Allen Y. answered 04/11/20
UCLA grad looking to help students study better and efficiently
The ideal gas law is: PV = nRT (R=0.08206 L*atm/mol*K)
1) A reaction yields 0.00512 mol of O2 gas. What volume will the gas occupy if it is collected at 42.0◦C and 0.850 atm pressure?
n = 0.00512 mol O2
T = 42C+273K = 315K
P = 0.850atm
PV = nRT
(0.850atm)V=(0.00512 mol O2)(.08206 L*atm/mol*K)(315K)
0.85V=.1323
V=.1323/0.85
V=.156 L
2) Calculate the pressure exerted by a) 3.70 L of HF containing 2.35 mol at 350 K.
V=3.70L n=2.35mol T=350K
PV=nRT
P=(nRT)/V
P=(2.35mol)(.08206 L*atm/mol*K)(350K)/(3.70L)
P=18.2 atm
3) 3.90 L of NO2 containing 0.503 mol at 270 K.
V=3.90L n=0.503mol T=270K
P=(nRT)/V
P=[(0.503mol)(.08206 L*atm/mol*K)(270K)]/(3.90L)
P=2.86atm
4) 502 mL of CO2 containing 1.12 mol at 59.0◦C.
V=0.502L n=1.12mol T=273+59=332K
P=(nRT)/V
P=[(1.12mol)(.08206 L*atm/mol*K)(332K)]/(.502L)
P=60.8atm
5) A 7.87 L cylinder contains 1.61 mol of helium gas at 43◦C. What is the pressure of the gas in the cylinder?
V=7.87L n=1.61mol T=273+43=316K
P=(nRT)/V
P=[(1.61mol)(.08206 L*atm/mol*K)(316K)]/(7.87L)
P=5.30atm