How many moles are in a balloon that is 31.5L, 755 mmHg and -22.0C?

1.51 mol

Explanation:

Given data:

Number of moles in balloon = ?

Volume = 31.5 L

Pressure = 755 mmHg (755/760 = 0.99 atm)

Temperature = -22°C

Solution:

Solution:

The given problem will be solve by using general gas equation,

PV = nRT

P= Pressure

V = volume

n = number of moles

R = general gas constant = 0.0821 atm.L/ mol.K  

T = temperature in kelvin

Now we will convert the temperature.

-22+273 = 251 K

0.99 atm × 31.5 L = n  × 0.0821 atm.L/ mol.K  × 251 K

31.19 atm.L = n × 20.607 atm.L/ mol

n = 31.19 atm.L / 20.607 atm.L/ mol

n = 1.51 mol