The pressure to the nearest tenth at the time of the first measurement for this case was 1.82 atm approximately.
According to the Boyle's law, the pressure of a gas tends to drop as the capacity of the container increases. We can write it symbolically as:
[tex]P_1V_1 = P_2V_2[/tex]
where we have:
[tex]P_1[/tex] and [tex]V_1[/tex] are first pressure and first volume, and:
[tex]P_2[/tex] and [tex]V_2[/tex] are second pressure and second volume.
The complete question is:
" According to Boyle's law, PV = k, what was the pressure to the nearest tenth at the time of the first measurement given the following information?
V₁ = 7,450 mL, P₂ = 8.25 atm, V₂ = 1,645 mL"
So, using the Boyle's rule, we get:
[tex]P_1V_1 = P_2V_2\\\\P_1 = \dfrac{P_2V_2}{V_1}\\\\P_1 = \dfrac{8.25 \times 1645}{7450} \approx 1.82 \: \rm atm[/tex]
Thus, the pressure to the nearest tenth at the time of the first measurement for this case was 1.82 atm approximately.
Learn more about Boyle's rule here:
https://brainly.com/question/23715689
#SPJ1