The density of White Soft Paraffin (WSP) is 0.850 g/mL. How much ointment is required to fill a glass jar which has a capacity of 97 mL ?

Question

BlackTom AI · Accepted Answer

Density = mass/volume, so mass = density × volume.

1) Relevant knowledge points and concepts
- Density (ρ) relates mass (m) and volume (V) by ρ = m / V.  
- Rearranged for mass: m = ρ × V.  
- Units: density in g/mL multiplied by volume in mL gives mass in grams (g).  
- Maintain unit consistency and carry appropriate significant figures as needed.

2) Complete reasoning process step by step
- Given ρ (White Soft Paraffin) = 0.850 g/mL and jar capacity V = 97 mL.  
- Use the mass formula m = ρ × V to find how many grams of ointment fill the jar.

3) Calculations with intermediate steps
- m = 0.850 g/mL × 97 mL  
- Compute 97 × 0.850:  
  97 × 0.850 = 97 × (85/100) = (97 × 85) / 100 = 8245 / 100 = 82.45  
- Units: m is in grams, so m = 82.45 g.

4) Why the correct answer is correct
- The multiplication directly follows from the definition of density. Using the given density and the jar volume yields 82.45 g of ointment, and units cancel correctly (g/mL × mL → g). This value exactly matches the provided correct answer.

5) Why the other options are incorrect (briefly)
- a. 76.00 g — does not result from 0.850 × 97; it is too low.  
- c. 114.12 g — significantly higher; would require a density ≈1.177 g/mL, not given.  
- d. 78.90 g and e. 80.45 g — both are numerically close but do not equal 0.850 × 97, so they are incorrect for the given data.

6) Conclusion and confirmation
- Using m = ρ × V gives 0.850 g/mL × 97 mL = 82.45 g. Therefore the correct answer is b. 82.45 g, which matches the provided answer.

The density of White Soft Paraffin (WSP) is 0.850 g/mL. How much ointment is required to fill a glass jar which has a capacity of 97 mL ?单项选择题

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