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3. It is desired to produce 1000 kg/h of Na3PCO4 • I2H2O crystals from a feed solution containing 5.6 wt% Na3PO4 and traces of impurity. The original solution is first evaporated in an evapprator to a 35 wt% Na3PO4 solution and then cooled to 293 K in a crystallizer, where the hydrated crystals and a mother liquor solution are removed. One out of every 10 kg of mother liquor is discarded to waste to get rid of the impurities, and the remaining mother liquor is recycled to the evaporator. The solubility of Na3PO4 at 293 K is 9.91 wt%. Calculate the kg/h of feed solution and kg/h of water evaporated. (25%)

1 * The 200 Ih block is at rest on the plane shown in Figure 1. The coefficient of friction between the block and the plane is 0.45. The force I) is applied gradually (逐 漸）unt.il the block begins to move. If the block is to neither tip (傾斜）nor slide, determine the maximum force P that can be applied. (20%)

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(iii) A light, bulb has been used for one year, whal; is the prohabilil;y that I;lie light; bulb can be used for antlier year，ami wliai, is he expectation of Ihe life time of this light, bulb.

(iii). Use tJic (lisf.ribiiUmi of X(n) to construct a, coiirulence interval of θ with level 1 — α.

(i) Find the UMP test with significance level 0.1.

(a) u = cx/(x2 + y2) and v = -cy/(x2 + y2),

(b) u = -cx/y and v = c ln(xy) where c is a constant.

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