Home
Class 11
PHYSICS
An air bubble of volume 1.0 cm^(3) rises...

An air bubble of volume `1.0 cm^(3)` rises from the bottom of a lake 40 m deep at a temperature of `12^(@) C`. To what volume does it grow when it reaches the surface, which is at a temperature of `35^(@) C`. ? Given `1 atm = 1.01 xx 10^(5) Pa`.

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the combined gas law, which relates the pressure, volume, and temperature of a gas. The formula we will use is: \[ \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \] ### Step 1: Identify the given values - Initial volume of the bubble, \( V_1 = 1.0 \, \text{cm}^3 \) ...
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY

    NCERT ENGLISH|Exercise EXERCISE|14 Videos
  • GRAVITATION

    NCERT ENGLISH|Exercise EXERCISE|25 Videos
  • LAWS OF MOTION

    NCERT ENGLISH|Exercise EXERCISE|40 Videos

Similar Questions

Explore conceptually related problems

An air bubble of 20 cm^3 volume is at the bottom of a lake 40 m deep where the temperature is 4^@ C . The bubble rises to the surface which is at a temperature of 20 ^@ C . Take the temperature to be the same as that of the surrounding water and find its volume just before it reaches the surface.

A small bubble rises from the bottom of a lake, where the temperature and pressure are 8^(@)C and 6.0 atm , to the water's surface, where the temperature is 25^(@)C and pressure is 1.0 atm . Calculate the final volume of the bubble if its initial volume was 2mL .

An air bubble of radius 2.0mm is formed at the bottom of a 3.3m deep river. Calculate the radius of the bubble as it comes to the surface. Atmospheric pressure =1.0xx10^(5)Pa and desnity of water =1000kg m^(-3).

Bottom of a lake is at 0^(@)C and atmospheric temperature is -20^(@)C . If 1 cm ice is formed on the surface in 24 h, then time taken to form next 1 cm of ice is

An air bubble starts rising from the bottom of a lake. Its diameter is 3.6 mm at the bottom and 4 mm at the surface. The depth of the lake is 250 cm and the temperature at the surface is 40^@ C . What is the temperature at the bottom of the lake? Given atmospheric pressure = 76 cm of Hg and g = 980 cm//s^2 .

A steel ruler exactly 20 cm long is graduated to give correct measurements at 20^@C . (a) Will it give readings that are too long or too short at lower temperatures? (b) What will be that actual length of the ruler when it is used in the desert at a temperature of 40^@ C ? alpha_(steel = 1.2 xx 10^-5(.^@ C)^-1 .

A steel rular exactly 20 cm long is graduated to give correct measurements at 20^@C . (a) Will it give readings that are too long or too short at lower temperatures? (b) What will be that actual length of the rular when it is used in the desert at a temperature of 40^@ C ? alpha_(steel) = 1.2 xx 10^-5(.^@ C)^-1 .

A bubble of gas released at the bottom of a lake increases to four times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water 10 m high, what is the depth of the lake?

A bubble of gas released at the bottom of a lake increases to four times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water 10 m high, what is the depth of the lake?