Eva pumps up her bicycle tire until it has a gauge pressure of 413 kilopascals. If the surrounding air is at standard pressure, what is the absolute pressure in the bicycle tire?

514 kPa

Explanation:

Given that:-

Gauge pressure = 413 kPa

Also, considering atmospheric pressure = 101.325 kPa

The absolute pressure of the tire is equal to the sum of the gauge pressure and atmospheric pressure. So, the expression is:-

Absolute pressure = Gauge pressure + Atmospheric pressure

Applying the values in the above equation as:-

Absolute pressure = 413 kPa + (101.325 kPa = 514.325 kPa ≅ 514 kPa

Thus, absolute pressure in bicycle tire is: - 514 kPa

The tire pressure is the sum of gauge pressure and the standard pressure of atmospheric pressure

We know that the standard air pressure of surrounding = 101.325 kPa

The given gauge pressure = 413 kPascal

So the tire pressure = 101.325 kPa + 413 = 514.325 K Pa

We can also convert the given pascals to atmosphere or Torr or mmHg or bar