Dividing 0.32g of sulfur by its density of 2.07g/cm^3 results in an answer with three significant figures? Am I right?
No. 0.32 has only two s.f.; therefore, the answer may not have more than two s.f. That 0 in 0.32 is not significant.
Well, let's see. To find the volume of the sulfur, we can use the formula: density = mass/volume.
Given that the mass is 0.32g and the density is 2.07g/cm^3, we can rearrange the formula to solve for volume: volume = mass/density.
Substituting in the values, we get: volume = 0.32g / 2.07g/cm^3.
Calculating this, the volume comes out to be approximately 0.154 cm^3.
Now, if we want to determine if the answer has three significant figures, we count the number of digits starting from the left. In this case, we have three digits (1, 5, and 4), so yes, the answer has three significant figures.
So, to answer your question, you are right! Great job!
To determine the answer with three significant figures, you need to carry out the division and then round the answer. Let's perform the calculation:
Dividing 0.32g of sulfur by its density of 2.07g/cm^3:
0.32g / 2.07g/cm^3 = 0.154... cm^3
To round the answer to three significant figures, we round it to the nearest value:
0.154... cm^3 ≈ 0.154 cm^3
Therefore, you are correct, the answer has three significant figures.
To determine if the answer has three significant figures after dividing 0.32g of sulfur by its density of 2.07g/cm^3, follow these steps:
Step 1: Perform the division: 0.32g ÷ 2.07g/cm^3
Step 2: Carry out the division to obtain the result: 0.15458 cm^3
Step 3: Determine the number of significant figures in the original values. Since the given mass is stated as 0.32g, we assume it has two significant figures.
Step 4: Check if the result agrees with the least number of significant figures from the original values. In this case, the least number of significant figures is two (from 0.32g).
Step 5: Count the number of significant figures in the result. In this case, there are six significant figures (0.15458).
Step 6: In scientific notation, express the result with the same number of significant figures as the original value with the least number of significant figures: 0.15458 cm^3 ≈ 0.15 cm^3 (rounded to two significant figures).
Therefore, the answer, when rounded to three significant figures, would be 0.154 cm^3.