How many moles of gas are required to exert 15.4 atm of pressure in a 2.92 L container at 32.0°C

1.8 moles

Explanation:

Number of moles = ?

Pressure = 15.4 atm

Volume = 2.92L

Temperature = 32°C = (32 + 273.15) K = 305.15K

From ideal gas equation,

PV = nRT

P = pressure of the ideal gas

V = volume in which the gas occupies

n = number of moles

R = ideal gas constant = 0.082J/mol. K

T = temperature of the gas

PV = nRT

n = PV / RT

n = (15.4 * 2.92) / (0.082 * 305.15)

n = (44.968 / 25.0223)

n = 1.797 moles = 1.8 moles

Number of moles of the gas is 1.8 moles