Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Given:
T1 = Initial temperature = 0°C = 0 + 273.15 = 273.15 K,
V1 = Initial volume = 2 dm3
T2 = Final temperature = 273.15 K − 10 = 263.15 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=(2xx263.15)/273.15` = 1.927 dm3
The new volume of a given mass of gas is 1.927 dm3
APPEARS IN
संबंधित प्रश्न
Explain Why?
"When stating the volume of a gas, the pressure and temperature should also be given."
What would be the mass of CO2 occupying a volume of 44 litres at 25°C and 750 mm pressure.
State (i) the three variables for gas laws and (ii) SI units of these variables.
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.
1 kPa
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.
Identify the gas laws from the following diagram.
| Diagram | Gas laws |
 |
______________ |
Identify the gas laws from the following diagram.
| Diagram | Gas laws |
 |
______________ |
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.
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 400 K to 300 K, and pressure is decreased from 4 bar to 3 bar.
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 |
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.
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
Explain the following observation.
Aerated water bottles are kept under water during summer
Explain the following observation.
The size of a weather balloon becomes larger and larger as it ascends up to larger altitude
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.
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, the minimum temperature at which carbon dioxide gas obeys Boyles law is ______.
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?
At what temperature the volume of a gas becomes absolutely zero?
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?
Identify the correct relationship between pressure (P), density (d), molar mass (M) and Temperature (T) for an ideal gas from the following.
