Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
Explain Why?
"When stating the volume of a gas, the pressure and temperature should also be given."
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.
25° C
Convert the following temperature from degree Celcius to kelvin.
−197° C
Convert the following pressure value into Pascals.
107000 Nm−2
Convert exactly 1.5 atm to pascals
Convert 101.325 kPa to bar.
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, the Graph shows the relationship between pressure and volume. Represent the relation mathematically.
With the help of the graph answer the following -
At constant temperature, Write the statement of law.
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.
Use of hot air balloon in sports and meteorological observation is an application of
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
State Boyle's law.
Explain the following observation.
The type of an automobile is inflated to slightly lesser pressure in summer than in winter
Of two samples of nitrogen gas, sample A contains 1.5 moles of nitrogen in a vessel of the volume of 37.6 dm3 at 298 K, and sample B is in a vessel of volume 16.5 dm3 at 298 K. Calculate the number of moles in sample B.
Sulphur hexafluoride is a colourless, odourless gas; calculate the pressure exerted by 1.82 moles of the gas in a steel vessel of volume 5.43 dm3 at 69.5 °C, assuming ideal gas behaviour
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?
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 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)
10 g of gas at one atomospheric pressure is cooled from 273.15°C to 0°C keeping the volume constant. What is the final pressure?
At what temperature, the volume of gas would become zero?
