(ii) Maybe you’ve used the right number of significant rates? density (step 1.03 ) keeps step 3 tall numbers regularity (1) has step one significant profile Whenever multiplying otherwise dividing, exactly how many significant numbers on result is an identical since the least level of tall figures throughout the terminology used, so we try rationalized in making use of step 1 significant figure. Our very own respond to (ten30) keeps 4 significant figures! Given that we’re just justified in using step 1 extreme profile, we can provide the respond to because the 1000 grams, nevertheless best solution is to explore medical notation and you will create step 1 ? ten 3 grams

(iii) Is the answer plausible? Carry out a “rough” calculation: occurrence ≈ 1 grams mL -step one step one mL out-of whole milk has actually scores of regarding step one grams step 1 L (a lot of mL) out of milk features quite a few on the a lot of ? step one = a thousand g That harsh formula is almost the fresh new carefully calculated well worth to own bulk our company is fairly positive that the respond to is right.

Matter 5. During the 25°C and you will 1 atm stress, diamond possess an occurrence of step three.5 grams cm -step three . Calculate the volume in the cm 3 off 0.50 grams regarding diamond on twenty five°C and you will step one automatic teller machine pressure.

3.5 grams cm -step 3 ? V (cm step 3 ) = V(cm 3 ) ? 0.50 g ? V (cm step three ) 3.5 g cm -3 ? V (cm step 3 ) = 0.50 g

[ step 3.5 g cm -3 ? V (cm 3 )] ? step 3.5 g cm -step three = 0.fifty grams ? step three.5 g cm -step 3 V (cm 3 ) = 0.50 ? 3.5 (cm -step three ) = 0.fourteen cm 3

Do an excellent “rough” calculation: thickness ≈ 5 g cm -3 step 1 cm -3 out of diamond provides quite a few from the 5 g

(ii) Have you made use of the right level of tall data? density (step three.5) features 2 high data frequency (0.50) enjoys dos significant numbers Miami dating sites Whenever multiplying otherwise splitting, the number of extreme numbers regarding the outcome is an equivalent since the very least quantity of high numbers about terms and conditions made use of, therefore we are justified in making use of 2 high numbers. Our respond to (0.14) enjoys dos extreme numbers

(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.

Question 6. From the twenty five°C and you will step 1 automatic teller machine pressure, ethylene glycol provides a thickness of just one.11 grams mL -step 1 . Determine the amount inside the mL of 0.025 kilogram off ethylene glycol during the twenty five°C and you will step 1 automatic teller machine pressure.

Move bulk when you look at the kilogram to help you mass into the grams to remain consistent with devices off occurrence (g mL -1 ):

V (mL) ? step 1.eleven (g mL -1 ) = V (mL) ? twenty five (g) ? V (mL) V (mL) ? 1.11 (grams mL -step one ) = twenty five (g)

The question gives us 0

[V (mL) ? step one.eleven (grams mL -step 1 ) ] ? step one.11 (grams mL -step one ) = twenty-five (g) ? 1.eleven ( grams mL -1 ) V (mL) = twenty-five ? 1.11 (mL -step 1 ) = 23 mL

(ii) Perhaps you have utilized the proper level of tall data? bulk (0.025) keeps 2 extreme data occurrence (step one.11) keeps step three high rates When multiplying or separating, what number of tall numbers about outcome is an equivalent because least quantity of high numbers about terminology made use of, so we is actually warranted in making use of 2 significant numbers. The address (25) possess dos tall data