Here is an example of checking the Dimensional Consistency of an equation of motion:. Identify the terms in the equation and identify which symbol stands for which physical quantity. The terms here are: Write down the dimensional formula of each symbol used in the equation. If you are unclear how to do it, go to the first article in this series.
Calculate the dimension of each term in the equation. Note that, as stated above, we have canceled dimensions from numerator and denominator like [T The equation is dimensionally consistent since all the terms have the same dimensions.
The following kind of terms are dimensionless in an equation. Now that we have dimensional analysis explained, here are some practice problems:. What is the dimension of Force in mass? What is the dimension of force in Temperature? Write down the dimensional equation of Density. Check the dimensional consistency of the following equations:.
Can you tell on the basis of Dimensional Analysis that which of these is the correct formula for kinetic energy? Dimensions of a Physical Quantity Review the study guide on units of derived physical quantities where we learned to express the derived quantity in terms of the base quantities. The program keeps marking all my answers from here on as incorrect. I think I might just be having an issue with this one and since all the others build off of this question, its messing up the rest of my set.
How much surface area will this much catalyst matrix have? D The catalyst matrix has a density of 0. What volume of catalytic matrix is needed to reduce CO emissions? What volume of catalytic matrix would you need to reduce the CO emission in this automobile? You just solved this question for the automobile If you make sure all your units cancel correctly, you should be confident you have the right answer.
Volume of catalytic matrix needed for the SUV? If you can tell me where you are getting 3. Remember this is how much platina there is in a gram of matrix, and you have the amount of platina, so getting the amount of matrix just involves dividing by the ratio.
Submit a new text post. Please try Google before posting. The title should be of the form "[Level and Discipline] General Topic. What does your instructor want you to accomplish? Offers or solicitations of payment in any form. Those who spam us will be banned. We use automoderator for a few things. It may delete a post erroneously. We ban all bots. If the amount of mercury in a polluted lake is 0. The lake has a surface area of mi2 and an average depth of 20 ft. I got kg, but the answer is apparently 7x10 5 kg.
I think I might have messed up from square miles to milliliters--can someone walk me through this? Did I screw up the conversion to square kilometers? First of all, the conversion from km to mm is 10 6, so km 3 to mm 3 is 10 You properly squared the conversion factor.
That is something people sometimes miss at first. In orig post you said Hg was 0. Please check which you intend. Why not see if you can make use of these comments. If you get their power of 10, but 6 vs Not so good; you have done it fine, by keeping extra digits, and rounding only at the end.
But maybe they did not. If we still have power of 10 issues, then we need to look more carefully. Could someone just walk me through the problem? I ended up with like 0. Could the answer be a typo? You can fill out the digits later. Why not you try to it on the side, one step at a time.
Dimensional Analysis can be very useful when you come across a situation where you forget a formula that applies to certain values.
Dimensional analysis is one of the first topics covered in many chemistry classes. Bone up on your dimensional analysis skills with the best chemistry resources online. You can practice unit conversions with a free worksheet, watch a video, and more.
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Email Based Homework Assignment Help in Dimensional Analysis Transtutors is the best place to get answers to all your doubts regarding d imensional analysis, rules for dimensional analysis, its applications and limitations with solved examples. View Homework Help - Homework 1: Dimensional Analysis from CHEM 2a at University of California, Davis. KEY Dimensional Analysis Worksheet Suggested text book problems: Ch 1. 27, 29, 33, 35, 39 1. if.