The molecules of a given mass of a gas have r.m.s. velocity of $$200$$ $$ms-1$$ at $$27oC$$ and $$1.0$$ x $$105$$ $$Nm-2$$ pressure. When the temperature and pressure of the gas are respectively, $$1270C$$ and $$0.05$$ × $$105$$ $$Nm-2$$, the r.m.s. velocity of its molecules in $$ms-l$$ is:

Question

The molecules of a given mass of a gas have r.m.s. velocity of $$200$$ $$ms-1$$ at $$27oC$$ and $$1.0$$ x $$105$$ $$Nm-2$$ pressure. When the temperature and pressure of the gas are respectively, $$1270C$$ and $$0.05$$ × $$105$$ $$Nm-2$$, the r.m.s. velocity of its molecules in $$ms-l$$ is:

Infinity Learn · Accepted Answer

v ∝ T   ⇒ $$v200$$ $$=$$ $$400300$$ ⇒ v $$=$$ $$200$$×$$23m/s$$⇒ v $$=$$ $$4003m/s$$

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The molecules of a given mass of a gas have r.m.s. velocity of 200 ms-1 at 27oC and 1.0 x 105 Nm-2 pressure. When the temperature and pressure of the gas are respectively, 1270C and 0.05 × 105 Nm-2, the r.m.s. velocity of its molecules in ms-l is:

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