21. Kinetic Theory of Ideal Gases
The Ideal Gas Law
60PRACTICE PROBLEM
A teacher placed a cylinder with a length of 1.0 m and cross-sectional area A in contact with the surface of a large tank filled with oil of density 950 kg/m3. The upper part of the cylinder is sealed. She slowly moves the cylinder until its upper part is level with the oil's surface. The oil would start to fill the cylinder, compressing the air column inside. The oil inside the cylinder stops at a distance of h from its upper part, as shown below. Calculate h.
![](data:image/png;base64,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)
A teacher placed a cylinder with a length of 1.0 m and cross-sectional area A in contact with the surface of a large tank filled with oil of density 950 kg/m3. The upper part of the cylinder is sealed. She slowly moves the cylinder until its upper part is level with the oil's surface. The oil would start to fill the cylinder, compressing the air column inside. The oil inside the cylinder stops at a distance of h from its upper part, as shown below. Calculate h.