Solving Pressure and Force in Gas Experiments

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Homework Help Overview

The discussion revolves around a physics problem related to gas behavior, specifically focusing on pressure, volume, and temperature relationships as described by the ideal gas law. The original poster presents multiple parts of an experiment involving pressure versus temperature, pressure versus volume, and the calculations of force in a syringe setup.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the ideal gas law and its application by suggesting manipulations of the equation to derive slopes and relationships between pressure and volume. There are questions about the correctness of these manipulations and the implications of temperature conversions.

Discussion Status

Participants are actively engaging with the problem, offering various interpretations of the ideal gas law and its application to the given scenarios. Some guidance has been provided regarding the manipulation of equations, but there is no explicit consensus on the best approach yet.

Contextual Notes

There are references to specific conditions such as temperature in Kelvin and varying initial volumes of air in the syringe, which may affect the calculations and interpretations of the results.

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Homework Statement



a) Suppose that in the experiment involving P vs. T, the slope of the graph of P vs. T is 235 Pa/L/ Determine the pressure of the gas at T = 0 degrees celsius.

b) The radius of the syringe is approximately 5 mm. Suppose that the pressure of the gas inside the syringe is 2.00 x 10^5 Pa. Determine the force exerted by the gas on the plunger and the force exerted by your hand on the plunger to hold it in equilibrium.

c) Two groups perform the part of the lab involving P vs. V but start with different volumes of air in the syringe. The temperatures of the gases are the same for both groups. Group A attached the pressure sensor when the volume of the syringe is 20 ml and group B when the volume is 10 ml. Using Eq. (1) determine an expression for the slope of these graphs. Identify which quantities in this expression are different for the two groups and use this to relate the slopes of the graphs of P vs. 1/V for the two groups.


Homework Equations


PV= nRT


The Attempt at a Solution

 
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You know the ideal gas law how about dividing it by V then you have the slope. Also the important part of this question is to calculate in K 0 deg cel. is 273.14K
 
So the equation I would use is PV = nRT/V ? Is this the right direction?
 
Try P=(nR/V) T.

The slope is (nR/V).
 

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