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if the pressure remains constant, find t...

if the pressure remains constant, find the temperature at which root mean square speed of a gas is half of its value at `27^(@)C`.

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To solve the problem, we need to find the temperature at which the root mean square (RMS) speed of a gas is half of its value at 27°C, while keeping the pressure constant. Let's go through the solution step by step. ### Step 1: Understanding the relationship between RMS speed and temperature The root mean square speed (v_rms) of a gas is given by the formula: \[ v_{rms} = \sqrt{\frac{3RT}{M}} \] where: ...
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