New answers tagged kinetic-theory
There is no reason squaring equation (2) should give equation (1), because they are independent equations. You can use this fact to solve for $v_1$ and $v_2$; if this weren't so then using both conservation of energy and momentum would be rather useless.
According to the equation of kinetic theory of gases, 'm' is the mass per a single molecule. NA*m = M(molar mass of molecule)
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