The molecules ofa given mass of a gas have a rms velocity of $$200$$ m,$$/$$$$sec$$ at $$270C$$ and $$1.0$$ x $$105$$ $$N/m2$$ pressure. When the temperature is $$1270C$$ and pressure is $$0.5$$ x $$105$$ $$N/m2$$, the rms velocity in m.$$/$$$$sec$$ will be

Question

The molecules ofa given mass of a gas have a rms velocity of $$200$$ m,$$/$$$$sec$$ at $$270C$$ and $$1.0$$ x $$105$$ $$N/m2$$ pressure. When the temperature is $$1270C$$ and pressure is $$0.5$$ x $$105$$ $$N/m2$$, the rms velocity in m.$$/$$$$sec$$ will be

Infinity Learn · Accepted Answer

Change in pressure will not affect the rms velocity of molecules. So we will calculate only the effect of temperafure.As vrms ∝ T∴ $$v3000v4000$$ $$=$$ $$300400$$ $$=$$ $$34$$  ⇒ $$200v400$$ $$=$$ $$34$$⇒ $$v400$$ $$=$$ $$200$$ × $$23$$ $$=$$ $$4003m/s$$

The molecules ofa given mass of a gas have a rms velocity of 200 m,/sec at $27^{0} C and 1.0 x 10^{5} N / m^{2}$ pressure. When the temperature is $127^{0} C and pressure is 0.5 x 10^{5} N / m^{2}$ , the rms velocity in m./sec will be

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The molecules ofa given mass of a gas have a rms velocity of 200 m,/sec at 270C and 1.0 x 105 N/m2 pressure. When the temperature is 1270C and pressure is 0.5 x 105 N/m2, the rms velocity in m./sec will be

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Ready to Test Your Skills?

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The molecules ofa given mass of a gas have a rms velocity of 200 m,/sec at $27^{0} C and 1.0 x 10^{5} N / m^{2}$ pressure. When the temperature is $127^{0} C and pressure is 0.5 x 10^{5} N / m^{2}$ , the rms velocity in m./sec will be