Which of the following has the same unit as pressure x volume (PV)?
- Density
- Work
- Force
- Atomspheric pressure
Explanation
The quantity with the same unit as pressure x volume (PV) is work.
Pressure (P) is measured in Pascals (Pa)
Volume (V) is measured in cubic meters (m^3)
When multiplied, these units give Joules (J), which is the unit of work
Therefore, PV represents work done or energy.
In the ideal gas law (PV = nRT), the product PV represents the work done by or on a gas.
This relationship is also seen in the formula for work: W = F * d, where F is force and d is distance.
Since pressure is force per unit area (P = F/A), PV can be considered equivalent to force times distance.
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