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` ?

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 .

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?

An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27 ^@C . After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to 17 ^@C . Estimate the mass of oxygen taken out of the cylinder ( R= 8.31 J mol^-1 K^-1 ’, molecular mass of O_2 = 32 u)

The radius of an air bubble is increasing at the rate of 1/2 cm/s . At what rate is the volume of the bubble increasing when the radius is 1 cm?

At what temperature (in (^@C) ) will the speed of sound in air be 3 times its value at 0^@C ?

A steel tape 1 metre long is correctly calibrated for temperature of 27.0^@C . The length of a steel rod measured by this tape is found to be 63.0 cm on a h ot day when the temperature is 45^@C . What is the actual length of the steel rod on that day? What is the length of the same steel rod on a day when the temperature is 27.0^@C ? Coefficient of linear expansion of steel = 1.20 xx 10^-5 C^-1 .

A gas occupies 200mL at a pressure of 0.820 bar at 20 o C. How much volume will it occupy when it is subjected to external pressure of 1.025 bar at the same temperature?

A high-altitude balloon is filled with 1.41xx10^(4)L of hydrogen at a temperature of 21^(@)C and a pressure of 745 torr. What is the volume of the balloon at a height of 20 km, where the temperature is -48^(@)C and the pressure is 63.1 torr?

A compressed cylinder of gas contains 1.50xx10^(3) g of N_(2) gas at a pressure of 2.0xx10^(7) Pa and a temperature of 17.1^(@)C . What volume of gas has been released into the atmosphere if the final pressure in the cylinder is 1.80xx10^(5) Pa ? Assume ideal behaviour and that the gas temperature is unchanged.