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When one mole of monoatomic gas expands at constant pressure, the ratio of the heat supplied that increases the internal energy of the gas and that is used in expansion is

Option: 1

\infty


Option: 2

 zero


Option: 3

3 / 2


Option: 4

2 / 3


Answers (1)

best_answer

We know that,

\mathrm{\Delta Q=\Delta U+p d V}
\mathrm{n \times C_{p} \times \Delta T =\Delta U+R \Delta T}

\mathrm{1 \times \frac{5}{2} R \times \Delta T =\Delta U+R \Delta T}
\mathrm{\Rightarrow \quad \Delta U =1.5 R \Delta T}

\mathrm{Therefore, \frac{\Delta U}{R \Delta T}=1.5=\frac{3}{2}}

Posted by

Riya

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