Question

Partial-molar volume. In a binary solution the partial molar volumes of the two components can be determined from the mass density N/V as a function of the mole fraction x2 of component two: V, (») = M1 [1+ (1 – x2)M1 + x2M2 22 dp(x2)] p(x2) Ñ 8(x2) dx2 ] and Team - M2 (1. (1 – x2)M1 + x2M2 1 – 22 dp(x2)] p(x2) dx2 ] (22) = (x2) M2 where Mi denotes the molar mass of component i. The mass density in g/mol of a solution of 1-propanol and water at 20 °C as a function of the mole fraction of 1-propanol can be expressed as a polynomial in 22 as 4. p(x2) =akme, . k=0 where the coefficients are ao = 0.99823, Q1 = -0.48503, Q2 = 0.47518, a3 = -0.17163, and Q4 = -0.01387. Use this to plot the partial molar volumes of the two components as functions of composition. Feel free to look up the molar masses needed

Answer 1

Columns in excel sheet are explained below.

Moss density (e(g) = a tale tak? + 92 1² + aunt Team 1 (1-2), + 2 M2 Mi Team? Ne. Term 3 dll) d 1₂ - a tal + 3 az 4 + 4 au de Term. 4 M VI M. (1-32) Mi + BM na decre) Terms (1-12 ) My + 12M2 Team 6 1-12 Term of M2 ((n) M2,- (x>)M, +92 M2f-xy) de(s) P(x3) M2 lerne) dar 12 12 Scanned with CamScanner x2 Mass density Term1 Term2 Term3 Term4 víterm5 term6 0.05 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 0.97514491 1.116667 0.051274 -0.43881 18.4588 17.99503 0.954305783 1.233333 0.104788 -0.3952 18.86188 17.89851 0.935580777 1.35 0.160328 -0.35425 19.23939 17.76421 0.918835968 1.466667 0.217667 -0.316 19.59 17.61376 0.903935352 1.583333 0.276568 -0.28049 19.91293 17.46711 0.890740843 1.7 0.336798 -0.24776 20.2079 17.34127 0.879112277 1.816667 0.398129 -0.21786 20.4752 17.24895 0.868907408 1.933333 0.460348 -0.19082 20.71567 17.19752 0.85998191 2.05 0.523267 -0.16669 20.93067 17.18813 0.852189375 2.166667 0.586724 -0.14551 21.12207 17.21503 0.845381317 2.283333 0.650594 -0.12732 21.29217 17.26514 0.839407168 2.4 0.71479 -0.11216 21.44371 17.31779 0.83411428 2.516667 0.77927 -0.10007 21.57978 17.34453 0.829347923 2.633333 0.844037 -0.0911 21.7038 17.309 0.824951289 2.75 0.909145 -0.08529 21.81947 17.16667 0.820765488 2.866667 0.9747 -0.08268 21.93075 16.86448 0.81662955 2.983333 1.040864 -0.0833 22.04182 16.34008 0.812380423 3.1 1.107855 -0.08721 22.15711 15.5207 0.807852977 3.216667 1.175957 -0.09444 22.28128 14.32136 0.80288 3.333333 1.245516 -0.10504 22.41929 12.64231 0.335 0.974214 0.37 0.943094 0.405 0.908527 0.44 0.870667 0.475 0.829705 0.51 0.785863 0.545 0.739382 0.58 0.690522 0.615 0.639548 0.65 0.586724 0.685 0.532304 0.72 0.476527 0.755 0.419607 0.79 0.36173 0.825 0.303048 0.86 0.243675 0.895 0.183682 0.93 0.123095 0.965 0.061892 1 -2.8E-16 term7 v2 61.52932 70.3409 62.87293 71.54326 64.13129 72.4906 65.30001 73.20501 66.37643 73.71387 67.35966 74.04846 68.25067 74.24228 69.05224 74.32946 69.76891 74.34313 70.40689 74.31392 70.97389 74.26873 71.47902 74.22963 71.93259 74.2131 72.34599 74.22948 72.73157 74.2825 73.10249 74.36906 73.47273 74.47892 73.85 702 74.5944 74.27094 74.68988 74.73097 74.73097 Partial Molar Volumes 0.2 0.4 0.6 0.8 Mole fraction of 1- Propanol