Question

a group of scientists were running an experiment in the lab. they thought they got all the data they needed, but unfortunately forgot to record the volume. given that the pressure was 1.7 atm, the number of moles was 2, and the temperature was 297 k, solve for the volume. (use ( r = 0.0821 , (l cdot atm)/(mol cdot k) )).
a 40.8 l
b 28.7 l
c 22.4 l
d 62.9 l

Explanation:

Step1: Write the ideal gas law formula

The ideal gas law is \(PV = nRT\). We need to solve for \(V\), so we can rewrite the formula as \(V=\frac{nRT}{P}\).

Step2: Substitute the given values into the formula

Given \(n = 2\space mol\), \(R=0.0821\space (L\cdot atm)/(mol\cdot K)\), \(T = 297\space K\), and \(P=1.7\space atm\).
Substitute these values into \(V=\frac{nRT}{P}\):

$$
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$$

Step3: Calculate the value of \(V\)

\(V=\frac{48.7314}{1.7}\approx28.7\space L\)

Answer:

B. 28.7 L