Question

What is the temperature in the options given below. can increase air bubbles volume twice at constant pressure.
a. delta T = 2T2
b. delta T = 2T1
c. delta T = T2
d. delta T = T1​

Answer 1

Answer:

option c

Explanation:

because the air bubbles pressure remains constant

Answer 2

Answer:

The correct answer among the given option is (d) i.e.ΔT=T₁.

Explanation:

At constant pressure, volume and temperature relation is given as,

$\frac{V_1}{T_1}= \frac{V_2}{T_2}$       (1)

Where,

V₁=initial volume of the bubble

T₁=initial temperature of the bubble

V₂=final volume of the bubble

T₂=final temperature of the bubble

Let's consider that,

$V_1=V$

$V_2=2V$

Let's consider the initial temperature of the bubble as T₁. By substituting the required values in the equation (1) we get;

$\frac{V}{T_1}= \frac{2V}{T_2}$

$T_2=2T_1$   (2)

An increase in temperature of the air bubble is given as,

$\Delta T=T_2-T_1$      (3)

By substituting equation (2) in equation (3) we get;

$\Delta T=2T_1-T_1$

$\Delta T=T_1$

Hence, the correct answer among the given option is (d) i.e.ΔT=T₁.