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This seems like a list question which aren't very good for SE. Here is a proof of your statement: $m_1v_1 = m_2v_2$ $\dfrac{m_1}{m_2} = \dfrac {v_2}{v_1}$ Let us assume that $m_1$ < $m_2$ $\dfrac{(m_1)^2}{(m_2)^2} = \dfrac {(v_2)^2}{(v_1)^2} < 1$ $v_1$ must be greater than $v_2$ The only case the energy of a higher velocity is beaten is shown by ...

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If my intuition is right: It depends. Obviously it will still depend on the temperature of the liquid. For evaporation to heat up the air, the newly escaped molecules from the liquid would have to have higher kinetic energy than the average air molecule. While it's probably true that the higher kinetic energy molecules are the ones that escape from the ...

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When calculating expectation values, you need to know a few things: What is my random variable? What is my distribution function? What is my desired quantity in terms of the random variable? The general form in one dimension would look like this  \langle G(x) \rangle = \frac{\int_{x_{min}}^{x_{max}} f(x) G(x) dx}{\int_{x_{min}}^{x_{max}} f(x) dx} \, ...

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Particles in a liquid body are attracted by the neighbouring particles in all directions,the particles in the surface are attracted by neighbouring particles only inwards and side ways.The surface liquid tends to prevent the particles from escaping into the space above. particles in a liquid body are more energetic than other,at higher temperature the ...

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Equipartition theorem can be used to arrive at your answer. Proton if treated as a point particle obviously has three degrees of freedom associated with translation giving 3/2 kT as the kinetic energy. The deuterium if treated as a point particle will have same kinetic energy as the proton. However the structure of deuterium would result in considering it ...

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Most of the masks work on the principle of adsorption. This is a surface phenomenon where particles stick to the surface of another material called adsorbent. Most commonly used material is activated charcoal. When used is a smelly environment, the particles/molecules responsible for the smell are filtered first (this happens only for larger particles) and ...

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