Home
Class 12
PHYSICS
Two samples of a gas initially at same t...

Two samples of a gas initially at same temperature and pressure are compressed from a volume `V` to ` (V)/(2)` . One sample is compressed isothermally and the other adiabatically . In which sample is the pressure greater?

Text Solution

AI Generated Solution

To determine which sample of gas has greater pressure after being compressed from volume \( V \) to \( \frac{V}{2} \) — one compressed isothermally and the other adiabatically — we can analyze both processes using the ideal gas laws. ### Step 1: Understand the Initial Conditions Both samples of gas are initially at the same temperature \( T \) and pressure \( P \), and they are compressed from volume \( V \) to \( \frac{V}{2} \). ### Step 2: Analyze the Isothermal Compression For the isothermal process, the temperature remains constant. According to the ideal gas law, we have: ...
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN|Exercise SOME WORKED OUT EXAMPLES|84 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE -01|65 Videos

  • CURRENT ELECTRICITY

    ALLEN|Exercise All Questions|427 Videos

  • GRAVITATION

    ALLEN|Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

Two samples A and B of a gas are initially at the same temperature and pressure are compressed from volume V_1 to V/2 (A isothermally and B adiabatically). The final pressure is

Two samples A and B of a certain gas, which are initially at the same temperature and pressure, are compressed from volume V to V /2. A is compressed isothermally, while Bis compressed adiabatically. The final pressure of A is

Two sample A and B of a gas initially at the square at the same pressure and temperature are compressed from volume V to V//2 (A isothermally and B adiabatically). The final pressure of A is

A mono-atomic gas X and an diatomic gas gamma both initially at the same temperature and pressure are compressed adiabatically from a volume V to V//2 . Which gas will be at higher temperature?

Initially two gas samples 1 and 2 are at the same condition. The volume of the two are halved, one isothermally and the other adiabatically. What is the relation between the final pressures p_(1) and p_(2) ?

A certain mass of an ideal gas is at pressure P_(1) and volume V_(1) . If is compressed isothermally and then allowed to expand adiabatically untill its pressure returns to P_(1) . The gas is then allowed to expand its original volume. Which of the following P -V graphs are these process correctly shown?

Statement-1: Two gases at same pressure, volume & temperature are compressed to same volume. The first isothermally and second adiabatically, greater work is done on the gas for an adiabatic process. Statement-2: Final temperature for gas going under isothermal process is more than gas going under adiabatic process.