A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats - - It is moving with speed v and is suddenly brought to rest- Assuming no heat is lost to the surroundings- its temperature increases by

The correct option is D (γ 1)2R Mv^2 . W= Δ U 12 Mv^2 =Rγ 1ΔT ΔT= (γ 1)2R Mv^2 ...

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Byju's Answer

Standard X

Physics

Specific Heat Capacity

A thermally i...

Question

A thermally insulated vessel contains an ideal gas of molecular mass $M$ and ratio of specific heats $γ$ . It is moving with speed $v$ and is suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by

\frac{(γ - 1)}{2 (γ + 2) R}

M v^{2}

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\frac{(γ - 1)}{2 γ R}

M v^{2}

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\frac{γ M v^{2}}{2 R}

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\frac{(γ - 1)}{2 R}

M v^{2}

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Solution

The correct option is D $\frac{(γ - 1)}{2 R}$ $M v^{2}$ .
$W = Δ U$
$\frac{1}{2} M v^{2}$ $= \frac{R}{γ - 1} Δ T$
$Δ T = \frac{(γ - 1)}{2 R}$ $M v^{2}$

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A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats γ . It is moving with speed v and is suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by

The correct option is D (γ−1)2R Mv2.W=ΔU12Mv2 =Rγ−1ΔTΔT=(γ−1)2R Mv2

A thermally insulated vessel contains an ideal gas of molecular mass $M$ and ratio of specific heats $γ$ . It is moving with speed $v$ and is suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by

The correct option is D $\frac{(γ - 1)}{2 R}$ $M v^{2}$ .
$W = Δ U$
$\frac{1}{2} M v^{2}$ $= \frac{R}{γ - 1} Δ T$
$Δ T = \frac{(γ - 1)}{2 R}$ $M v^{2}$