Question

The adjoining figure shows graph of pressure and volume of a gas at two temperatures $T_{1}$and $T_{2}$. Which of the following interferences is correct

• A. (a) $T_{1} > T_{2}$
• B. $T_{1} = T_{2}$
• C. $T_{1} < T_{2}$
• D. No interference can be drawn

Answer 1

Answer: (D)

No interference can be drawn

Answer 2

According to Boyle’s law multiplication of pressure and volume will remains constant at the bottom and top.

If P is the atmospheric pressure at the top of the lake and the volume of bubble is V then from$P_{1}V_{1} = P_{2}V_{2}$

$(P + h\rho g)V_{0} = PV$ ⇒ $V = \left( \frac{P + h\rho g}{P} \right)V_{0}$

∴ $V = V_{0}\left\lbrack 1 + \frac{\rho gh}{P} \right\rbrack$