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Question: If a ball of 80 kg mass hits an ice cube and temperature of ball is 100°C, then how much ice convert...

If a ball of 80 kg mass hits an ice cube and temperature of ball is 100°C, then how much ice converted into water? Specific heat of ball is 0.2 calg1g^{- 1} Latent heat of ice = 80 cal g1g^{- 1}

A

20 g

B

200 g

C

2×103 g2 \times 10^{3}\text{ g}

D

2×104 g2 \times 10^{4}\text{ g}

Answer

2×104 g2 \times 10^{4}\text{ g}

Explanation

Solution

If m is the mass of ice melted, then heat spent in melting. = heat supplied by the ball mL=sMΔTmL = sM\Delta T

m × 80 = 0.2×(80×1000)×100 or m=2×104gm = 2 \times 10^{4}g