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A system undergoes a process during which the heat transfer to the system per degree increase in temperature is given by the equation:
dQ/dT = 2 kJ/°C The work done by the system per degree increase in temperature is given by the equation dW/dT = 2 – 0.1 T, where T is in °C. If during the process, the temperature of water varies from 100°C to 150°C, what will be the change in internal energy?
  • a)
    125 kJ
  • b)
    –250 kJ
  • c)
    625 kJ
  • d)
    –1250 kJ
Correct answer is option 'C'. Can you explain this answer?
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This means that for every degree increase in temperature, the system absorbs 2 kJ of heat. The heat transfer rate is proportional to the temperature change, so if the temperature increases by 2 degrees, the heat transfer will be 4 kJ. Similarly, if the temperature decreases by 1 degree, the system will release 2 kJ of heat. This equation can be used to calculate the total amount of heat transferred during a process by integrating over the temperature range.
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A system undergoes a process during which the heat transfer to the system per degree increase in temperature is given by the equation:dQ/dT = 2 kJ/°C The work done by the system per degree increase in temperature is given by the equation dW/dT = 2 – 0.1 T, where T is in °C. If during the process, the temperature of water varies from 100°C to 150°C, what will be the change in internal energy?a)125 kJb)–250 kJc)625 kJd)–1250 kJCorrect answer is option 'C'. Can you explain this answer?
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