What is the change in internal energy?

A paddle wheel is used for stirring a liquid contained in a tank supplied 6000 kJ of work and during the stirring operation the tank lost 1500 kJ of heat to the surroundings.If the tank and liquid are considered as a system what will be its change in internal energy.

Asked on 29th September 2019 in Propulsion.
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     First law of thermodynamics tells that 

    \[dQ=du+dW\]

    Therefore

    \(-1500=du-6000
    \\\Rightarrow du=6000-1500
    \\\Rightarrow du=4500\;kJ\)

    So change in internal energy of the system is 4500 kJ

    Answered on 29th September 2019.
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