This is a sig fig question, not a calculation. Given, at constant n and T: P1 = 1.3 atm, V, = 25.0 L, and P2 = 20 atm, the value of V2 is calculated to be 1.625 L. How would you express V2 to the correct number of sig figs? %3D Select one: O 1.62 L O 1.625 L O 1.6 L O 2 L O 2.0L

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### Significant Figures in Scientific Calculations

This question focuses on expressing a calculated value with the correct number of significant figures (sig figs). 

**Problem Statement:**
Given, at constant n (amount of substance) and T (temperature):
- \( P_1 = 1.3 \, \text{atm} \)
- \( V_1 = 25.0 \, \text{L} \)
- \( P_2 = 20 \, \text{atm} \)

The value of \( V_2 \) is calculated to be 1.625 L. How would you express \( V_2 \) to the correct number of sig figs?

**Options:**

- 1.62 L
- 1.625 L
- **1.6 L**  (This option is selected)
- 2 L
- 2.0 L

**Explanation:**
The number of significant figures is crucial when reporting scientific measurements and calculations. In this scenario, the pressures \( P_1 \) and \( P_2 \) have two significant figures (1.3 and 20), and the initial volume \( V_1 \) has three significant figures (25.0). When calculating or expressing the result \( V_2 \), it must be reported with the same number of significant figures as the measurement with the fewest significant figures, which is 2. Hence, the correct expression of \( V_2 \) is 1.6 L.
Transcribed Image Text:### Significant Figures in Scientific Calculations This question focuses on expressing a calculated value with the correct number of significant figures (sig figs). **Problem Statement:** Given, at constant n (amount of substance) and T (temperature): - \( P_1 = 1.3 \, \text{atm} \) - \( V_1 = 25.0 \, \text{L} \) - \( P_2 = 20 \, \text{atm} \) The value of \( V_2 \) is calculated to be 1.625 L. How would you express \( V_2 \) to the correct number of sig figs? **Options:** - 1.62 L - 1.625 L - **1.6 L** (This option is selected) - 2 L - 2.0 L **Explanation:** The number of significant figures is crucial when reporting scientific measurements and calculations. In this scenario, the pressures \( P_1 \) and \( P_2 \) have two significant figures (1.3 and 20), and the initial volume \( V_1 \) has three significant figures (25.0). When calculating or expressing the result \( V_2 \), it must be reported with the same number of significant figures as the measurement with the fewest significant figures, which is 2. Hence, the correct expression of \( V_2 \) is 1.6 L.
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