10gm of ice cubes at 0°C are released in a tumbler (water     equivalent 55 g) at 40°C. Assuming that negligible heat is taken from the surroundings, the temperature of water in the tumbler becomes nearly (L = 80 cal/g)

        (a)    31°C

(b)    22°C

        (c)    19°C

(d)    15°C

Question

10gm of ice cubes at 0&deg;C are released in a tumbler (water equivalent 55 g) at 40&deg;C. Assuming that negligible heat is taken from the surroundings, the temperature of water in the tumbler becomes nearly (L = 80 cal/g) (a) 31&deg;C (b) 22&deg;C (c) 19&deg;C (d) 15&deg;C

Amit Saxena · Answer

(b)

Let the final temperature be T

Heat gained by ice = mL + m × s × (T- 0)

= 10 × 80 + 10 × 1 × T

Heat lost by water = 55 × 1 × (40 - T)

By using law of calorimetery,

800 + 10T = 55 × (40-T)

Þ T = 21.54° C = 22°C

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10gm of ice cubes at 0°C are released in a tumbler (water equivalent 55 g) at 40°C. Assuming that negligible heat is taken from the surroundings, the temperature of water in the tumbler becomes nearly (L = 80 cal/g) (a) 31°C (b) 22°C (c) 19°C (d) 15°C

10gm of ice cubes at 0°C are released in a tumbler (water     equivalent 55 g) at 40°C. Assuming that negligible heat is taken from the surroundings, the temperature of water in the tumbler becomes nearly (L = 80 cal/g)

        (a)    31°C

(b)    22°C

        (c)    19°C

(d)    15°C

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10gm of ice cubes at 0°C are released in a tumbler (water equivalent 55 g) at 40°C. Assuming that negligible heat is taken from the surroundings, the temperature of water in the tumbler becomes nearly (L = 80 cal/g) (a) 31°C (b) 22°C (c) 19°C (d) 15°C

10gm of ice cubes at 0°C are released in a tumbler (water equivalent 55 g) at 40°C. Assuming that negligible heat is taken from the surroundings, the temperature of water in the tumbler becomes nearly (L = 80 cal/g) (a) 31°C (b) 22°C (c) 19°C (d) 15°C

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10gm of ice cubes at 0°C are released in a tumbler (water equivalent 55 g) at 40°C. Assuming that negligible heat is taken from the surroundings, the temperature of water in the tumbler becomes nearly (L = 80 cal/g)

(a) 31°C

(b) 22°C

(c) 19°C

(d) 15°C