Respuesta :
The final temperature if the water was initially at 23.3 degrees is calculated as using Q =Mc delta T
Q(heat)= 347 Kj
M=mass(42 Kg)
C=specific heat capacity of water( 4.187 Kj/Kg/K)
delta T is the change in temperature
347 Kj = 42 Kg x 4.187 Kj/ Kg/K x delta T
347Kj= 175.854 Kj/K x delta T
divide both side by 175.854 Kj k
347kj/175.854 kjk=175.854/175.854 x delta T
1.973 = delta T
if the initial temperature is 23.2 and delta T is 1.973 therefore final temperature = 1.973 +23.2=25.173 degrees
Q(heat)= 347 Kj
M=mass(42 Kg)
C=specific heat capacity of water( 4.187 Kj/Kg/K)
delta T is the change in temperature
347 Kj = 42 Kg x 4.187 Kj/ Kg/K x delta T
347Kj= 175.854 Kj/K x delta T
divide both side by 175.854 Kj k
347kj/175.854 kjk=175.854/175.854 x delta T
1.973 = delta T
if the initial temperature is 23.2 and delta T is 1.973 therefore final temperature = 1.973 +23.2=25.173 degrees
Whenever we deal with the problems for checking the amount of heat lost or gained(absorbed) by the fluid, we use the following equation:
[tex]Q = m * C_{p} * dT[/tex] --- (A)
Where,
Q = The amount of heat lost or gained(absorbed) by the fluid
m = Mass of the fluid
[tex]C_{p}[/tex] = Heat Capacity of the fluid
[tex]dT[/tex] = Change in Temperature = Final Temperature([tex]T_{f}[/tex]) - Initial Temperature([tex]T_{i}[/tex])
Data given:
Initial Temperature = [tex]T_{i}[/tex] = 23.2°C
The amount of heat absorbed by the water = 347 kJ
Mass of the water = m = 42 kg
Heat Capacity of water = [tex]C_{p}[/tex] = 4.184 kJ/kg°C
Final Temperature = [tex]T_{f}[/tex] = ?
Plug-in the values in equation (A)
(A) => 347 = 42 * 4.184 * ([tex]T_{f}[/tex] - 23.2)
=> [tex]T_{f}[/tex] ≈ 25.175°C
Ans: The final temperature of water ≈ 25.175°C
-i
[tex]Q = m * C_{p} * dT[/tex] --- (A)
Where,
Q = The amount of heat lost or gained(absorbed) by the fluid
m = Mass of the fluid
[tex]C_{p}[/tex] = Heat Capacity of the fluid
[tex]dT[/tex] = Change in Temperature = Final Temperature([tex]T_{f}[/tex]) - Initial Temperature([tex]T_{i}[/tex])
Data given:
Initial Temperature = [tex]T_{i}[/tex] = 23.2°C
The amount of heat absorbed by the water = 347 kJ
Mass of the water = m = 42 kg
Heat Capacity of water = [tex]C_{p}[/tex] = 4.184 kJ/kg°C
Final Temperature = [tex]T_{f}[/tex] = ?
Plug-in the values in equation (A)
(A) => 347 = 42 * 4.184 * ([tex]T_{f}[/tex] - 23.2)
=> [tex]T_{f}[/tex] ≈ 25.175°C
Ans: The final temperature of water ≈ 25.175°C
-i