22320 cal of heat is supplied to 100 g of ice at 0° C. If the latent heat of fusion of ice is 80 cal g -1 and latent heat of vaporization of water is 540 cal g -1, the final amount of water thus obtained and its temperature respectively are

Question

22320 cal of heat is supplied to 100 g of ice at 0° C. If the latent heat of fusion of ice is 80 cal g -1 and latent heat of vaporization of water is 540 cal g -1, the final amount of water thus obtained and its temperature respectively are (A) 8 g , 100° C (B) 100 g , 90° C (C) 92 g , 100° C (D) 80 g , 100° C

Tardigrade Admin · Accepted Answer

Heat required to convert 100 g of ice at 0° C to water at 100° C =(100 g )(80 cal g -1)+(100 g )(1 cal g -1 ° C -1)(100° C ) =8000 cal +10000 cal =18000 cal But 22320 cal of heat is supplied, so remaining amount of heat =22320 cal -18000 cal =4320 cal Let the amount of water evaporated by remaining heat be m. Then m(540 cal g -1)=4320 cal or m=(4320 cal /540 cal g -1)=8 g Thus the final amount of water obtained at 100° C =100 g -8 g =92 g .

Q. $22320 c a l$ of heat is supplied to $100 g$ of ice at $0^{\circ} C$ . If the latent heat of fusion of ice is $80 c a l g^{- 1}$ and latent heat of vaporization of water is $540 c a l g^{- 1}$ , the final amount of water thus obtained and its temperature respectively are

$8 g, 10 0^{\circ} C$

$100 g, 9 0^{\circ} C$

$92 g, 10 0^{\circ} C$

$80 g, 10 0^{\circ} C$

Q. 22320cal of heat is supplied to 100g of ice at 0∘C. If the latent heat of fusion of ice is 80calg−1 and latent heat of vaporization of water is 540calg−1, the final amount of water thus obtained and its temperature respectively are

8g,100∘C

100g,90∘C

92g,100∘C

80g,100∘C

Q. $22320 c a l$ of heat is supplied to $100 g$ of ice at $0^{\circ} C$ . If the latent heat of fusion of ice is $80 c a l g^{- 1}$ and latent heat of vaporization of water is $540 c a l g^{- 1}$ , the final amount of water thus obtained and its temperature respectively are

$8 g, 10 0^{\circ} C$

$100 g, 9 0^{\circ} C$

$92 g, 10 0^{\circ} C$

$80 g, 10 0^{\circ} C$