Question

chemistry 20
final exam 2025
name: editesam
gases
use the following information to answer the next question.
a welder completing a job requires a total amount of 4000l of oxygen gas, delivered at 1.5 atm and 22°c. the manufacturer produces 30l tanks and fills the tanks with oxygen at a temperature of 15°c

1. based on the information above, the pressure that the oxygen tank must be filled at is a be × 10^d kpa.

the values of a, b, c and d respectively are__,,, and__
(record your 4 - digit answer in the numeric response section of the answer sheet)
your answer:
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Explanation:

Step1: Use the combined gas law

The combined gas law is \(\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\). Here, \(V_1 = 4000L\), \(P_1=1.5atm\), \(T_1=(22 + 273)K=295K\), \(V_2 = 30L\), \(T_2=(15+273)K = 288K\).

Step2: Rearrange the formula to solve for \(P_2\)

\(P_2=\frac{P_1V_1T_2}{V_2T_1}\)
Substitute the values: \(P_2=\frac{1.5\times4000\times288}{30\times295}\)
First, calculate the numerator: \(1.5\times4000\times288=1.5\times1152000 = 1728000\)
Then, calculate the denominator: \(30\times295 = 8850\)
\(P_2=\frac{1728000}{8850}\approx195.2542\)
Since \(1atm = 101.325kPa\), \(P_2=195.2542\times101.325\approx1.98\times 10^{4}kPa\)

Answer:

198