Question 8 Learning Goal: To apply the ideal gas law to problems involving tempe

Question

Question 8 Learning Goal: To apply the ideal gas law to problems involving temperature, pressure, volume, and moles of a gas. The four properties of gases (pressure P, volume V, temperature T, and moles of gas n) are related by a single expression known as the ideal gas law: The variable R is known as the universal gas constant and has the value R 0.0821 L. atm/ mole. The units of R dictate the units for all other quantities, so when using this value of R, use units of atmospheres for pressure, liters for volume, and kelvins for temperature. Part A A balloon is floating around outside your window. The temperature outside is 5 C ,and the air pressure is 0.700 atm .Your neighbor, who released the balloon, tells you that he filled it with 4.40 moles of gas. What is the volume of gas inside this balloon? Express your answer to three significant figures and include the appropriate units. Vipalloon Value Units Submit Hints My Answers Give Up Review Part Part B A 14.0 L gas cylinde s filled with 10.0 moles of gas. The tan k is stored at 49 °C. What is the pressure in the tank? Express your answer to three significant figures and include the appropriate units. Pank Value Units Submit Hints My Answers Give Up Review Part

Explanation / Answer

Part A: Gas law can be written as PV= nRT

P= pressure in atm , V= volume in Liters, n= no of moles, T= temperature in K, R=0.0821 L.atm/mole.K

Given

T= 5+273= 278K, P=0.7 atm, n=4.4 moles         , R=0.0821 L.atm/mole.K

From gas law PV= nRT, V= nRT/P= 4.4*0.0821*278/0.7=143 L

Part B:

V= 14L, n=10moles, T= 49+273= 322 K,

P= nRT/V= 10*0.0821*322/14=18,883 atm               

Part C:

V= 260L, T= 865+273= 1138K, P=0.9 atm

No of moles, n= PV/RT= 0.9*260/(0.0821*1138)= 2.5 moles

Part D

V=14L, n=7.8 moles, P= 3.5 atm, T= PV/nR= 14*3.5/(0.0821*7.8)=76.51K

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.