本题目来源于试卷: Particulate Nature of Matter B.3 Ideal Gas Model，类别为 IB物理学
[问答题]
1.A student investigates the variation of gas pressure with volume at a constant temperature. Air is trapped inside a gas syringe with a constant cross sectional area of $A$. The plunger of the gas syringe is tied to a mass holder. The student measures the volume $V$ of the trapped gas for different hanging masses with the external constant air pressure, $P_A$, remaining constant.
After each increase in mass, the student waits for some time to measure the volume of the gas. Outline why this is necessary.
The recorded data is plotted on a graph:
2.Draw the line of best fit for the plotted data.
3.Determine the gradient of the graph.
2.Theory suggests that$(P_A-\frac{mg}{A})V=k$
where m is the total mass of the plunger and hanging masses, g is the acceleration of free fall and k is a constant.
1.Determine the unit of $k$ in SI base units.
2.Calculate the percentage uncertainty of the volume $V$ when the mass m is $700\,g$.
3.In a particular experiment, the researcher measures
$m=0.700±0.005\,kg$
$A=0.00010±0.00001\,m^2$ and
$g=9.81±0.01\,ms^{−2}$
Calculate the absolute uncertainty of$\frac{mg}{A}$
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