The temperature and volume of one mole an ideal gas during its expansion is related as T - T 0- V 2 where T 0 and - positive constants- R is the universal gas constant- The minimum attainable pressure is-A- 2 R - T 0B- R - T 0C- R -2- T 0D- R -2- T 0

The correct option is A 2R√(α T_0)P_min=RT_0/√(T_0/α)+α R√(T_0/α) =R√(α T_0)+R√(α T_0) =2R√(α T_0) ...

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Standard XII

Chemistry

First Law of Thermodynamics

The temperatu...

Question

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 minimum attainable pressure is.

2 R \sqrt{α T_{0}}

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R \sqrt{α T_{0}}

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\frac{R}{2} \sqrt{α T_{0}}

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\frac{R}{2} \sqrt{T_{0}}

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Solution

The correct option is A $2 R \sqrt{α T_{0}}$
$P_{m i n} = \frac{R T_{0}}{\sqrt{\frac{T_{0}}{α}}} + α R \sqrt{\frac{T_{0}}{α}} = R \sqrt{α T_{0}} + R \sqrt{α T_{0}} = 2 R \sqrt{α T_{0}}$

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The temperature and volume of one mole an ideal gas during its expansion is related as T=T0+αV2 where T0 and α positive constants. R is the universal gas constant. The minimum attainable pressure is.

The correct option is A 2R√αT0Pmin=RT0√T0α+αR√T0α=R√αT0+R√αT0=2R√αT0

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 minimum attainable pressure is.

The correct option is A $2 R \sqrt{α T_{0}}$
$P_{m i n} = \frac{R T_{0}}{\sqrt{\frac{T_{0}}{α}}} + α R \sqrt{\frac{T_{0}}{α}} = R \sqrt{α T_{0}} + R \sqrt{α T_{0}} = 2 R \sqrt{α T_{0}}$