.00 \mathrm{kg}$ of steam (molar mass $M=18.0 \mathrm{g} / \mathrm{mol})$ at a pressure of $1.50 \times 10^{6} \mathrm{Pa}$ occupies a volume of $0.220 \mathrm{m}^{3} .$ (b) The van der Waals constants for water are $a=0.5537 \mathrm{Pa} \cdot \mathrm{m}^{6} / \mathrm{mol}^{2}$ and $b=3.049 \times 10^{-5} \mathrm{m}^{3} / \mathrm{mol} .$ Use the Van der Waals equation of state to estimate the temperature under the same conditions. (c) The actual temperature is 779 K. Which estimate is better?
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