What is the final temperature of 400 g of water at 20°C after it absorbs 226 kJ of heat?

Answer 1

I found: #T_f=155^@C#

I would use the relationship: #Q=mcDeltaT# where: #Q# is the heat; #m# is the mass; #c# is the specific heat; #DeltaT=T_f-T_i# is the difference in temperature. From literature we have: #c_("water")=4.18J/(g^@C)# So we have: #226xx10^3=400*4.18(T_f-20)# #T_f=155^@C#
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Answer 2

To find the final temperature, use the equation ( q = mc\Delta T ) where ( q ) is the heat absorbed, ( m ) is the mass of the substance, ( c ) is the specific heat capacity, and ( \Delta T ) is the change in temperature. Rearrange the equation to solve for ( \Delta T ), then add ( \Delta T ) to the initial temperature to find the final temperature. Given:

  • Mass (( m )) = 400 g
  • Initial temperature (( T_i )) = 20°C
  • Heat absorbed (( q )) = 226 kJ
  • Specific heat capacity of water (( c )) = 4.18 J/g°C

( q = mc\Delta T ) ( \Delta T = \frac{q}{mc} )

( \Delta T = \frac{226000 \text{ J}}{400 \text{ g} \times 4.18 \text{ J/g°C}} ) ( \Delta T \approx 135.88 \text{°C} )

Final temperature (( T_f )) = Initial temperature (( T_i )) + ( \Delta T ) ( T_f = 20°C + 135.88°C ) ( T_f \approx 155.88°C )

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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