Arrangement with a respiratory mask and an intermediate piece, and methods for operating such an arrangement

An arrangement comprising:

• a respiratory mask with a respiratory mask coupling point;
• a breathing air source with a breathing air source coupling point,
• an intermediate piece;
• and
• a pressure sensor;
• wherein the intermediate piece comprises a device-side coupling point and a mask-side coupling point and provides a fluid connection between the device-side coupling point and the mask-side coupling point;
• wherein the pressure sensor is configured to measure a pressure at a measuring position;
• wherein the measuring position of the pressure sensor is located in the fluid connection provided by the intermediate piece;
• wherein the respiratory mask is configured to rest against a user's face;
• wherein the breathing air source is configured to provide breathing air;
• wherein the device-side coupling point is configured to be detachably connected to the breathing air source coupling point;
• wherein the mask-side coupling point is configured to be detachably connected to the respiratory mask coupling point;
• wherein the breathing air source coupling point is configured to be detachably connected to the respiratory mask coupling point;
• wherein, if the device-side coupling point is connected to the breathing air source coupling point and the mask-side coupling point is connected to the respiratory mask coupling point, a first fluid connection from the breathing air source to the respiratory mask is established and the first fluid connection passes through the intermediate piece;
• and
• wherein, if the breathing air source coupling point is connected to the respiratory mask coupling point, a second fluid connection from the breathing air source to the respiratory mask is established.