Question

A steel cylinder at sea level contains air at a high pressure. Attached to the tank are two gauges, one that reads absolute pressure and one that reads gauge pressure. The tank is then brought to the top of a mountain.Which statement is true for the gauge that reads gauge pressure?

Select the correct answer

Both gauges will change by the same amount.

The pressure reading increases.

The pressure reading stays the same.

The pressure reading decreases.

Answer 1

The gauge pressure reading stay the same.

Step-by-step explanation:

it is known that altitude is inversely proportional to atmospheric pressure.

the atmospheric pressure decrease as height increases.

gauge pressure is determine by subtracting atmospheric pressure from absolute pressure(the total system pressure).

Pabs = Pg +Patm

gauge pressure is the pressure relative to atmospheric pressure

therefore, since atmospheric pressure kept decreasing at the mountain, the gauge will be the same but the absolute pressure will decrease.

this is so, because it is not stated if the cylinder is open or close, but, I assumed it is closed