$150 \,g$ of ice is mixed with $100 \,g$ of water at temperature $80^{\circ} C$. The latent heat of ice is $80 cal / g$ and the specific heat of water is $1 cal / g ^{\circ} C$. Assuming no heat loss to the environment, the amount of ice which does not melt is ........... $g$

  • [KVPY 2012]
  • A

    $100$

  • B

    $0$

  • C

    $150$

  • D

    $50$

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