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MetroPCS LTE 10:15 PM 39% D Done Fall 2017 Student copy-1.pdf 79 of 92 78 Units

ID: 3116304 • Letter: M

Question

MetroPCS LTE 10:15 PM 39% D Done Fall 2017 Student copy-1.pdf 79 of 92 78 Units are very important in cakulations; using wrong units can sometimes have fatal consequences. Dimensional Analysis is a method you would use to determine the units of a chemical reaction; it is really the algebraik manipulation of all the units of an equation. For example, speed is the distance something travels over a certain amount of time Distance Speed = a) If the distance is measured in meters (m) and the time is seconds (s) what do you expect the units for speed to be? b) Given the equation for speed, explain why your answer to part a) makes sense Chemical reactions take place all the time. In General Chemistry II, you will study these reactions and use your knowledge of logarithms to leam about different characteristics of a reaction. One of these s the Activation Energy of a chemical reaction. It is the minimum amount of energy need for a chemical reaction to ocour, In order to find this value, a chemist will measure the reaction rate of a chemical at one temperature and compare it to the reaction rate of the same chemical at a different temperature. The relations hip between the reaction rates, temperatures, and the Activation Energy is given by the logarithmic equation: In the equation above, . ki and ke are the reaction rate constants measured at the two temperatures T, and T respectively. (The unit for temperature is measured in Kelvin, K R is the universal gas constant 8.314 . E,is the Activation Energy that is given or what we are looking for. It has the units

Explanation / Answer

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Given units of distance as meters and unit of time as seconds hence units of speed shall be meters / second

Further

As per the given formulae

Speed = Distance / time

= Distance (meter)/ time ( seconds)

Dimensional analysis of which shows in RHS [LT^-1]

HENCE IN THE LHS ALSO UNITS SHALL BE SAME

I.E. M/ SEC

SOLUTION