Question

Problem 5. (25) Giving up that pumpkin as lost, you decide to go home and make some pumpkin pie with the leftovers. The recipe calls for 500g pumpkin 350 ml milk Spice mixture: 125 g sugar + 25 g other spices 2 eggs a) The spice mixture is composed of sugar, 8 g nutmeg, 5 g allspice, and the remainder is cinnamon. What is the mass fraction of each component in the spice mixture? The molecular weights of each of the spices are as follows: Sugar Cinnamon Nutmeg Allspice MW (gimol 342.3 132.2 192.2 150.2 b) Estimate the average molecular weight of the spice mixture. c) Estimate the number of moles of spice mixture that you have. d.) You next add the milk to the spice mixture and stir thoroughly. What is the molarity of spice mixture? (Assume 1ml milk = 1 ml water). e) The pie has to bake at 220°C for 45 minutes. What is that in °K? In °F? In °R?

Answer 1

1)

there are Problem S (26) given that To make pumpkin pie pumpkin -soog Milk-300 und Spices Eocl. -2° Eggs - 2 a) Sugar - 125gm Nutmeg - 89 auspice - sgon ) sej — 2) then DOC terkel- Слика Илк - STм Cinnanon ita spice. mass fraction of Sugar Indivinal mass - total mass 125 ) 163 rass fraction of sugar - 01766 mass fraction of Nutmeg - o8gux. V 165 g - 0.049 hans traction of All spices or 163 90. 0306

2) 3)

mass traction of cinnamon - 25 -0.153 (b) Aug molecular weight Given data are in mass tractions 80 - XA + B + Xc " MAMB Me "Mw 'Mo - Average molecular weight MA a molecular weight of A Ma a molecular weight of B. XA - mass fraction of ougas 0.766 MAS moleculas ut of Sugon = 342.3. Xet mass fraction of Cinnamon = 0.153 MB - molecular wit of Cinnamon to 132.2 mass traction of noting 0049 Mc- mod wt of Nuting = 192.2 xo mass fraction of Allspice =0.0366 Mp= moliwt of All spice s 150.2 ww w to the one to you mu 0.766 +0.153 +0.049,0.0306 842.3 132.2 19212 150.2 0-00223 +0.00115 +2.syxio + Roos X 109 الدم

= 0.00338t 4.57X1 MW - t 4.Sax 10" 6.00334 www = 295.85 7 2188.18 au a 1 -0.003237 mw = 260.62 Aug mod weight - 260.62 (C) No. of moles of spicce mixture marts of mol 70.3651 moles males of cinnamon - 259 132.2 mm & roles of nutmeg - 8 - 1891 moles. som 1922 gun mod 20.04162 moles

4)

moles of All spiece - sy 1500 g =).0332 moles Total moes – Sugar tcinnamon & Nutmegt Anspre - 0.36517 0:189170.04162 +0.0332 => 0.6291 moles no of moles (6) molarity I volume of specia 2) 0.629 1 moles 350 ml of milk >) 0.629 mal 0.350 dit ?) 1.797 mod lit E) pie Bake at 2000 for us eine - In ok ok-273.15te K=273.15t220 TT 493.15 kl

5..)

In of Taara F906 +32 of- 1 226)+32 ore (uuxa)+ 32 396 132 पर IT = 10 F = 428. ceedcius to Rankine R) Pormenta | Re Tractat491.67 op- (22079) +491.67 R_ (110o9 ) + 491.62 S op - 221,8 +49162 Top - 713.47