Water enters a boiler at 68 degrees Fahrenheit ['F] The boiler operates for 5 minutes [min] to heat 25 gallons [gal] of water using 5000 British Thermal Units [BTU] of energy. The specific heat capacity of water is 4.180 kilojoules per kilogram kelvin kJ [kg K What is the final temperature in degrees Fahrenheit ['F] of the water as it exits the boiler?

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Water enters a boiler at 68 degrees
Fahrenheit
[F]
The boiler operates for 5 minutes
[min]
to heat 25 gallons
[gal]
of water using 5000 British Thermal Units
[BTU]
of energy.
The specific heat capacity of water
4.180
kilojoules per kilogram kelvin
kJ
What is the final temperature in degrees
Fahrenheit
['F]
of the water as it exits the boiler?
Transcribed Image Text:Water enters a boiler at 68 degrees Fahrenheit [F] The boiler operates for 5 minutes [min] to heat 25 gallons [gal] of water using 5000 British Thermal Units [BTU] of energy. The specific heat capacity of water 4.180 kilojoules per kilogram kelvin kJ What is the final temperature in degrees Fahrenheit ['F] of the water as it exits the boiler?
P Determine the energy (@) vequived to heat
a
cup
of coffee in units of joules [J].
RQ= m cp AT
AT= TA - Ti
%3D
OM: 0.7 kg
Cp = 4.18 Te Te = 85°C
Ti= 40°C
m= 0.7 yal 1000 q =
700g
AT: Tp- Ti = 8°C - 40°C = 45°C
Q = m Cp AT = (700 8X4.1845 2)
%3D
E
Q = 131670 J
%3D
Transcribed Image Text:P Determine the energy (@) vequived to heat a cup of coffee in units of joules [J]. RQ= m cp AT AT= TA - Ti %3D OM: 0.7 kg Cp = 4.18 Te Te = 85°C Ti= 40°C m= 0.7 yal 1000 q = 700g AT: Tp- Ti = 8°C - 40°C = 45°C Q = m Cp AT = (700 8X4.1845 2) %3D E Q = 131670 J %3D
Expert Solution
Step 1

Given data

  • The initial temperature of the water entering the boiler is given as Ti=68°F.
  • The time boiler operates is given as t = 5 min.
  • The volume of the water is given as V = 25 gallons.
  • The power utilized by the water is given as P = 5000 BTU.
  • The specific heat capacity of water is C = 4.180 kJ/kg.K.

The final temperature in degrees Fahrenheit is calculated as,

P=mcTtP=mcTf-Tit

Here, m is the mass of the water.

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