A closed system is heated from 1000°C to 1400°C. The internal energy is U and the entropy is S. If no work done is done by the system.
a) Both U and S increases
b) U increases and S decreases
c) U is constant but S decreases
H) U decreases and S is constant
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when the closed system is heated from 1000°C to 1400°C, both the U and S increase.
Explanation:
As given in the question a closed system is heated from 1000° to 1400°C, so an increase in the temperature = 400°C
As, U = nCvΔT
so, the internal energy (U) is directly proportional to the temperature (T) . so on increasing the temperature internal energy of the system increases.
whereas, increase with an increase in temperature Because Entropy is a measure of disorder, and increasing temperature increases the energy of the system and thus its disorder.
hence, Both U and S increases option (a).
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