Did I do this problem correct Testbank Question 10C023 A sam

Did I do this problem correct?

Testbank, Question 10C.023 A sample of a gas was isolated in a gas containment bulb on a manifold used in this type work. The volume of the bulb was 1.524 liters. The temperature was 28.40°C, and the manifold pressure was 637.6 torr. What volume would this gas sample occupy at STP? 1.412 L O 1.158 L 1.645 L 1.069 L 2.006 L

Solution

First calculate mole of gas at given condition by using ideal gas equation

PV = nRT             where, P = atm pressure= 637.6 torr = 0.8389 atm,

V = volume in Liter = 1.524 L

n = number of mole = ?

R = 0.08205L atm mol^-1 K^-1 =Proportionality constant = gas constant,

T = Temperature in K = 28.40⁰C = 273.15+ 28.40 = 301.55 K

We can write ideal gas equation

n = PV/RT

Substitute the value

n = (0.8389X 1.524)/(0.08205 X 301.55) = 0.05167 mole

mole of gas = 0.05167 mole

now calculate volume of gas at STP by using ideal gas equation

at STP, P = 1 atm and T = 273.15 K

We know that PV = nRT

V = nRT/P

n = 0.05167 mole,

T = 273.15K,

P= 1 atm,

R = 0.08205 L atm mol^-1 K^-1 ( R = gas constant)

V = ?

Substitute these value in above equation.

V = (0.05167 X 0.08205 X 273.15)/1 = 1.158 L

Ans - 1.158 L

your answer is correct.