Q106 / 200 · MHT CET - Medical 2026 (24 April Shift 2) · Chemistry
A steel cylinder of $8$ litres capacity contain hydrogen gas at $12\ \text{atm}$ pressure, At same temperature, how many cycle tubes of $4$ litre capacity at $2\ \text{atmphere}$ can be filled up with this gas ?
- Correct answerA$12$
- B$48$
- C$5$
- D$8$
Solution
Using Boyle's law at constant temperature, $P_1 V_1 = P_2 V_2$
Substituting the given values:
$12 \times 8 = 2 \times V_2$
$V_2 = 48\ \text{L}$
This is the total volume of the gas at $2\ \text{atm}$ pressure.
Number of cycle tubes that can be filled $= \dfrac{\text{Total volume}}{\text{Volume of one tube}}$
Number of cycle tubes $= \dfrac{48}{4} = 12$
Answer: $12$
Substituting the given values:
$12 \times 8 = 2 \times V_2$
$V_2 = 48\ \text{L}$
This is the total volume of the gas at $2\ \text{atm}$ pressure.
Number of cycle tubes that can be filled $= \dfrac{\text{Total volume}}{\text{Volume of one tube}}$
Number of cycle tubes $= \dfrac{48}{4} = 12$
Answer: $12$
Hence, the correct answer is option: 'A'.