For a thermodynamic system, the pressure, volume and temperature are related as where is a positive constant. The work done for this system in a constant pressure process, if the temperature changes from T₀ to 2T₀ is

$2 α T_{0}^{2}$

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$3 α T_{0}^{2}$

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$4 α T_{0}^{2}$

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None

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Solution

The correct option is B
$3 α T_{0}^{2}$

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For a thermodynamic system, the pressure, volume and temperature are related as $p = \frac{α T^{2}}{V}$ , where $α$ is a positive constant. The work done for this system in a constant pressure process, if the temperature changes from $T_{0}$ to $2 T_{0}$ is

Q. Pressure P, volume V and temperature T for a certain gas are related by

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The temperature and volume of one mole an ideal gas during its expansion is related as $T = T_{0} + α V^{2}$ where $T_{0}$ and $α$ positive constants. R is the universal gas constant.
The volume at which the pressure is minimum is;