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A tank of compressed CO_(2) has a pressure of 5.8 atm and a volume of 150 mL. What is the volume of this gas when the pressure is decreased to 3.1 atm? 280 mL 0.76 mL 311 mL 56 mL

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A tank of compressed CO_(2) has a pressure of 5.8 atm and a volume of 150 mL.
What is the volume of this gas when the pressure is decreased to 3.1 atm?
280 mL
0.76 mL
311 mL
56 mL

A tank of compressed CO_(2) has a pressure of 5.8 atm and a volume of 150 mL. What is the volume of this gas when the pressure is decreased to 3.1 atm? 280 mL 0.76 mL 311 mL 56 mL

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CalebVeteran · Tutor for 12 years

Answer

### 280 mL

Explain

## Step 1: Identify the gas law to use<br />### Use Boyle's Law, which states that for a given mass of gas at constant temperature, the product of pressure and volume is constant: $P_1V_1 = P_2V_2$.<br />## Step 2: Substitute the given values into Boyle's Law<br />### Given: $P_1 = 5.8$ atm, $V_1 = 150$ mL, $P_2 = 3.1$ atm. Find $V_2$.<br />### Equation: $5.8 \times 150 = 3.1 \times V_2$<br />## Step 3: Solve for $V_2$<br />### Rearrange the equation to solve for $V_2$: $V_2 = \frac{5.8 \times 150}{3.1}$<br />### Calculate: $V_2 = \frac{870}{3.1} \approx 280.65$ mL
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