Question

4. What is the volume (expressed in uL) of an animal cell (a lymphocy diameter of 8 um? (Result in scientific notation) The volume of a sphere (spherical cell) is Volume = (1/6) T d; where TT= 3.14; d diameter 5.How many um are there in 3 Km? Solve this problem in two different ways: (1) Using dimensional analysis (result in scientific notation), (2) By moving the decimal point to arrive at the correct conversion 6. The C and °F scales are equiva lent at only one temperature. That is, x °C = x °F. Use the relationships for temperature conversions to DERIVE (FIND) that temperature. This problem does not ask you to substitute the temperatu re that you may already know into the formu las; however, use the formulas you know to arrive at the temperature as your final answer. No credit will be given to answers that merely just substitute the formula into the equation or use trial and error to arrive at the temperature. ub 7. Re-write the following four numbers in scientific notation: 3,650 x 10 3. 3,650 x 10; 1,000,000 0.000999; 8. How many um are there in 1.24 Km? (Res ult in scientific notation) 9.How many um are there in 10.5 pL? (1 pl=1mm) (Result in scientific notation) 10. How many nL are there in 1.3 fl. oz.? (1 fl. oz.=29.57ML) (Result in scientific notation)

Answer 1

(4) Voliome of spherical cell = 1/3 d . = 143 144 (8x100) (4-100) = 12 * 3.14 X 512 x 10-18 - = 2.6795 xro Pum3 v UTA (5) um To Comert 3km Dimensional Analysis 1 um = 10 cm = 106 x 10²m Moring Decimal point 3 km = 3000m 3000 10 6 106 13 = 106 10²m 3km = 3x10 um | lo 3 = 1099 km. 3 km + 1 um 1 109 km 3kn= 3 x10 um 3,6507104 = 3.65 x 107 3,650 x10 3 = 3.65 x 10° o-rooggg og to 0.0ooggg = 9.9x104 1,000,000 = 1x106 (6) We know that F = 9 C +32 for ucauf (8) 124 km = 1.24x10 x 10 m 106 16 *= fx+32 - 9 = 32 = 1.26410 un 2 en = 32 In = 60° 105 tt = To 5x10 10 15 uL = 10.581 mm² = 105x10-3 m3 = 10.5 *10-3x103 10-3 m3 = 10.5x103 um 10) 43 flot = 1. 3 99257 ml =tBxrg 3710 1 10.5ML= 1.05x10 um 3

10) 3 Poz = 13 x 24 57 mL = ( 3 2 3 51 xio 3 - - 3 x2 51x to xio- 1) (ors - 3 8.44x10% хо і = 3.441x not n | 1 ft-oz