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AIIMS 2013
Exam
AIIMS
Year
2013
Subject
Physics
Chapter
Thermal Properties of Matter

AIIMS 2013 · Physics · Thermal Properties of Matter

1 ~g of steam is sent into 1 ~g of ice. At thermal equilibrium, the...

1 g1 \mathrm{~g} of steam is sent into 1 g1 \mathrm{~g} of ice. At thermal equilibrium, the resultant temperature of mixture is

Options

  1. A270∘C270^{\circ} \mathrm{C}
  2. B230∘C230^{\circ} \mathrm{C}
  3. C100∘C100^{\circ} \mathrm{C}
  4. D120∘C120^{\circ} \mathrm{C}

Correct answer

C. 100∘C100^{\circ} \mathrm{C}

Step-by-step solution

Heat required to melt 1 g1 \mathrm{~g} of ice at 0∘C0^{\circ} \mathrm{C} to water at 0∘C=1×80cal0^{\circ} \mathrm{C}=1 \times 80 \mathrm{cal}. Heat required to raise temperature of 1 g1 \mathrm{~g} of water from 0∘C0^{\circ} \mathrm{C} to 100∘C=1×1×100=100cal100^{\circ} \mathrm{C}=1 \times 1 \times 100=100 \mathrm{cal}. Total heat required for maximum temperature of 100∘C=80+100=180cal100^{\circ} \mathrm{C}=80+100=180 \mathrm{cal}. As one gram of steam gives 540 cal of heat when it is converted to water at 100∘C100^{\circ} \mathrm{C}, therefore, temperature of the mixture =100∘C=100^{\circ} \mathrm{C}.
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