Home
Class 11
PHYSICS
One mole of a gas at 27^(@)C and 3 atmos...

One mole of a gas at `27^(@)C` and 3 atmospheric pressure is compressed to 1/3 of its volume (a) slowly (b) suddenly. What is the resulting temperature ? `gamma =1 .4.`

Text Solution

AI Generated Solution

To solve the problem step by step, we will analyze both parts (a) and (b) of the question regarding the compression of the gas. ### Given Data: - Initial temperature \( T_1 = 27^\circ C = 300 \, K \) (converted to Kelvin) - Initial pressure \( P_1 = 3 \, atm \) - Volume is compressed to \( \frac{1}{3} \) of its original volume. - \( \gamma = 1.4 \) ...
Promotional Banner

Topper's Solved these Questions

  • INTERNAL ENERGY

    ICSE|Exercise CONCEPTUAL SHORT ANSWER QUESTIONS WITH ANSWERS |17 Videos

  • INTERNAL ENERGY

    ICSE|Exercise LONG ANSWER QUESTIONS |8 Videos

  • INTERNAL ENERGY

    ICSE|Exercise SOLVED EXAMPLES |9 Videos

  • GRAVITATION

    ICSE|Exercise FROM THE HUBBLE TELESCOP|2 Videos

  • MOTION IN FLUIDS

    ICSE|Exercise SELECTED PROBLEMS (FROM POISEUILLE.S FORMULA) |19 Videos

Similar Questions

Explore conceptually related problems

A tyre pumped to a pressure 3.375 atm "at" 27^(@)C suddenly bursts. What is the final temperature (gamma = 1.5) ?

A certain amount of a gas at 27^(@)C and 1 atmospheric pressure occupies a volume of 25dm^(3) . If the pressure is kept constant and the temperature is raised to 77^(@)C , what would be the volume of the gas ?

A gas is suddenly compressed to 1/4th of its original volume. Caculate the rise in temperature when original temperature is 27^(@)C. gamma= 1.5 .

The volume of a given mass of gas at NTP is compressed adiabatically to 1/5th of its original volume. What is the new pressure ? gamma =1.4.

The volume of a given mass of gas is 20 litre at 300K and 1 atmosphere pressure .At what pressure will the volume of the gas be 1 litre at the same temperature ?

Volume occupied by an ideal gas at one atmospheric pressure and 0^@C is V ml. Its volume at 273 K will be

A monoatomic gas at pressure P_(1) and volume V_(1) is compressed adiabatically to 1/8th of its original volume. What is the final pressure of gas.

An ideal gas at 27^(@)C is compressed adiabatically to 8//27 of its original volume. If gamma = 5//3 , then the rise in temperature is

A quantity of dry air at 27 ^(@)C is compressed (a) slowly and (b) suddenly to 1/3 of its volume. Find the change in temperature in both case assuming y = 1.4 for dry air.

A tyre has air pumped at a pressure of 4 atmosphere at the room temperature 27^(@)C. If the tyre bursts suddenly calculate the final temperature. gamma =1.4