Question

what is the name of the instrument that directly measures the pressure of a gas?
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question 16
4 points
if the pressure of a gas sample is tripled and the absolute temperature is quadrupled, by what factor will the volume of the sample change?
a 2
b 3/4
c 4/3
d 1/2
question 17
4 points
a beaker contains 115 g of ethanol at 18.2°c. if the ethanol absorbs 1125 j of heat without losing heat to the surroundings, what will be the final temperature (in °c ) of the ethanol? the specific heat of ethanol is 2.46 j/g°c.
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Explanation:

Step1: Use the ideal gas law

The ideal gas law is \(PV = nRT\). Let the initial pressure be \(P_1\), initial temperature be \(T_1\), initial volume be \(V_1\), final pressure be \(P_2 = 3P_1\), final temperature be \(T_2=4T_1\), and final volume be \(V_2\). From \(PV=nRT\), we can express \(V=\frac{nRT}{P}\).

Step2: Find the ratio of final and initial volumes

\(\frac{V_2}{V_1}=\frac{\frac{nRT_2}{P_2}}{\frac{nRT_1}{P_1}}\). Substitute \(P_2 = 3P_1\) and \(T_2 = 4T_1\) into the formula. Then \(\frac{V_2}{V_1}=\frac{T_2P_1}{T_1P_2}=\frac{4T_1\times P_1}{T_1\times3P_1}\)

Step3: Simplify the expression

Cancel out \(T_1\) and \(P_1\) in the fraction \(\frac{4T_1\times P_1}{T_1\times3P_1}\). We get \(\frac{V_2}{V_1}=\frac{4}{3}\)

Answer:

C. \(4/3\)