A gas is compressed at a constant pressure of 50 N / m 2 from a volume of 10 m3 to a volume of 4 m 3 . Heat of 100 J is then added to the gas by heating. Its internal energy is A. Decreased by 200 J B. Increased by 200 J C. Decreased by 400 J D. Increased by 400 J

Question

A gas is compressed at a constant pressure of   50  N      /        m    2   from a volume of 10 m3 to a volume of   4      m    3  . Heat of 100 J is then added to the gas by heating. Its internal energy is A. Decreased by 200 J B. Increased by 200 J C. Decreased by 400 J D. Increased by 400 J

Britney Hood · Accepted Answer

Given, energy added to the system,   4      m    3   Pressure applied   (  P  )  =  50  N      /        m    2   Change in volume,       Δ    V  =      V    2    −      V    1    =  4  −  10  =  −  6      m    3   From first law of the thermodynamics       Δ    Q  =      Δ    U  +      Δ    W We can document that.      Δ    Q  =      Δ    U  +  P      Δ    V  ⇒  +  100  =      Δ    U  +  50  ×  (  −  6  )  ⇒      Δ    U  =  400  J Therefore , option &#039;D&#039; is the correct answer.

A gas is compressed at a constant pressure of 50 N/m^2 from a volume of 10 m^3 to a volume of 4 m^3. Heat of 100 J is then added to the gas by heating. Its internal energy is A. Decreased by 200 J B. Increased by 200 J C. Decreased by 400 J D. Increased by 400 J

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