The pressure of a gas varies inversely with its volume . If the pressure is 800 Pa when the volume is 2 liters, find the pressure when the volume is increased to 8 liters. The pressure is Pa.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to apply the concept of inverse variation to a real-world scenario involving gas pressure and volume.
Key Concept Explanation
In an inverse variation, the product of the two variables is constant. Here, .
Step-by-step Solution
1. Identify the constant : Since varies inversely with , we have . Given Pa when liters, we can find as follows:
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