Advertisements
Advertisements
Question
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?
Advertisements
Solution
Given:
V1 = Initial volume = 2800 m3,
T1 = Initial temperature = 99°C = 99 + 273.15 = 372.15 K,
T2 = Final temperature = 80°C = 80 + 273.15 K = 353.15 K
To find: V2 = Final volume
Formula: `"V"_1/"T"_1="V"_2/"T"_2` (at constant n and P)
Calculation:
According to Charles’ law,
`"V"_1/"T"_1="V"_2/"T"_2` (at constant n and P)
∴ V2 = `("V"_1"T"_2)/"T"_1=(2800xx353.15)/372.15` = 2657 m3
The volume of the balloon when the air cools to 80°C is 2657 m3
APPEARS IN
RELATED QUESTIONS
What would be the mass of CO2 occupying a volume of 44 litres at 25°C and 750 mm pressure.
Answer in one sentence.
A bubble of methane gas rises from the bottom of the North sea. What will happen to the size of the bubble as it rises to the surface?
Convert the following temperature from degree Celcius to kelvin.
−15° C
Convert the following temperature from degree Celcius to kelvin.
25° C
Convert the following temperature from degree Celcius to kelvin.
−197° C
Convert the following pressure value into Pascals.
10 atmosphere
Convert −100° C to kelvin
Convert 0.124 torr to the standard atmosphere
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.
Consider a sample of a gas in a cylinder with a movable piston.
Show diagrammatically the changes in the position of the piston, if the temperature is decreased from 300 K to 150 K at constant pressure.
Write the statement for Boyle’s law
Write the statement for Charles’ law
With the help of the graph answer the following -
At constant temperature, the Graph shows the relationship between pressure and volume. Represent the relation mathematically.
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?
Assertion: Critical temperature of CO2 is 304 K, it can be liquefied above 304 K.
Reason: For a given mass of gas, volume is to directly proportional to pressure at constant temperature
Explain the following observation.
Liquid ammonia bottle is cooled before opening the seal
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 sample of gas has a volume of 8.5 dm3 at an unknown temperature. When the sample is submerged in ice water at 0°C, its volume gets reduced to 6.37 dm3. What is its initial temperature?
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.
At 25°C and 1 atm, a cylinder containing 10 L of an ideal gas is connected to the empty cylinder with a capacity of 20 L. The pressures exerted by gas m both the cylinders will be ____________.
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?
According to Andrews isothermals at what temperature the carbon dioxide gas starts to condense at 73 atmosphere?
A certain mass of a gas occupies a volume of 2 dm3 at STP. At what temperature the volume of gas becomes double, keeping the pressure constant?
At what temperature the volume of a gas becomes absolutely zero?
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?
The volume of 400 cm3 chlorine gas at 400 mm of Hg is decreased to 200 cm3 at constant temperature. What is the new pressure of gas?
If 300 mL of a gas at 26.85°C is cooled to 6.85°C at constant pressure. What will be the final volume of gas?
The number of molecules in 8.96 litres of gas at 0°C and 1 atm. pressure is approximately ______.
