In: Chemistry
Complete the following conversions using dimensional analysis
1. 320 pennies to number of nickels
2. 320 nickels to number of American dollars
3. 750cm to feet
4. 750cm to miles
5. 316nm to yards
6. 12 meters/seconds to miles/hour
7. $9.50/hour to pennies/day
8. 3.5 millimeters/min to liters/hour
9. 35 centimeters/day to meters/second
10. 35 meters/seconds to miles/year
Please explain every step to help me better understand. Also, please, type out your responses so I can legibly read. Thank you so much.
1) By the general calculation
1 pennies is equal to 0.2 nickels
320 pennies = 64 nickels
2) 1 nickels = 0.05 dollars
320 nickels = 16 dollars
3) 1 cm = 0.03280839895 ft
750 cm = 24.606299213 ft
4) 1 centimetre = 6.214*10^-6 miles
750 cm = 0.0046605 miles
5) 1 millimetre = 0.00109361 yard
316 nm = 0.345582 yard
6) 1 meter/second = 2.23694 miles/hour
12 meter/second = 26.8432 miles/ hour
8) 1 millimetrs per minute = 0.060 liters per hour
3.5 millimetres / min = 0.21 liters/ hour
9) 1 centimetres/day = 1.157*10^-7 meters/second
35 centimetres/day = 4.0509*10^-6 meters/second
10) 1 meter per second = 19595.562 miles per year
35 meters/ seconds = 685845 miles/ year