<span>Melting of ice is an endothermic process, meaning that energy is absorbed. When ice spontaneously melts, ΔH (change in enthalpy) is "positive". ΔS (entropy change) is also positive, because, becoming a liquid, water molecules lose their fixed position in the ice crystal, and become more disorganized. ΔG (free energy of reaction) is negative when a reaction proceeds spontaneously, as it happens in this case. Ice spontaneously melts at temperatures higher than 0°C. However, liquid water also spontaneously freezes at temperatures below 0°C. Therefore the temperature is instrumental in determining which "melting" of ice, or "freezing" of water becomes spontaneous. The whole process is summarized in the Gibbs free energy equation:
ΔG = ΔH – TΔS</span>
Answer:
The amount of mass that needs to be converted to release that amount of energy is ![1.122 X 10^{-7} kg](https://tex.z-dn.net/?f=1.122%20X%2010%5E%7B-7%7D%20%20kg)
Explanation:
From Albert Einstein's Energy equation, we can understand that mass can get converted to energy, using the formula
![E= \Delta mc^{2}](https://tex.z-dn.net/?f=E%3D%20%5CDelta%20mc%5E%7B2%7D)
where
= change in mass
c = speed of light = ![3 \times 10 ^{8}m/s](https://tex.z-dn.net/?f=3%20%5Ctimes%2010%20%5E%7B8%7Dm%2Fs)
Making m the subject of the formula, we can find the change in mass to be
![\Delta m = \frac{E}{c^{2}}= \frac{1.01 \times 10^{3} \times 10^{7}}{(3 \times 10^{8})^{2}}= 1.122 \times 10 ^{-7}kg](https://tex.z-dn.net/?f=%5CDelta%20m%20%3D%20%5Cfrac%7BE%7D%7Bc%5E%7B2%7D%7D%3D%20%5Cfrac%7B1.01%20%5Ctimes%2010%5E%7B3%7D%20%5Ctimes%2010%5E%7B7%7D%7D%7B%283%20%5Ctimes%2010%5E%7B8%7D%29%5E%7B2%7D%7D%3D%201.122%20%5Ctimes%2010%20%5E%7B-7%7Dkg)
There fore, the amount of mass that needs to be converted to release that amount of energy is 1.122 X 10 ^-7 kg
<span>Astronomers are able to determine facts about the composition of these moons by examining the nature of light that is reflected from their surfacy using a method called spectroscopy. This process works because different materials tend to reflect light at different wavelengths So, by observing at which wavelengths a planetary body reflects light, astronomers are able to estimate its composition.</span>