# The pressure of a sample of argon gas was increased from 3.14 atm to 7.98 at a constant temperature. If the final volume of argon sample was

Question

The pressure of a sample of argon gas was increased from 3.14 atm to 7.98 at a constant temperature. If the final volume of argon sample was 14.2 L what what’s the initial volume of the argon sample? Assume ideal behavior

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1 year 2021-08-31T01:42:11+00:00 1 Answers 10 views 0

## 36.09 L

Explanation:

The initial volume can be found by using the formula for Boyle’s law which is

$$P_1V_1 = P_2V_2$$

where

P1 is the initial pressure

P2 is the final pressure

V1 is the initial volume

V2 is the final volume.

Since we’re finding the initial volume

$$V_1 = \frac{P_2V_2}{P_1} \\$$

We have

$$V_1 = \frac{7.98 \times 14.2}{3.14} = \frac{113.316}{3.14} \\ = 36.0878…$$

We have the final answer as

### 36.09 L

Hope this helps you