Liquid discharge apparatus and cartridge

A liquid discharge apparatus comprising:

• an installation case configured to receive a cartridge, the cartridge including:
• a first liquid chamber storing a liquid;
• a first flow path, one end of the first flow path communicated with the first liquid chamber, the other end of the first flow path communicated with the outside;
• and
• a second flow path, one end of the second flow path communicated with the first liquid chamber, the other end of the second flow path being configured to communicate with the outside;
• a tank including:
• a second liquid chamber;
• a third flow path, one end of the third flow path communicated with the outside, the other end of the third flow path communicated with the second liquid chamber, at least one of the first flow path and the third flow path configured to communicate with the first liquid chamber and the second liquid chamber;
• a fourth flow path, one end of the fourth flow path being below the other end of the third flow path and communicated with the second liquid chamber;
• and
• a fifth flow path, one end of the fifth flow path communicated with the second liquid chamber, the other end of the fifth flow path communicated with the outside;
• a head communicated with the other end of the fourth flow path;
• an apparatus memory storing a liquid amount Vc and a liquid amount Vs, the liquid amount Vc indicating amount of liquid stored in the first liquid chamber, the liquid amount Vs indicating amount of the liquid stored in the second liquid chamber;
• and
• a controller configured to:
• receive a discharge instruction to discharge a liquid;
• based on the received discharge instruction, discharge the liquid through the head;
• determine a discharge amount Dh of the liquid indicated in the discharge instruction;
• based on the determined discharge amount Dh, calculate an outflow amount Qa indicating amount of the liquid flowed out from the fourth flow path toward the head for a time period Δt during which the liquid is discharged through the head;
• based on the calculated outflow amount Qa calculate an outflow amount Qc indicating amount of the liquid flowed out from the first liquid chamber toward the second liquid chamber for the time period Δt;
• based on the calculated outflow amount Qc and the liquid amount Vc read out from the apparatus memory
• calculate a new liquid amount Vc;
• based on the calculated outflow amount Qa, the liquid amount Vs read out from the apparatus memory and the calculated outflow amount Qc, calculate a new liquid amount Vs;
• and
• update the liquid amount Vc and the liquid amount Vs stored in the apparatus memory with the calculated new liquid amount Vc and the calculated new liquid amount Vs.