Home
Class 11
PHYSICS
The pressure of an ideal gas varies acco...

The pressure of an ideal gas varies according to the law `P = P_(0) - AV^(2)`, where `P_(0)` and `A` are positive constants. Find the highest temperature that can be attained by the gas

A

`(P_(0))/(nR) sqrt((P_(0))/(A))`

B

`(P_(0))/(nR)sqrt((P_(0))/(2A))`

C

`(2P_(0))/(nR)sqrt((P_(0))/(2A))`

D

`(2P_(0))/(3nR)sqrt((P_(0))/(3A))`

Text Solution

Verified by Experts

The correct Answer is:
D
`P=P_(0)-AV^(2)rArr(nRT)/(V)=P_(0)-AV^(2)` at max
temperature `(dT)/(dV)=0rArrP_(0)=3AV^(2)`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    NARAYNA|Exercise NCERT BASED QUESTIONS|28 Videos

  • KINETIC THEORY OF GASES

    NARAYNA|Exercise LEVEL-V|10 Videos

  • KINETIC THEORY OF GASES

    NARAYNA|Exercise LEVEL-2(C.W)|5 Videos

  • GRAVITATION

    NARAYNA|Exercise EXERCISE -IV|40 Videos

  • LAW OF MOTION

    NARAYNA|Exercise EXERCISE - IV|35 Videos

Similar Questions

Explore conceptually related problems

The ratio of specific heats ( C_(p) and C_(v) ) for an ideal gas is gamma . Volume of one mole sample of the gas is varied according to the law V = (a)/(T^(2)) where T is temperature and a is a constant. Find the heat absorbed by the gas if its temperature changes by Delta T .

Pressure of an ideal gas is given by P=P_(0)=[1-(1)/(2)((V_(0))/(V))^(2)]

One mole of an ideal gas undergoes a process p=(p_(0))/(1+((V)/(V_(0)))^(2)) where p_(0) and V_(0) are constants. Find temperature of the gaas when V=V_(0) .

The volume of one mode of an ideal gas with adiabatic exponent gamma is varied according to the law V = a//T , where a is constant . Find the amount of heat obtained by the gas in this process, if the temperature is increased by Delta T .

find the minimum attainable pressure of an ideal gs in the process T = t_0 + prop V^2 , where T_(0)n and alpha are positive constants and (V) is the volume of one mole of gas.

In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT= K, where K is a constant. In this process the temperataure of the gas is increased by DeltaT . The amount of heat absorbed by gas is (R is gas constant).

One mole of an ideal gas undergoes a process P=P_(0)-alphaV^(2) where alpha and P_(0) are positive constant and V is the volume of one mole of gas Q. The maximum attainable temperature is

For a certain process pressure of diatomic gas varies according to the relation P=aV^(2n) , where a is constant. What is the molar heat capacity of the gas for this process?

For a certain process, pressure of diatomic gas varies according to the relation P = aV^2 , where a is constant. What is the molar heat capacity of the gas for this process ?

One mole of an ideal gas undergoes a process P = P_(0) [1 + ((2 V_(0))/(V))^(2)]^(-1) , where P_(0) V_(0) are constants. Change in temperature of the gas when volume is changed from V = V_(0) to V = 2 V_(0) is: