## Related questions with answers

When two molecules of hydrogen combine with one molecule of oxygen to form two water molecules,

$2 \mathrm{H}_2+\mathrm{O}_2 \longrightarrow 2 \mathrm{H}_2 \mathrm{O}$

the energy released is $5 \mathrm{eV}$. (a) What is the mass difference between the three original molecules and the two final ones? (b) Given that the water molecule has mass about $3 \times 10^{-26} \mathrm{~kg}$, what is the fractional change in mass, $\Delta M /$ (total mass)? (Does it matter significantly whether you use the initial or final total mass?) (c) If one were to form $10 \mathrm{~g}$ of water by this process, what would be the total change in rest mass?

Solution

Verified### Known

The rest energy of a body of mass $M$ is $Mc^2$. If this mass $M$ is divided, for example into two masses $m_1$ and $m_2$, we have:

$\begin{aligned} M\neq m_1+m_2 \end{aligned}$

That is, the mass is not conserved. However, energy is still being conserved.

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