A cooling device for a closed-circuit respirator includes a device housing and a coolant arrangement. The device housing has a gas inlet, which is configured to admit a gas to be cooled into the device housing, and has a gas outlet, which is configured to let the gas admitted through the gas inlet into the device housing out of the device housing. The coolant arrangement is arranged in the device housing and the coolant arrangement has a first coolant with a first melting point T1 and a second coolant with a second melting point T2. The first coolant and the second coolant are arranged in the coolant arrangement such that no direct contact is possible between the first or second coolant and the gas being cooled. The first melting point T1 is different from the second melting point T2.