Question:medium
At constant temperature, the product PV is plotted against pressure P for an ideal gas. The graph obtained is:
At constant temperature, the product PV is plotted against pressure P for an ideal gas. The graph obtained is:
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If the output is constant, the graph is a flat horizontal line.
Updated On: Jun 9, 2026
- Straight line parallel to P-axis
- Straight line with positive slope
- Straight line through origin
- Parabola
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
This question refers to Boyle's Law. Boyle's Law states that for a fixed mass of gas at constant temperature, the product of pressure and volume is constant.
Step 2: Key Formula or Approach:
Equation: \( PV = \text{constant} \) (at constant T). If we let \( y = PV \) and \( x = P \), the equation is \( y = C \).
Step 3: Detailed Explanation:
Since the product \( PV \) always results in the same value regardless of what the pressure \( P \) is (as long as temperature is constant), the value on the y-axis does not change as you move along the x-axis. In coordinate geometry, a graph where \( y \) is constant is a horizontal straight line.
Step 4: Final Answer:
The graph is a straight line parallel to the P-axis (horizontal line).
This question refers to Boyle's Law. Boyle's Law states that for a fixed mass of gas at constant temperature, the product of pressure and volume is constant.
Step 2: Key Formula or Approach:
Equation: \( PV = \text{constant} \) (at constant T). If we let \( y = PV \) and \( x = P \), the equation is \( y = C \).
Step 3: Detailed Explanation:
Since the product \( PV \) always results in the same value regardless of what the pressure \( P \) is (as long as temperature is constant), the value on the y-axis does not change as you move along the x-axis. In coordinate geometry, a graph where \( y \) is constant is a horizontal straight line.
Step 4: Final Answer:
The graph is a straight line parallel to the P-axis (horizontal line).
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