Question
At th e sta rt of an ex perim ent, s ome chemic als ha d a ma ss of 84g, roun ded t o 2 sig nifica nt fig ures. During the ex perim ent, th e mas s of the che mical s decr ease d by 6.2 g, roun ded t o 2 sig nifica nt fig ures. Calculat e the lo wer a nd uppe r bou nds of the mass of th e chem Icals a t the end o f the e xperime nt.
Answer
4.1
(208 Votes)
Nia
Elite · Tutor for 8 years
Answer
The lower and upper bounds of the mass of the chemicals at the end of the experiment are
g and
g, respectively.
Explanation
## Step 1: Determine the bounds for the initial mass.### **The initial mass is given as 84g, rounded to 2 significant figures.**- Lower bound:
g (since
g rounds up to
g)- Upper bound:
g (since
g rounds down to
g)## Step 2: Determine the bounds for the decrease in mass.### **The decrease in mass is given as 6.2g, rounded to 2 significant figures.**- Lower bound:
g (since
g rounds up to
g)- Upper bound:
g (since
g rounds down to
g)## Step 3: Calculate the bounds for the final mass.### **To find the final mass, subtract the bounds of the decrease in mass from the bounds of the initial mass.**- Lower bound of final mass:
g -
g =
g- Upper bound of final mass:
g -
g =
g