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  • One mole of an ideal monatomic gas is taken from temperature <img alt="\mathrm{T_0 \: \: to\: \: 2 T_0}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7BT_0%20%5C%3A%20%5C%3A%20to%

One mole of an ideal monatomic gas is taken from temperature \mathrm{T_0 \: \: to\: \: 2 T_0} by the process \mathrm{P T^{-4}=C}. Considering the following statements choose the correct alternative.
I. Molar heat capacity of the gas is \mathrm{-\frac{3 R}{2}}

II. Molar heat capacity of the gas is \mathrm{\frac{3 R}{2}}

III. Work done is \mathrm{-3 R T_0}

IV. Work done is \mathrm{3 R T_0}
 

Option: 1

Statements I and IV are correct.
 


Option: 2

Statements I and III are correct.
 


Option: 3

Statements II and IV are correct
 


Option: 4

Statements II and III are correct.


Answers (2)

best_answer

We know that \mathrm{P T^{-4}=C, P V^{4 / 3}=C}

\mathrm{ C=\frac{R}{\gamma-1}-\frac{R}{\mu -1}=\frac{3 R}{2}-\frac{3 R}{1}=\frac{-3 R}{2} }

\mathrm{ W=\frac{n R\left(T_1-T_2\right)}{\frac{4}{3}-1}=-3 R T_o}

An ideal monoatomic gas is taken around the cycle \mathrm{ ABCDA} as

Posted by

admin

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Statement l and lll are correct

Posted by

Guru G

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