You pull out your old geology text and look up gold in the mineral table, and read that its density is 19. Normal solutions Describe how you would prepare 1000 mL of a 1. Keep this in mind as you do calculations! The of a was measured in a graduated shown above. Then we can cancel units. Describe how you would prepare 100 mL of a solution that is 22% acetic acid by volume. Then, write out conversion factors from step 2 as fractions so that units cancel. As you're driving along, you notice that the speed limit signs have numbers like 120 on the highway and 50 in the city.
Solution: A mole fraction of 0. Divide the mass of acid by its density 1. Worksheet will open in a new window. Describe how you would prepare 1. The equation for specific gravity is The subscript x refers to the material in question.
What is the molar concentration of this solution? Answer: Calculate the volume of 3. In this problem you need a volume, so you will need to rearrange the density equation to get volume. Describe how you would prepare 1 L of a 2 M solution of acetic acid. Describe how you would prepare 100 g of a solution that is 0. What is the density of the cake? Most of us can easily divide by 10, making this calculation much easier. Problem 4: In the above two examples which rock is more dense? Answer: Volume percent means the number of milliliters of solute per 100 mL of solution. You know the mass 40 g , but the volume is not given.
Do the original units cancel so that you end up with what the question is asking for? Therefore, all you care about is the mass in grams and so the 60 g rock in the second problem is heavierand the 45 g rock in the first question is lighter. The number of significant figures will be the same as the number in your least precise value. Now we multiply across the top and bottom note that the bottom number doesn't have any units because both are canceled by others : And when we clear fractions: We find that our hike will be 7 miles! One-half mole of magnesium hydroxide, therefore, accepts one mole of protons. What is the specific gravity of your granite? Describe how you would prepare 500 mL of a 1. The question is asking about heavier and lighter, which refers to mass or weight.
This means that conversions within the metric system involve moving zeros around. Answer: Calculate the volume of 85. It may help to think about mm on the map and mm on the ground as different units. Finally, check to make sure your answer is reasonable. When all the solid is dissolved and the solution is at room temperature, dilute to the mark and invert the flask several times to mix.
Next, we have to write these conversion factors as fractions. You tell the seller to take a hike. Once you find your worksheet, click on pop-out icon or print icon to worksheet to print or download. To determine the density you need the volume and the mass since. Calculate the mass g of the solution that must be taken to obtain 247 g of hexane C 6H 14. What is the molarity, molality and mole fraction of acetone in this solution? Light substances would float on water, so their density should be less than that of water. You can then divide both sides by density to get volume alone: By substituting in the values listed above, So the volume will be 0.
However, it shows that the Earth cannot be made completely of granite! Remember to arrange them so that units you don't want cancel and you end up with units that you do want! What units need to be in denominator bottom? So, if you have four significant digits for mass but only three significant digits for volume, your density should be reported using three significant figures. To prepare the solution, dissolve 0. If the of gasoline is 0. It also means that when doing calculations, many times you can cancel out zeros. The of lead is 11.
By multiplying both sides by volume, mass will be left alone. Remember to arrange them so that units you don't want cancel and you end up with units that you do want! It is made of granite, which has a typical density of 2. You can map any feature wider than 7. You will need to rearrange the density equation so that you get mass. After throwing the ball in the pool for my dog, the ball sprung a leak and began to fill with water.
How wide in m can that feature be? However, it shows that the Earth cannot be made completely of basalt either! See if you can do some unit conversions using information given in the questions below to determine whether the whole Earth could be made of these two rock types only. The gram formula weight of phosphoric acid is 98. Describe how you would prepare 1 L of a 1 M solution of sodium chloride. The question is asking about density, and that is the ratio of mass to volume. Answers are provided but not worked through. Given the information above, could the earth be made completely of granite? First, think about what you know 0. Several of them are listed below.
An ice cube measuring 5. Problem 5: You decide you want to carry a boulder home from the beach. Density Conversions multiple step problems Problem 2:Geologists' observations suggest that the two most common rocks exposed at the surface of the Earth are granite continental crust and basalt oceanic crust. In fact, when you get to that point, you may not even need a calculator. Substituting in the values from the problem, The result is that the mass is 75,600 grams.