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Hot air balloons float in the air because of the low density of the air inside the balloon. Explain this with the help of an appropriate gas law. - Chemistry

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प्रश्न

Hot air balloons float in the air because of the low density of the air inside the balloon. Explain this with the help of an appropriate gas law.

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उत्तर

The working of a hot air balloon can be explained with the help of Charles’ law. According to Charles’ law, at constant pressure, the volume of a fixed amount of a gas varies directly with the temperature. This means that as the temperature increases, the air inside the balloon expands and occupies more volume. Thus, hot air inside the balloon is less dense than the surrounding cold air. This causes the hot air balloon to float in the air.

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अध्याय 10: States of Matter - Exercises [पृष्ठ १५७]

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बालभारती Chemistry [English] Standard 11 Maharashtra State Board
अध्याय 10 States of Matter
Exercises | Q 2. (J) | पृष्ठ १५७

संबंधित प्रश्न

State the following:

The absolute temperature of a gas at 7°C


Convert the following temperature from degree Celcius to kelvin.

−15° C


Convert the following temperature from degree Celcius to kelvin.

273° C


Convert the following pressure value into Pascals.

10 atmosphere


Convert the following pressure value into Pascals.

1 atmosphere


Convert exactly 1.5 atm to pascals


Consider a sample of a gas in a cylinder with a movable piston.

Show diagrammatically the changes in the position of the piston, if pressure is increased from 1.0 bar to 2.0 bar at a constant temperature.


Match the pairs of the following:

Column ‘A’ Column ‘B’
a. Boyle’s law i. at constant pressure and volume
b. Charles’ law ii. at constant temperature
  iii. at constant pressure

With the help of the graph answer the following -

At constant temperature, Identify the law.


With the help of the graph answer the following -

At constant temperature, Write the statement of law.


Solve the following.

A balloon is inflated with helium gas at room temperature of 25°C and at 1 bar pressure when its initial volume is 2.27L and allowed to rise in the air. As it rises in the air external pressure decreases and the volume of the gas increases till finally, it bursts when external pressure is 0.3bar. What is the limit at which the volume of the balloon can stay inflated?


Solve the following.

A syringe has a volume of 10.0 cm3 at pressure 1 atm. If you plug the end so that no gas can escape and push the plunger down, what must be the final volume to change the pressure to 3.5 atm?


Solve the following.

The volume of a given mass of a gas at 0°C is 2 dm3. Calculate the new volume of the gas at constant pressure when the temperature is decreased by 10°C.


Solve the following.

A hot air balloon has a volume of 2800 m3 at 99°C. What is the volume if the air cools to 80°C?


Solve the following.

At 0°C, a gas occupies 22.4 liters. How much hot must be the gas in celsius and in kelvin to reach a volume of 25.0 liters?


Explain the following observation.

The type of an automobile is inflated to slightly lesser pressure in summer than in winter


Explain the following observation.

The size of a weather balloon becomes larger and larger as it ascends up to larger altitude


A sample of gas at 15°C at 1 atm. has a volume of 2.58 dm3. When the temperature is raised to 38°C at 1 atm does the volume of the gas Increase? If so, calculate the final volume.


A small bubble rises from the bottom of a lake where the temperature and pressure are 6°C and 4 atm. to the water surface, where the temperature is 25°C and pressure is 1 atm. Calculate the final volume in (mL) of the bubble, if its initial volume is 1.5 mL.


Hydrochloric acid is treated with a metal to produce hydrogen gas. Suppose a student carries out this reaction and collects a volume of 154.4 × 10−3 dm3 of a gas at a pressure of 742 mm of Hg at a temperature of 298 K. What mass of hydrogen gas (in mg) did the student collect?


For a given mass of an ideal gas, which of the following statements is CORRECT?


A certain sample of gas has a volume of 0.2 L at one atmosphere pressure and 273.15 K. What is the volume of gas at 273.15°C at same pressure?


Volume of a balloon at 25°C and 1 bar pressure is 2.27 L. If the pressure of the gas in balloon is reduced to 0.227 bar, what is the rise in volume of a gas?


According to Andrews isothermals at what temperature the carbon dioxide gas starts to condense at 73 atmosphere?


A gas occupies a volume of 4.2 dm3 at 101 kPa pressure. What volume will gas occupy if the pressure is increased to 235 kPa keeping the temperature constant?


If 2 moles of an ideal gas at 546 K has volume of 44.8 L, then what will be it's pressure? (R = 0.082)


At what temperature, the volume of gas would become zero?


The number of molecules in 8.96 litres of gas at 0°C and 1 atm. pressure is approximately ______.


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