Questions

The heat supplied to one mole of an ideal mono atomic gas in increasing temperature from $T_{0} {to 2T}_{0}$ is 2RT₀. Find the equation of process to which the gas follows.

Remember concepts with our Masterclasses.

80k Users

60 mins Expert Faculty Ask Questions

P2V−1=constant

PV−1=constant

P−1V=constant

PV−2=constant

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is B

Heat supplied to the gas Q=nCΔT for poly tropic process molar heat capacity is given byC=R(γ−1)+R(1−N)=R53−1+R(1−N)=32R+R(1−N)Q=n3R2+R(1−N)2T0−T0=(1)RT05−3N2(1−N)=2RT0 given 5−3N=4(1−N)N = -1Hence equation of process, PV−1=constant

Talk to our academic expert!

Create Your Own Test
Your Topic, Your Difficulty, Your Pace

Similar Questions

An ideal gas undergoes a process in which $P V^{- a} =$ constant, where $V$ is the volume occupied by the gas initially at pressure $P$ . At the end of the process, rms speed of gas molecules has become $a^{1 / 2}$ times of its initial value. What will be the value of $C_{V}$ so that energy transferred by the heat to the gas is $' a'$ times of the initial energy $(Δ Q = a P V)$