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When 5.0g of NH4CLO4 is added to 100mL of water in a calorimeter, the temperature of the solution formed decreases by 3.0C?

Sagot :

Answer:

24.7 C

Explanation:

I don't know how

The final temperature of 1000 ml water by the addition of 5 g ammonium perchlorate has been 24.7 degree Celsius.

With the addition of 5 g of ammonium perchlorate, the drop in temperature has been:

The addition of 5 g sample to 100 ml water has absorption of energy, that results in change in temperature of 3 degree Celsius.

The heat absorbed by sample has been given as:

Heat = mass × specific heat × change in temperature

Since, the same mass of sample has been added to 25 degree Celsius water, according to law of conservation, the change in density for both the changes has been equivalent.

The ratio of masses has been equivalent to the ratio of volume.

[tex]\rm \dfrac{Mass\;at\;1000\;ml}{Mass\;at\;100\;ml}\;=\;\dfrac{Volume\;at\;1000\;ml}{Volume\;at\;100\;ml}\\\\\\\dfrac{Mass\;at\;1000\;ml}{Mass\;at\;100\;ml}\;=\;\dfrac{1000\,ml}{100\;ml}\\\\\\\dfrac{Mass\;at\;1000\;ml}{Mass\;at\;100\;ml}\;=\;10[/tex]

Since, the mass at 100 ml and mass at 1000 ml has been equal, the heat absorbed by the sample has also been equal. Equating the values:

Mass at 100 ml × Specific heat × Change in temperature = Mass at 1000 ml × Specific heat × Change in temperature

[tex]\rm 3\;degree\;Celsius\;= \;\dfrac{Mass\;at\;1000\;ml}{Mass\;at\;100\;ml}\;\times\;Change\;in\;temperature\\\\3\;degree\;Celsius\;= \;10\;\times\;Change\;in\;temperature\\\\Change\;in\;temperature\;=\;\dfrac{3}{10}[/tex]

Change in temperature =  0.3 degree Celsius.

The initial temperature of water has been 25 degree Celsius. The change in temperature has been given by:

Change in temperature = Initial temperature - Final temperature

0.3 degree Celsius = 25 degree Celsius - Final temperature

Final temperature = 25 - 03 degree Celsius

Final temperature = 24.7 degree Celsius.

The final temperature of 1000 ml water by the addition of 5 g ammonium perchlorate has been 24.7 degree Celsius.

For more information about the final temperature, refer to the link:

https://brainly.com/question/18875024