(ii) Have you ever made use of the correct quantity of extreme figures? thickness (step one.03 ) keeps 3 significant numbers frequency (1) provides step 1 extreme profile Whenever multiplying or dividing, the amount of tall numbers in the result is a comparable because minimum quantity of extreme data regarding the conditions utilized, therefore we try rationalized in making use of step 1 extreme profile. Our address (ten30) have 4 high numbers! Because the our company is simply rationalized in making use of step one tall shape, we are able to give the address while the one thousand grams, nevertheless best solution would be to explore medical notation and develop step one ? ten step 3 grams
(iii) Can be your respond to plausible? Manage a good “rough” calculation: occurrence ≈ step 1 g mL -step one step one chicas escort Virginia Beach mL from milk possess quite a few about 1 grams step 1 L (a lot of mL) from milk products enjoys scores of regarding the 1000 ? 1 = a lot of g Because this crude computation is practically the fresh new carefully calculated worth for bulk we’re fairly certain that all of our address is right.
Concern 5. On 25°C and 1 atm tension, diamond enjoys a thickness out of step three.5 grams cm -3 . Assess the amount within the cm step 3 from 0.fifty grams out-of diamond at twenty-five°C and you will 1 automatic teller machine stress.
step 3.5 grams cm -step 3 ? V (cm 3 ) = V(cm step 3 ) ? 0.50 g ? V (cm 3 ) step 3.5 grams cm -3 ? V (cm step three ) = 0.fifty g
[ step 3.5 g cm -step 3 ? V (cm 3 )] ? step 3.5 g cm -step three = 0.50 g ? step 3.5 g cm -step three V (cm 3 ) = 0.fifty ? 3.5 (cm -step 3 ) = 0.14 cm 3
Would an effective “rough” calculation: density ≈ 5 grams cm -step three step 1 cm -step 3 of diamond possess a mass of regarding 5 grams
(ii) Perhaps you have utilized the right number of extreme data? thickness (step three.5) has actually dos extreme numbers regularity (0.50) keeps 2 extreme data Whenever multiplying or dividing, what number of extreme rates from the result is an identical as least number of tall data regarding the words made use of, so we is actually justified in using 2 high figures. All of our address (0.14) enjoys 2 extreme rates
(iii) Is your answer plausible? 50 g for the mass which is 1 /10 th the mass of 1 cm -3 of diamond So the volume of 0.50 g of diamond will 1 /10 th the volume that is V = 1 /10 ? 1 cm 3 = 0.1 cm 3 Since this “rough” answer is about the same as our carefully calculated answer we are reasonably confident that our answer is correct.
Concern six. During the twenty-five°C and 1 automatic teller machine tension, ethylene glycol have a thickness of just one.eleven grams mL -1 . Estimate the quantity inside mL regarding 0.025 kg out-of ethylene glycol on twenty-five°C and you will step one atm tension.
Convert size into the kilogram so you’re able to bulk during the grams so you can be consistent that have gadgets regarding thickness (grams mL -step one ):
V (mL) ? step one.11 (g mL -1 ) = V (mL) ? twenty five (g) ? V (mL) V (mL) ? step 1.11 (grams mL -step one ) = twenty-five (g)
The question provides 0
[V (mL) ? step one.11 (g mL -1 ) ] ? step one.11 (g mL -1 ) = 25 (g) ? step one.eleven ( g mL -1 ) V (mL) = twenty-five ? 1.11 (mL -1 ) = 23 mL
(ii) Have you ever used the right level of tall numbers? mass (0.025) provides dos extreme data thickness (step 1.11) have step 3 high rates When multiplying or isolating, how many high figures from the outcome is an equivalent while the minimum quantity of extreme rates regarding the terms and conditions made use of, therefore we are justified in making use of 2 tall figures. Our very own respond to (25) has actually dos significant rates