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The pressure and density of a diatomic gas γ=75 change adiabatically from (P, d) to (P', d'). If d'd=32, then find the value of P' P?

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Important Questions on Thermodynamics

EASY
JEE Main/Advance
IMPORTANT
An ideal gas (γ = 5/3) is adiabatically compressed from 640 cm3 to 80 cm3. If the initial pressure is P, then find the final pressure? 
EASY
JEE Main/Advance
IMPORTANT
In an adiabatic process, the pressure is increased by 23%. If γ=32, then find the decreases in volume (approximately).
HARD
JEE Main/Advance
IMPORTANT
An ideal gas at pressure 4×105 Pa and temperature 400 K occupies 100 cc. It is adiabatically expanded to double of its original volume. Calculate (a) the final pressure, (b) final temperature, and (c) work done by the gas in the process (γ=1.5) .
MEDIUM
JEE Main/Advance
IMPORTANT

In the figure, the walls of the container and the piston are weakly conducting. The initial pressure, volume and temperature of the gas are 200 K Pa, 800 cm3 and 100 K, respectively. Find the pressure and the temperature of the gas if it is (a) slowly compressed (b) suddenly compressed to 200 cm3 (γ=1.5).

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MEDIUM
JEE Main/Advance
IMPORTANT
When the state of a system changes form A to B adiabatically, the work done on the system is 322 J. If the state of the same system is changed from A to B by another process and heat required is 50 calories, then find the work done on the system in this process (J=4.2 J cal-1).
EASY
JEE Main/Advance
IMPORTANT
Find the molar heat capacity (in terms of R) of a monoatomic ideal gas undergoing the process, PV12=constant?
EASY
JEE Main/Advance
IMPORTANT
If Q amount of heat is given to a diatomic ideal gas in a process in which the gas perform a work 2Q3on its surrounding, find the molar heat capacity (in terms of R) for the process.
HARD
JEE Main/Advance
IMPORTANT
One mole of a gas expands with temperature T such that its volume is, V=kT2, where k is a constant. If the temperature of the gas changes by 60°C, then find the work done by the gas R=253 J mol-1 K-1.