Question

Given each of the following sets of values for an ideal gas, calculate the unknown quantity.
a) P = 773 mm Hg; n = 0.240 mol; T = 25 C. What is the volume (in L)?

b) V = 635 mL; n = 0.0947 mol; T = 309 K. What is the pressure (in mm Hg)?

c) P = 727 mm Hg; V = 13.3 L; n = 0.393 mol. What is the temperature (in K)?

Answer 1

Answer:

a. 5.77L

b. 700mmHg

c. 395K

Explanation:

Using PV = nRT we can solve these problems where:

P is pressure of the gas in atm (1atm = 760mmHg)

V is volume in liters

n are moles of the gas

R is gas constant: 0.082atmL/molK

T is asbolute temperature in K

a. PV = nRT

V = nRT/P

P = 773mmHg*(1atm/760mmHg) = 1.017atm

T = 25°C+273 = 298K

V = 0.240mol*0.082atmL/molK*298K / 1.017atm

V = 5.77L

b. PV = nRT

P = nRT/V

P = 0.0947mol*0.082atmL/molK*309K/0.635L

P = 0.9216atm * (760mmHg/1atm) = 700mmHg

c. PV = nRT

PV/nR = T

P = 727mmHg * (1atm / 760mmHg) = 0.9566atm

0.9566atm*13.3L/0.393mol*0.082atmL/molK = T

T = 395K