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The pressure gauges on two cylinders of equal volume both show the same pressure reading. Cylinder A is at 23 degrees Celsius and Cylinder B is at -10 degrees Celsius. What is a possible explanation for the same pressure reading?

User KrOoze
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Final answer:

Two cylinders at different temperatures can have the same pressure reading because the ideal gas law allows for variations in the number of moles of gas to compensate for temperature differences.

Step-by-step explanation:

Two cylinders of equal volume are observed to have the same pressure readings despite one being at 23 degrees Celsius and the other at -10 degrees Celsius. A possible explanation for this phenomenon is based on the ideal gas law, which states that pressure (P), volume (V), and temperature (T) are related by the equation PV=nRT, where n represents the number of moles of gas and R is the ideal gas constant. Since the volume and pressure are constant, for the pressure to be the same even though the temperatures are different, cylinder A must have fewer moles of gas than cylinder B. This is because the higher temperature in cylinder A would increase the pressure, but with fewer moles of gas, the overall pressure can stabilize and match that of cylinder B, which is at a lower temperature and possibly contains more moles of gas.

Another key point is the difference between gauge pressure and absolute pressure. Gauge pressure typically measures the pressure of a system compared to the local atmospheric pressure; if the gauge pressure is the same, it does not necessarily mean that the absolute quantities of gas and temperature are the same. Factors such as the amount of substance and the specific heat capacities of the gases could also play a role if we assume a more complex scenario beyond the ideal gas approximation.

User Mansinh
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