Which of the following has the greatest entropy?
A.1 mole NaCl (g) at 25C
B.1 mole NaCl (g) at 50C
C.1 mole NaCl (l) at 50C
D.1 mole NaCl (s) at 100C
I know that gases have the highest entropy and the higher the temperature the higher the entropy...so i am leaning toward b. but the temp of d. is double that of b.......so i am not sure of the answer.
True that d is a higher T BUT think how order the solid crystal is versus how random the gas molecules are. I would go with b.
To determine which substance has the greatest entropy among the given options, we need to consider the phase (solid, liquid, or gas) and temperature.
The general trend is that the entropy increases with increasing temperature and with a change in phase from solid to liquid to gas.
Let's assess each option:
A. 1 mole NaCl(g) at 25°C: This option represents gaseous sodium chloride at a relatively lower temperature. Gaseous state generally has higher entropy compared to liquids or solids. However, the temperature is relatively lower compared to option B.
B. 1 mole NaCl(g) at 50°C: This option also represents gaseous sodium chloride but at a higher temperature compared to option A. As mentioned earlier, higher temperature generally corresponds to higher entropy.
C. 1 mole NaCl(l) at 50°C: This option represents liquid sodium chloride at the same temperature as option B. Liquids have lower entropy compared to gases.
D. 1 mole NaCl(s) at 100°C: This option represents solid sodium chloride at a relatively high temperature. Although the temperature is higher than option B, the solid state generally has lower entropy compared to gases.
Based on the information provided, option B (1 mole NaCl(g) at 50°C) is likely to have the greatest entropy among the given options. This is because it represents gaseous sodium chloride at a higher temperature, which generally corresponds to higher entropy.
To determine which of the given options has the greatest entropy, you are correct in considering that gases generally have higher entropy compared to liquids and solids. Additionally, as you mentioned, the higher the temperature, the higher the entropy.
To evaluate each option:
A. 1 mole NaCl (g) at 25°C: This option represents a gas at a relatively lower temperature.
B. 1 mole NaCl (g) at 50°C: This option also represents a gas, but at a higher temperature compared to option A.
C. 1 mole NaCl (l) at 50°C: This option represents a liquid at the same temperature as option B.
D. 1 mole NaCl (s) at 100°C: This option represents a solid, but at a higher temperature than any other option.
Based on your understanding, you correctly identified that gases have the highest entropy and that higher temperature generally leads to higher entropy. Comparing options B and D, option D (1 mole NaCl (s) at 100°C) has a higher temperature, but it is in the solid state. Solids generally have lower entropy than gases.
Therefore, the answer is option B, 1 mole NaCl (g) at 50°C, which represents a gas at a higher temperature and thus has the greatest entropy among the given options.