During the melting of a slab of ice at $273 \ K$ at atmospheric pressure,

  • A
    Internal energy of ice-water system remains unchanged.
  • B
    Positive work is done by the ice-water system on the atmosphere.
  • C
    Internal energy of the ice-water system decreases.
  • D
    Positive work is done on the ice-water system by the atmosphere.

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$A$ gas is compressed at a constant pressure of $50 \ N/m^{2}$ from a volume of $10 \ m^{3}$ to $4 \ m^{3}$. Then,the gas is heated by supplying $100 \ J$ of energy. The increase in its internal energy will be ..... $J$.

Write the sign convention for internal energy in thermodynamics.

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The first law of thermodynamics states that:

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