a) Km? b) mm? c) inches? fuel mileage of a certain car is 28 mpg (mi/gal). What is it in units of km/L? 013km. ) gal

One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters.   c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube?  d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?

15. Which of the equations below are dimensionally cor- rect? (a) v = vo+ ax %3D - (b) y = (2 m) cos(kx), where k = 2 m-1 17. The consumption of natural gas by a company satisfies the empirical equation V= 1.50t + 0.008 00t2, where V is the volume in millions of cubic feet and t the time in months. Express this equation in units of cubic feet and units on the coefficients. As- %3D seconds. Put the proper sume a month is 30.0 days.

6) 1.89 Convert 0.045 barrels to gallons. 2. Do the following multi-step unit conversions: 7 Convert 75 minutes to days. 0.0520833 8) Convert 46 inches to miles (there are 12 inches in one foot). 0.00072601

How many significant figures are in each of the following? a) 2.401 b) 0.0005337 c) 6.00 d) 5.1 x 105 e) 0.133

6. The volume of a cube is 250 mm3. What is the length of one of the sides? (Express your answer in meters.)

3) A swimming pool contains 6500 gallons of water.a)How many liters of water does the same pool contain?b)How many pounds of water are in the pool?c)How many metric tons of water are in the pool?

Q23. The width of a man's hand was used as a common unit of length several hundred years ago. What are the advantages and disadvantages of using such a unit? Explain. E1. Suppose that a pancake recipe designed to feed three people calls for 600 mL of flour. How many milliliters of flour would you use if you wanted to extend the recipe to feed five people? E7. A crate has a mass of 9.40 kg (kilograms). What is this mass in grams? In milligrams?

Practice) a. To convert feet (ft) to meters (m), the number of feet should be multiplied by which of the following conversion factors? i. 1 m/3.28 ft ii. 3.28 ft/1 m b. To convert sq.in to sq.ft, the number of sq.in should be multiplied by which of the following conversion factors? i. 144 sq.in/1 sq.ft ii. 1 sq.ft/144 sq.in c. To convert sq.yd to sq.ft, the number of sq.yd should be multiplied by which of the following conversion factors? i. 1 sq.yd/9 sq.ft ii. 9 sq.ft/1 sq.yd 3. (Practice) Determine the final units of the following expression: 9.8m/s2 ×100cm/1m×1in/2.54cm×1ft/12in 4. (Practice) a. Determine the conversion factors that can be used to convert miles per gallon (mpg = mi/gal) to kilometers per liter (km/liter), given that 1 liter = 0.22 gallons and 1 kilometer = 0.6214 miles. b. Using the conversion factors you determined in Exercise 4a, convert 25 mpg into km/liter. 5. (Automotive) a. An automobile engine’s performance can be determined by monitoring its rotations per…

a. Multiply (1.359 x 109 m) by (2.4 x 10-¹0 m). Express your answer in scientific notation. b. Divide 1.24 x 108 m by 0.00020 sec. Express your answer in scientific notation and by using a prefix.