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Orderobtzin 40and the second Brend 90% pure antiirecze _ (irst brand 4u% purc antifreeze_ chemical campani makes two brands jnteCil antlireeze musete Veco? Lo Mony ...

Question

Orderobtzin 40and the second Brend 90% pure antiirecze _ (irst brand 4u% purc antifreeze_ chemical campani makes two brands jnteCil antlireeze musete Veco? Lo Mony gallon: Druno that contain; 859 Puro encltteele gailons miuge computations ceer calculator 'used t0 Make Note that the ALEKS graphlngFlrst brana:@gallonsSecord brond:qaliont

order obtzin 40 and the second Brend 90% pure antiirecze _ (irst brand 4u% purc antifreeze_ chemical campani makes two brands jnteCil antlireeze musete Veco? Lo Mony gallon: Druno that contain; 859 Puro encltteele gailons miuge computations ceer calculator 'used t0 Make Note that the ALEKS graphlng Flrst brana: @gallons Secord brond: qaliont



Answers

Work each mixture problem. How many gallons of $50 \%$ antifreeze must be mixed with 80 gal of $20 \%$ antifreeze to obtain a mixture that is $40 \%$ antifreeze? (FIGURE CANNOT COPY)

Hi, everyone. So did anyone in defining product. We need to include include the appropriate units with her. Enter. So what this is is we have five gallons times four course over one gallon. So to make this affection, we can do five gallons over one times for quartz over one gallon. What? Our girl in the units cancel. Oh, so we have five times for is 20 over one. But the only unit we have left his quirks 22 but about 1 20 So the product of this is 20 court.

So the expression for the lowering of the freezing point where we have delta T. F. Is equal to K. F. M. Multiplied by I. And so we can rearrange for the morality, which is delta T. F. Divided by K. F. Multiplied by I. We can plug in our values 31 degrees C. Divided by 1.86 degrees C kilograms per mole multiplied by one. We should get 16.666 moles per kilogram for the morality. And so we can determine the massive S. I. A, filing glycol where we take the morality Where the morality we just calculated. So we have 16.66 moles per kilogram, Multiplied by 9.940. So the mass of the solvent kg Is equal to 15.666 moles. So the massive filing glycol ingram's can be obtained by multiplying this mola value by the Molar Mass, which is 62.07. And what we get is 97243 g in scientific notation. That's 972 Times 10 to the two grounds.

For this question, we want to add a certain amount of antifreeze to, ah, 4% antifreeze mix to fill a 36 leader radiator with 20% antifreeze mix. The question asks how much antifreeze, How much pure antifreeze needs to be used in this kitchen. So to go about this question first, let's fill in this table. A pure antifreeze has a concentration of 100% in the anti for his anti freeze mix used to mix with the puree. Antifreeze is 4% concentration, and the overall are the target. Concentration is 20% now. Since this is the variable we want to find, let's call it X, and we can also call another variable. What the other variable, which represents the amount of 4% 80 freeze mixed. We can come on. What? No. If we use ex leaders of and she few of pure antifreeze, then thus X litres of your antifreeze. If we use why leaders of 4% antifreeze next, then that is 0.4% or 4% of why appear antifreeze used from that mix. In the end, we want to end up with 20% of 36 appear antifreeze, which is 7.2. No, since we know that the amount of antifreeze in our end product will be the amount of pure antifreeze in the 4% entry for his next, plus the amount of pure antifreeze in the pure antifreeze, the amount of parenting for his number use. In addition to this, the volume of Parenti for you supposed the volume of 4% to 2 for his mixed results in 36 36 leaders off our target mix. So here is the system of equations that represents the table above. Explains why he was 36 25 x plus y equals 180. This is a simplified version of Well, we got directly from the table which we can simplify by multiplying both sides by 25. Now, in order to solve for X and why we can use the method of elimination subtracting the second equation. Mine is the first we get that X equal six, which we can substitute back into equation one. To get that, why equals 30. And now that we have our values of X and y, we can check our answers back in the table to make sure that they make sense. These no exit my add up to 36 that X and 4% of why add up to 7.2.

To create our solution. We have to begin with X Galan's that is 50% and a freeze. Plus, we will be adding that to 80 gallons that is 20% and a freeze to create a 40% solution. That will be X plus 80 gallons. Simplifying we get 0.5 x plus 16 equals 0.4 x plus 32 point one X equals 16. Dividing by 160.1, the X will be 160 gallons.


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