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MHT CET 202625 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
25 April
Shift
Evening Shift
Subject
Chemistry
Chapter
States of Matter

MHT CET 2026 · 25 April · Evening Shift · Chemistry · States of Matter

A bubble of air is underwater at temperature 15\ ^ ^ C and the...

A bubble of air is underwater at temperature 15\ ^{}^{\circ}\text{C} and the pressure 1.5 bar1.5\ \text{bar}. If the bubble rises to the surface where the temperature is 25\ ^{}^{\circ}\text{C} and the pressure is 1.0 bar1.0\ \text{bar}, what will happen to the volume of the bubble?

Options

  1. AVolume will become greater by a factor of 1.61.6.
  2. BVolume will become greater by a factor of 1.11.1
  3. CVolume will become smaller by a factor of 0.700.70
  4. DVolume will become greater by a factor of 2.52.5

Correct answer

A. Volume will become greater by a factor of 1.61.6.

Step-by-step solution

Let the initial volume of the bubble be V1V_1.

Initial conditions (underwater):
P1=1.5 barP_1 = 1.5\ \text{bar}
T_1 = 15\ ^{}^{\circ}\text{C} = 15 + 273 = 288\ \text{K}

Final conditions (at the surface):
P2=1.0 barP_2 = 1.0\ \text{bar}
T_2 = 25\ ^{}^{\circ}\text{C} = 25 + 273 = 298\ \text{K}

Using the combined gas law equation:
P1V1T1=P2V2T2\dfrac{P_1 V_1}{T_1} = \dfrac{P_2 V_2}{T_2}

Substituting the given values:
1.5×V1288=1.0×V2298\dfrac{1.5 \times V_1}{288} = \dfrac{1.0 \times V_2}{298}

V2=1.5×298288V1V_2 = \dfrac{1.5 \times 298}{288} V_1

V2=1.5×1.0347V1V_2 = 1.5 \times 1.0347 V_1

V2≈1.552V1≈1.6V1V_2 \approx 1.552 V_1 \approx 1.6 V_1

The volume will become greater by a factor of 1.61.6.

Answer: Volume will become greater by a factor of 1.61.6.
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