Unit conversions (dimensional analysis) Knowledge-Based Download PDF

Questions

1. 1.

   A chemical feed system injects a reagent at a rate of 2.50 lb/h. What is this rate expressed in grams per second (g/s), given that 1 lb = 453.6 g?

   • A) 0.00551 g/s
   • B) 0.315 g/s
   • C) 18.9 g/s
   • D) 1,130 g/s
2. 2.

   At room temperature, the average speed of a nitrogen molecule in air is 515 m/s. What is this speed expressed in miles per hour (mi/h), given that 1 mi = 1.609 km?

   • A) 0.320 mi/h
   • B) $1.15 \times 10^3$ mi/h
   • C) $1.85 \times 10^3$ mi/h
   • D) $2.98 \times 10^3$ mi/h
3. 3.

   A thin protective polymer coating on a chemical sensor has an areal density of 0.0350 mg/cm². What is this areal density expressed in grams per square meter (g/m²)?

   • A) 0.00350 g/m²
   • B) 0.0350 g/m²
   • C) 0.350 g/m²
   • D) 3.50 g/m²
4. 4.

   A clinical laboratory reports a blood calcium concentration of 9.20 mg/dL. What is this concentration expressed in grams per liter (g/L)?

   • A) 0.00920 g/L
   • B) 0.920 g/L
   • C) 9.20 g/L
   • D) 0.0920 g/L
5. 5.

   A sample of neon gas is stored at a pressure of 1.75 atm. What is this pressure expressed in kilopascals (kPa), given that 1 atm = 101.325 kPa?

   • A) 57.9 kPa
   • B) 177 kPa
   • C) 0.0173 kPa
   • D) 1770 kPa
6. 6.

   A solid metal block has a volume of 4.50 $\text{in}^3$. What is its volume expressed in cubic centimeters ($\text{cm}^3$), given that 1 in = 2.54 cm?

   • A) 73.7 $\text{cm}^3$
   • B) 11.4 $\text{cm}^3$
   • C) 29.0 $\text{cm}^3$
   • D) 0.275 $\text{cm}^3$
7. 7.

   A chemical reaction releases 8.50 kJ of thermal energy. What is this quantity of energy expressed in calories (cal), given that 1 cal = 4.184 J?

   • A) 3.56 × 10⁴ cal
   • B) 2.03 × 10³ cal
   • C) 2.03 cal
   • D) 35.6 cal
8. 8.

   The wavelength of light absorbed by a dye solution is 585 nm. What is this wavelength expressed in centimeters (cm)?

   • A) $5.85 \times 10^{-7}\text{ cm}$
   • B) $5.85 \times 10^{-5}\text{ cm}$
   • C) $5.85 \times 10^{-9}\text{ cm}$
   • D) $5.85 \times 10^{-11}\text{ cm}$
9. 9.

   An automated titration system dispenses a standard solution at a rate of 12.0 mL/min. What is this dispensing rate expressed in liters per hour (L/h)?

   • A) 0.0120 L/h
   • B) 0.200 L/h
   • C) 720 L/h
   • D) 0.720 L/h
10. 10.

    A liquid sample has a density of 0.789 g/mL. What is the density of this liquid expressed in kg/m³?

    • A) 789 kg/m³
    • B) 0.789 kg/m³
    • C) 7.89 × 10⁴ kg/m³
    • D) 7.89 × 10⁻⁴ kg/m³