To what temperature should be the hydrogen at $327^{0} C$ be cooked at constant pressure so that the root mean square velocity of its molecules becomes half of its previous value

- 123^{0} C

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120^{0} C

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- 100^{0} C

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0^{0} C

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Solution

The correct option is A $- 123^{0} C$
$\frac{V_{r m s}}{V_{r m s}}$ = $\sqrt{\frac{t + 273}{327 + 273}}$ (using standard formula)
Or,
$\frac{1}{2}$ = $\sqrt{\frac{t + 273}{600}}$
Or,
$t = - 123^{0} C$

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To what temperature should be the hydrogen at 3270C be cooked at constant pressure so that the root mean square velocity of its molecules becomes half of its previous value

The correct option is A −1230C VrmsVrms = √ t+273327+273 (using standard formula)Or, 12 = √ t+273600Or,t=−1230C

To what temperature should be the hydrogen at $327^{0} C$ be cooked at constant pressure so that the root mean square velocity of its molecules becomes half of its previous value

The correct option is A $- 123^{0} C$
$\frac{V_{r m s}}{V_{r m s}}$ = $\sqrt{\frac{t + 273}{327 + 273}}$ (using standard formula)
Or,
$\frac{1}{2}$ = $\sqrt{\frac{t + 273}{600}}$
Or,
$t = - 123^{0} C$