Final answer:
To calculate the answer, multiply the given quantities and perform a subtraction. Then, round the answer to the proper number of significant figures. The answer, rounded correctly according to significant figures, is approximately 1.45 × 10-7 Jg.
Step-by-step explanation:
To answer the question regarding significant figures, the calculation is 1.012×10−3 J × (0.012456 g) × (298.3682 K − 298.3567 K) = J·g·K. First, perform the subtraction in parentheses to determine the temperature change, then multiply all the values together.
In this calculation, we need to perform the following steps:
- Multiply 1.012 × 10-3 J with 0.012456 g.
- Subtract 298.3567 from 298.3682.
- Multiply the result of step 1 with the result of step 2.
- Report the answer using the proper number of significant figures.
Let's perform the calculation:
- 1.012 × 10-3 J × 0.012456 g ≈ 1.259 × 10-5 Jg
- 298.3682 - 298.3567 ≈ 0.0115
- 1.259 × 10-5 Jg × 0.0115 ≈ 1.45 × 10-7 Jg