Question

A gas occupies 500 mL at 1 atm pressure. What will be its volume at 2 atm, temperature constant?

• A. 250 mL
• B. 500 mL
• C. 1000 mL
• D. 750 mL

Hint:

Use Boyle’s Law (\(P_1V_1 = P_2V_2\)) when pressure and volume change but temperature remains constant.

Answer 1

The Correct Option is A

Step 1: Since the temperature is constant, we apply Boyle's Law: \[ P_1 V_1 = P_2 V_2 \] Given:
\(P_1 = 1\) atm, \(V_1 = 500\) mL, \(P_2 = 2\) atm, \(V_2 = ?\)
Step 2: Substitute values into Boyle’s law: \[ 1 \times 500 = 2 \times V_2 \Rightarrow V_2 = \frac{500}{2} = 250 \text{ mL} \] Step 3: Therefore, the new volume at 2 atm is 250 mL.