Question

The volume of 400 cm\(^3\) chlorine gas at 400 mm of Hg is decreased to 200 cm\(^3\) at constant temperature. What is the new pressure of the gas?

• A. 800 mm of Hg
• B. 200 mm of Hg
• C. 1600 mm of Hg
• D. 600 mm of Hg

Hint:

At constant temperature, pressure is inversely proportional to volume.

Answer 1

The Correct Option is A

Step 1: Identifying the law applied.
Since temperature is constant, Boyle’s law is applicable.

Step 2: Writing Boyle’s law expression.
\[ P_1 V_1 = P_2 V_2 \]

Step 3: Substituting given values.
\[ 400 \times 400 = P_2 \times 200 \]

Step 4: Solving for pressure.
\[ P_2 = \frac{160000}{200} = 800 \, \text{mm of Hg} \]

Step 5: Conclusion.
The new pressure of the gas is 800 mm of Hg.