A thermally insulated rigid container contains an ideal gas. It is heated through a resistance coil of 100Ω by passing a current of 1 A for five minutes, then the change in internal energy of the gas is:
Correct answer: D. 30 kJ
- A. 0 kJ
- B. 10 kJ
- C. 20 kJ
- D. 30 kJ
Explanation
Heat energy supplied to the Ideal gas = I2RtHeat energy supplied to the Ideal gas = 12x100x5x60Heat energy supplied to the Ideal gas = 30,000JHeat energy supplied to the Ideal gas = 30 kJChange in Internal Energy = work done on the system + heat energy suppliedChange in Internal Energ = 0 + 30 kJChange in Internal Energ = 30 kJ
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About First Law of Thermodynamics
The first law relates heat supplied, work done and the change in internal energy through energy conservation. Problems use sign conventions and apply the law to isothermal, adiabatic, isobaric and isochoric processes. Internal energy is a state function, while heat and work depend on the path followed.
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