If more air is pushed in a soap bubble, the pressure in it
(A) decreases
(B) becomes zero
(C) remains same
(D) increases
Answer
641.1k+ views
Hint: we can use the information that if the size of the control volume increases, the pressure experienced by the particles present in the control volume becomes less. Also, we can use the expression of the excess pressure of the bubble for the determination of the correct answer.
Complete step by step solution:
As we know, the ideal gas equation gives information about pressure and volume. So, with the help of the ideal gas equation, we can say that the pressure relates inversely with the volume, it means that if we increase the control volume upto a certain amount, then the pressure in the control volume will decrease.
The soap bubble acts as control volume, and the particles present in the soap bubble feel some amount of pressure. If more air is pushed in a soap bubble, then the soap bubble expansion takes place, and its volume increases. Due to this expansion, the radius of the soap bubble increases. Using the relation of pressure and volume, we can say that pressure inside the bubble will decrease if volume increases. Also, from the expression of the bubble's excess pressure, we can determine whether pressure increases, decreases, or remains the same inside the bubble. In the expression, the excess pressure relates inversely with the radius of the bubble. So the radius of the bubble increases during expansion, so the large value of radius will give less pressure.
Therefore, if more air is pushed in a soap bubble, the pressure in the soap bubble decreases
So, the correct answer is “Option A”.
Note:
Remember that we can obtain the excess pressure of the soap bubble by taking the ratio of the four times of surface tension and bubble radius. In the ratio, the value of the soap radius comes in denominator and the value of surface tension comes in the numerator.
Complete step by step solution:
As we know, the ideal gas equation gives information about pressure and volume. So, with the help of the ideal gas equation, we can say that the pressure relates inversely with the volume, it means that if we increase the control volume upto a certain amount, then the pressure in the control volume will decrease.
The soap bubble acts as control volume, and the particles present in the soap bubble feel some amount of pressure. If more air is pushed in a soap bubble, then the soap bubble expansion takes place, and its volume increases. Due to this expansion, the radius of the soap bubble increases. Using the relation of pressure and volume, we can say that pressure inside the bubble will decrease if volume increases. Also, from the expression of the bubble's excess pressure, we can determine whether pressure increases, decreases, or remains the same inside the bubble. In the expression, the excess pressure relates inversely with the radius of the bubble. So the radius of the bubble increases during expansion, so the large value of radius will give less pressure.
Therefore, if more air is pushed in a soap bubble, the pressure in the soap bubble decreases
So, the correct answer is “Option A”.
Note:
Remember that we can obtain the excess pressure of the soap bubble by taking the ratio of the four times of surface tension and bubble radius. In the ratio, the value of the soap radius comes in denominator and the value of surface tension comes in the numerator.
Recently Updated Pages
Difference Between Prokaryotic Cells and Eukaryotic Cells

If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

Trending doubts
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Find the value of the expression given below sin 30circ class 11 maths CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Proton was discovered by A Thomson B Rutherford C Chadwick class 11 chemistry CBSE

Bond order ofO2 O2+ O2 and O22 is in order A O2 langle class 11 chemistry CBSE

