A Cylinder Is Fitted with a Movable Piston

question 68

Multiple Choice

A cylinder is fitted with a movable piston. The pressure inside the cylinder is P_i and the volume is V_i. What is the new pressure in the system when the piston decreases the volume of the cylinder by half?

• A) 2V_iP_i
• B) 2P_i
• C) (1/4)P_i
• D) (1/2)P_i
• E) P_i²

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Definitions:

Mean

The arithmetic average of a set of numbers, calculated by adding them together and dividing by the count of the numbers.

Z-score

A numerical metric indicating how a specific value compares to the average of a dataset, expressed by the number of standard deviations away from that average.

Standard Deviation

An indicator of the spread or variability within a data set; where a small standard deviation indicates values closely clustered around the average, and a large standard deviation suggests they are widely scattered.

Z-score

A statistical measure that describes a value's position relative to the mean of a group of values, expressed in units of standard deviation.