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Understanding STP: Calculating Gas Volumes at 0°C and 1 ATM

Chapter 11, Problem 83P

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QUESTION:

Calculate the volume of each gas sample at STP.

(a) 22.5 mol \(\mathrm{Cl}_{2}\)

(b) 3.6 mol nitrogen

(c) 2.2 mol helium

(d) 27 mol \(\mathrm{CH}_{4}\)

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Understanding STP: Calculating Gas Volumes at 0°C and 1 ATM
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Discover the fundamental concept of Standard Temperature and Pressure (STP) and its relevance in determining the volume of different gases. Learn to calculate gas volumes at STP using real-life examples of Chlorine, Nitrogen, Helium, and Methane. Grasp essential chemistry concepts seamlessly with practical demonstrations.

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Questions & Answers

QUESTION:

Calculate the volume of each gas sample at STP.

(a) 22.5 mol \(\mathrm{Cl}_{2}\)

(b) 3.6 mol nitrogen

(c) 2.2 mol helium

(d) 27 mol \(\mathrm{CH}_{4}\)

ANSWER:

Step 1 of 4

Here, we are going to calculate the volume of each gas at STP.

 At STP, 1 mol of any gas =22.4 L

(a) \(22.5 \mathrm{~mol} \ \mathrm{Cl}_{2}\)

Thus, \(1.0 \mathrm{~mol} \text { of } \mathrm{Cl}_{2}\) gas at STP = 22.4 L

\(22.5 \mathrm{~mol}\ \mathrm{Cl}_{2}\) gas at \(\mathrm{STP}=22.5 \mathrm{~mol} \times \frac{22.4 \mathrm{~L}}{1.0 \mathrm{~mol}}=504.0 \mathrm{~L}\)

\(22.5 \mathrm{~mol} \ \mathrm{Cl}_{2} \text { has volume at STP }=504 \mathrm{~L}\)

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