A0.0811 kg ice cube at 0 °c is dropped into a styrofoam cup holding 0.397 kg of water at 14.8 °c. calculate the final temperature of the system. assume the cup and the surroundings can be ignored.

The final temperature of the system is 16.4°C.

Explanation:

Given that,

Mass of ice cube = 0.0811 kg=81.1 g

Mass of water = 0.397 kg = 397 g

Initial temperature of ice cube = 0°C=273 K

Initial temperature of water = 14.8°C = 14.8+273=287.8 K

We need to calculate the final temperature

We know that,

Specific capacity of solid = 2.09 J/g°C

Using formula of energy

Put the value into the formula

Hence, The final temperature of the system is 16.4°C.  

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

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