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Solution: Complete the table: c. 554 mK/s    _______K/s    _______µK/...

Question

Complete the table:

c. 554 mK/s    _______K/s    _______µK/ms 

Video Transcript

Hey guys, in this question we have to do some conversions so we have 554 millikelvins per second and what we have to do is we have to change a milli kelvins over seconds to Kelvins over second and then we have to change milli kelvins over seconds to micro Kelvins over milli seconds so this is going to require some converting and actually we're going to need some room guys so let me take myself out of the image so we're going to start out with 554 milli kelvins per 1 second all we have to do is change milli Kelvins to Kelvins so milli Kelvins go here on the bottom Kelvins go on top, remember 1 is associated with the metric prefix so 1 milli is 10^-3 so that gives me, you can either write 0.554 Kelvins per second or in scientific notation 5.54x10-1 Kelvins per second both would be correct.

Now for the next one we have again 554 milli Kelvins per 1 second we're going to convert milli Kelvins to Kelvins like we did up above again 1 goes with the metric prefix and then here we need to convert Kelvins into micro Kelvins so Kelvins go on the bottom micro Kelvins go on top, again 1 goes with the metric prefix so 1 micro is 10^-6 and then lastly we need to convert seconds to milli seconds since the seconds are here on the bottom we're going to place seconds here on top and then milliseconds here on the bottom 1 milli is 10^-3 , OK? So, then what's going to happen here is this cancels out, we're going to say that this cancels out with this so we have left at the end will be micro Kelvins over milli seconds. So, then what we get here at the end will be 5.54x10^2 micro Kelvins per milli seconds or you can just simply say 554 micro Kelvins over milli seconds. So, this is the answer they will get for both operations so just remember that this deals with converting and doing metric prefix conversions when given one type of unit and change them into new types of units.

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