An engineer attempted to compute the mass of coolant required to fill a cylindrical…
CHEMISTRY · Multi-part · AP · Chemistry · Atomic Structure and Properties · Atomic Structure and Properties
Problem
An engineer attempted to compute the mass of coolant required to fill a cylindrical tank of volume 3.50m3. The engineer worked from a supplier’s data sheet that lists the coolant density as 0.92gcm−3. The following excerpt shows the engineer’s calculation steps:
Step 1 0.92gcm−3=0.92×103kgm−3
Step 2 Mass =(0.92×103kgm−3)(3.50m3)=3.22×103kg
A quality‐control auditor questions the unit conversion in Step 1.
Address the following tasks.
(a) Re‐evaluate the conversion performed in Step 1. Identify any numerical or unit errors and provide the correct conversion from 0.92gcm−3 to kgm−3.
(b) Using your corrected density, recalculate the mass of coolant needed for the tank.
(c) Explain in detail how an incorrect unit conversion in Step 1 propagates through subsequent calculations and describe potential practical consequences in an engineering context.
(d) Propose at least one method engineers can implement to verify unit consistency in complex, multi‐step calculations before finalizing results.