Q6 / 150 · MHT CET 2026 (16 April Shift 2) · Chemistry
At constant temperature, a gas occupies a volume of 200 mL at a pressure of 500 mm Hg. What will be its volume at 800 mm Hg pressure?
- A$280\ \text{mL}$
- Correct answerB$125\ \text{mL}$
- C$100\ \text{mL}$
- D$350\ \text{mL}$
Solution
According to Boyle's law, at constant temperature, $P_1 V_1 = P_2 V_2$.
Given $P_1 = 500\ \text{mm Hg}$, $V_1 = 200\ \text{mL}$, and $P_2 = 800\ \text{mm Hg}$.
Substituting the values:
$500 \times 200 = 800 \times V_2$
$V_2 = \dfrac{500 \times 200}{800} = 125\ \text{mL}$
Answer: $125\ \text{mL}$
Given $P_1 = 500\ \text{mm Hg}$, $V_1 = 200\ \text{mL}$, and $P_2 = 800\ \text{mm Hg}$.
Substituting the values:
$500 \times 200 = 800 \times V_2$
$V_2 = \dfrac{500 \times 200}{800} = 125\ \text{mL}$
Answer: $125\ \text{mL}$
Hence, the correct answer is option: 'B'.