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  • In a thermodynamic process helium gas obeys the law <img alt="\mathrm{T P^{-2 / 5}=constant }" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7BT%20P%5E%7B-2%20/%205%7D%3Dconstant%2

In a thermodynamic process helium gas obeys the law \mathrm{T P^{-2 / 5}=constant }. What is the heat given to the gas when the temperature of 2 moles of the gas is raised from \mathrm{T} to \mathrm{4T} ? ( R  is the universal gas constant)

Option: 1

\mathrm{9 R}


Option: 2

\mathrm{18 R T}


Option: 3

zero


Option: 4

 data insufficient


Answers (1)

\mathrm{TP}^{-2 / 5}=constant

\mathrm{\Rightarrow \quad \mathrm{PV}^{5 / 3}= constant}

\mathrm{\Rightarrow } process is adiabatic since \mathrm{\mathrm{Y}_{4 \mathrm{c}}=5 / 3 }

\mathrm{\therefore \quad (c) }
 

Posted by

Sumit Saini

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