QuestionJune 21, 2025

What is the pressure (in atm) in a 325 L tank containing 32 mol of argon gas at 45^circ C 02.6 atm 0.36 atm 19 atm 4.0 atm 27 atm

What is the pressure (in atm) in a 325 L tank containing 32 mol of argon gas at 45^circ C 02.6 atm 0.36 atm 19 atm 4.0 atm 27 atm
What is the pressure (in atm) in a 325 L tank containing 32 mol of argon gas at 45^circ C
02.6 atm
0.36 atm
19 atm
4.0 atm
27 atm

Solution
4.4(305 votes)

Answer

2.6 atm Explanation 1. Convert Temperature to Kelvin T(K) = 45^{\circ}C + 273.15 = 318.15 \, K 2. Use Ideal Gas Law **PV = nRT**, where R = 0.0821 \, \text{L atm/mol K} 3. Solve for Pressure (P) P = \frac{nRT}{V} = \frac{32 \times 0.0821 \times 318.15}{325} 4. Calculate the Value P \approx 2.6 \, \text{atm}

Explanation

1. Convert Temperature to Kelvin<br /> $T(K) = 45^{\circ}C + 273.15 = 318.15 \, K$<br /><br />2. Use Ideal Gas Law<br /> **$PV = nRT$**, where $R = 0.0821 \, \text{L atm/mol K}$<br /><br />3. Solve for Pressure (P)<br /> $P = \frac{nRT}{V} = \frac{32 \times 0.0821 \times 318.15}{325}$<br /><br />4. Calculate the Value<br /> $P \approx 2.6 \, \text{atm}$
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