Convert each of the following to the appropriate SI unit, with appropriate significant digits, and with appropriate use of scientific notation. Note: always use XXXXXXXXXXdays per year (10 marks): a...

Convert each of the following to the appropriate SI unit, with appropriate significant digits, and with appropriate use of scientific notation. Note: always use XXXXXXXXXXdays per year (10 marks): a XXXXXXXXXXyears: b) XXXXXXXXXX tonnes: c XXXXXXXXXXnm: d) 140,000,000 Mg/km3 : e XXXXXXXXXXm2 : 2. How many significant digits are in each of the following values? (5 marks) a XXXXXXXXXXb XXXXXXXXXXc XXXXXXXXXXd XXXXXXXXXXe) 5.67*106 2 of 4 3. Answer the following arithmetic questions, with a final response in the correct SI units (where necessary). Use scientific notation where appropriate only. (14 marks) a XXXXXXXXXXg XXXXXXXXXXmg = b XXXXXXXXXXkm – 350.7 m = c) 23.1 m XXXXXXXXXXha = d XXXXXXXXXXcm3 ÷ 6 cm2 = e) 100 W m-2 x 4.56 J s-1 m-2 – XXXXXXXXXXW m-2 = f) 1.02x106 km2 ÷ 1.02x106 km2 = g XXXXXXXXXXdm XXXXXXXXXXdm) ÷ 1.00 years = 4. If the surface area of the earth is 510,100,000 km2 what is the radius of the earth (in metres)? (Assume: the earth is a sphere, the surface area of a sphere is 4pr 2 , and p = XXXXXXXXXXIf you were able to travel this distance in 6.15 days, how fast would your average speed be (in km h-1 )? (5 marks) 3 of 4 B. Understanding units in hydrologic and soil science problem solving (20 marks): Provide answers to the following problems. Show all of your work and remember significant figures. If there are units you are unfamiliar with, look them up (your practical guidebook is a particularly good resource). EACH QUESTION = 4 MARKS. 1. Rain falls onto a 4.0 km2 watershed at a rate of 2 mm hr-1 , for a total of 11.5 hours. If water is known to be 1000 L m-3 , how many litres of rain fell on the watershed during the entire rainstorm? 2. If Highland Creek flows out of its watershed (same area as above) at a rate of 4.37 x 10-7 km3 hr-1 , what is the total runoff (in mm) over 1.167 days? 3. Soil erodes away from a farmer’s field at a rate of 13.67 metric tonnes ha-1 yr-1 . In 3.05 years, how much soil (in kg) will have eroded from 4.61 acres? 4 of 4 4. If this same soil were 68.92 cm thick and with a density of 1.25 g cm-3 , how long would it take to erode away the entire 4.61 acres? 5. Water is vapourized and blown into a balloon until the total balloon volume is 568 cubic inches. A total of 2.09 L of water vapour was blown in. Presuming everything is at standard pressure and temperature, 1000 L of water has a mass of 1 metric tonne. What is the density of water vapour in the balloon in units of kg m-3 ? If the density of water at saturation vapour pressure under these conditions is 3 x 102 kg m-3 , what is the relative humidity (%) within the balloon? Tutorial Attendance (/5)