An insulated beaker with negligible mass contains liquid water with a mass of 0.270 kg and a temperature of 82.5 ∘c . how much ice at a temperature of -22.3 c must be dropped into the water so that the final temperature of the system will be 34.0 c?

Explanation:

Given

mass of water

Temperature of water

Initial Temperature of ice

Final temperature of system

specific heat of water

specific heat of ice

Latent heat of ice

Heat loss by Water is equal to heat gained by ice

Heat loss by water

Heat gained by ice

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

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