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प्रश्न
Let Ta and Tb be the final temperatures of the samples A and B, respectively, in the previous question.
पर्याय
Ta < Tb
Ta = Tb
Ta > Tb
The relation between Ta and Tb cannot be deduced.
उत्तर
Ta < Tb
As sample B is undergoing expansion through an isothermal process, its initial and final temperatures will be same, i.e. Tb. On the other hand, sample A is at the same initial state as B, such that the initial temperature of A is Tb and it is expanding through an adiabatic process in which no heat is supplied. Therefore, sample A will expand at the cost of its internal energy and its final temperature will be less than its initial temperature.
This implies that Ta < Tb.
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संबंधित प्रश्न
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| Column - I | Column - II | ||
| (A) | Root mean square speed of gas molecules | (P) | `1/3"nm"overline"v"^2` |
| (B) | The pressure exerted by the ideal gas | (Q) | `sqrt((3"RT")/"M")` |
| (C) | The average kinetic energy of a molecule | (R) | `5/2"RT"` |
| (D) | The total internal energy of 1 mole of a diatomic gas | (S) | `3/2"k"_"B""T"` |
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| Column - I | Column - II | ||
| (A) | Root mean square speed of gas molecules | (P) | `1/3"nm"υ^(-2)` |
| (B) | Pressure exerted by ideal gas | (Q) | `sqrt((3"RT")/"M")` |
| (C) | Average kinetic energy of a molecule | (R) | `5/2"RT"` |
| (D) | Total internal energy of 1 mole of a diatomic gas | (S) | `3/2"k"_"B""T"` |
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