Question

The volume of a gas at 30 °C temperature and 760 mm of Hg pressure is 100 cc. Then its volume at the same temperature and 400 mm of Hg is

• A. 190 cc
• B. 210 cc
• C. 150 cc
• D. 120 cc

Hint:

Boyle's Law: \( P_1V_1 = P_2V_2 \) holds when temperature is constant.
Always convert units consistently — here mmHg and cc can be used directly as long as they’re consistent.
Useful for estimating how volume changes when pressure is altered under isothermal conditions.

Answer 1

The Correct Option is A

Given the temperature is constant, apply Boyle's Law: \[ P_1V_1 = P_2V_2 \] \[ 760 \times 100 = 400 \times V_2 \Rightarrow V_2 = \frac{760 \times 100}{400} = 190\ \text{cc} \]