A non ideal battery is connected to resistor. is work done by the battery equal to thermal energy developed in the resistor ? Does your answer change if the battery is ideal ?

if the battery is nonideal,the work done by the battery is equal to the thermal energy developed in the resistor PLUS that developed in the battery due to its internal resistance. if the battery is ideal, the entire work done by the battery is dissipated as thermal energy developed in the resistor.