A brass ring of diameter 10.00 cm at 20 degrees Celsius is heated and slipped over an aluminum rod of diameter 10.01cm at 20 degree CelsiusAssuming the average coefficients of linear expansion are constant,ato what temperature must this combination be cooled to separate them? is this attainable?bWhat if the aluminum rod were 10.02 cm in diameter?
I blend 1 cup of Cocoa, 2 cups sugar, 1 cup of flower, 2 sticks of melted butter ,4 eggs, and 2 teaspoon of vanilla, and 1/2 teaspoon baking powderI bake it at 350° F for 45 minutes.
Working formula is D Do[1 + α(delta T)] where D diameter of the material at any given temp Do initial diameter of the material α coefficient of linear expansion delta T temperature change For the two materials to separate, there must be a tolerance of 10.01 - 10.00 0.01 cm For the brass ring, Db 10[(1 + αb(delta T)] For the aluminum rod, Da 10.1[1 +αa(deltaT)] Hence 0.01 10.1[1 +αa(deltaT)] - 10[(1 + αb(delta T)] I will stop my actual solution hereI will leave the substitution of the appropriate coefficients of expansion and calculation of delta T for you to doLet T temperature at which the two materials will separate then, after solving for delta T T delta T + 20 If the diameter of the aluminum rod 10.02, simply follow the same procedure as above except that for Da, use Da 10.02 Hope this helps.
Bud Brownies - Measurement Ingredient: 6 Ounces Unsweetened Baking Chocolate 2 Cups Granulated Sugar 2 Cups Brown Sugar - Firmly Packed 2/3 Cup Light Corn Syrup 1 Cup Butter or Margarine (Softened) 8 Large Eggs 2+1/2 Cups All Purpose Flour 2 Cups Walnuts (Optional) 1/8th Tsp Hash (OR) 1/4 Ounce Finely chopped/crushed Bud Preheat your oven to 325 - 350 Degrees FPrepare your Bud butter ahead of time by simmering the butter or margarine, stir in the hash or budWith the bud strain the butter into a bowl and set the bud aside later, it can be used as part of the flavor laterThis is a personal choice that I personally enjoyGrease a 10 X 12 X 2 Inch pan (Optional if you have a Teflon coated pan.) Melt the chocolate either in a double boiler or in a sauce pan that is placed atop a pot of boiling waterAllow the chocolate to melt while you mix the sugars together with the corn syrup and butter, do not mix too thickly, just enough to spread things aroundTake the now melted chocolate and slowly add it into the mix, blending it in wellOnce the mix is of a fairly consistent color add the flour, beating until it is smoothAdd walnuts and crushed bud here if you want, folding it in gentlyPour the batter into the prepared pan, spreading it as neededGive the pan a shake to let the surface become more consistent before baking in the oven for 25 - 30 minutes (This may be off by a few minutes depending on altitude and such) Brownies are done when a toothpick is pulled out with either no residue or a cake-like residue sticking to itPlace the pan on a wire rack to cool, serve once it's safe to consume and enjoy!
I just look in the toilet.
