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What is the temperature change in 355 ml of water upon absorption of 34 kj of heat? (the specific heat capacity of water is 4.184 j/g∘c.) express your answer in degrees celsius?

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Erythrosin17

Heat gained or absorbed in a system can be calculated by multiplying the given mass to the specific heat capacity of the substance and the temperature difference. It is expressed as follows:

Heat = mC(T2-T1)

We have to determine the value of (T2-T1) which is the temperature change. To do this, we simply substitute the values given above. We do as follows:


Heat = mC(T2-T1)

34 kJ ( 1000 J / kJ ) = 355 mL ( 1 g / mL ) (4.184 J / g-C ) (T2-T1)

(T2-T1) = 22.89 degrees Celsius or Kelvin


THerefore, the temperature change of the abosrption of 34 kJ of heat by water would be 22.89 degrees Celsius.

The temperature change when 355 ml of water absorbs 34 kilo joules of heat is 22.89 degrees Celsius.

Further Explanation:

Heat capacity  

  • Heat capacity refers to the amount of heat that is required to raise the temperature of an object or a substance by one degree Celsius or 1 Kelvin.
  • Heat capacity is thus expressed as Joules/°C

Specific heat capacity  

  • This is the amount of heat that is required to raise the temperature of a unit mass of a substance by 1 degree Celsius or 1 Kelvin.
  • It is expressed as Joule/kg/°C or J/g/°C. For example the specific heat of water is 4.184 j/g/°C

Quantity of Heat  

  • Quantity of Heat is calculated using the formula;

Q = mCΔT

  • Where Q is the Quantity of heat, m is the mass of the object, C is the specific heat capacity of the object and ΔT is the resulting change in temperature.
  • ΔT is given by the difference between initial temperature and final temperature.  

That is; ΔT = Tfinal - Tinitial

  • In our case;

Mass of water = 355 ml  

                      = 355 g ( Density of water is 1 g/ml)

Quantity of heat = 34 kJ or 34000 J

Specific heat capacity of water = 4.184 J/g/°C

But: Q = mcΔT

Therefore; ΔT = Q/mc

                       = 34000/ (355 g x 4.184 J/g/°C)

                       = 22.89 °C

Keywords: Change in temperature, Specific heat capacity, Quantity of heat

Learn more about;

  • Specific heat capacity: https://brainly.com/question/12257812
  • Heat capacity: https://brainly.com/question/3173246
  • Quantity of heat calculation example: https://brainly.com/question/1673617

Level: High school  

Subject; Physics  

Topic: Quantity of Heat  

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