Question

A monatomic ideal gas undergoes a process in which the ratio of p to v at any instant is constant and equal to unity the molar heat capacity of the gases

Answer 1

 

A monoatomic ideal gas undergoes a process in which the ratio of P to V at any instant is constant and equal to unity. The molar heat capacity of gas is:

(a)2.0R(b)1.5R(c)2.5R(d)0(a)2.0R(b)1.5R(c)2.5R(d)0




 




Let P , V be the pressure and Volume of gas at temperature T

P1V1=RTP1V1=RT

P2(V1+dv)=R(T+1)P2(V1+dv)=R(T+1)

∴P2=RT+R∴P2=RT+R

Since (P2V1+dv=1P2V1+dv=1)

⇒2(δP2δT)v=R⇒2(δP2δT)v=R

⇒(δP2δT)=R2⇒(δP2δT)=R2

Since, C=Cv+δPδTC=Cv+δPδT

=3R2+R2=3R2+R2

= 2R

Hence answer is (a)

Answer 2

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