One kilogram of water fills a 151 L rigid container at an initial pressure of 2M

Question

One kilogram of water fills a 151 L rigid container at an initial pressure of 2MPa. The container is then cooled to 40 degree C. Determine the initial temperature and the final pressure of the water. 10-kg of R-134a fill a 1.348m3 rigid container at an initial temperature of -40 degree C. The pressure is raised to 200 kPa via heating. Find the initial pressure and estimate the final temperature of the fluid ("estimate" because, the values for specific volume that you calculate may not correspond to an exact temperature on the table, just estimate within reason. We will learn how to calculate the temperature exactly in class on Friday).

Explanation / Answer

1 . using PV = nRT

mol of water = 1 x 10^3 g / 18 = 55.56 mol

V = 151L = 151 x 10^-3 m^3 = 0.151 m^3

P = 2 x 10^6 Pa

(2 x 10^6 ) (0.151) = 55.56 x 8.314 x T

T = 653.78 K

finally,

P (0.151) = 55.56 x 8.314 x (273 + 40 )

P = 9.57 x 10^5 Pa = 0.957 MPa

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