When a sample of a gas was placed in a sealed container with a volume of 3.35L and heated to 105°C, the gas vaporized and the resulting pressure inside the container was 170.0kPa. How many moles of the gas was president?

181.12 moles

Explanation:

V = 3.35L

T = 105°C = (105 + 273.15)K = 378.15K

P = 170.0kPa = 170.0*10³Pa (1kPa = 1000Pa)

R = 8.314J /mol.K

n = ?

From ideal gas equation,

PV = nRT

P = pressure of the gas

V = volume of the gas

n = number of moles

R = ideal gas constant

T = temperature of the gas

PV = nRT

n = PV / RT

n = (170*10³ * 3.35) / (8.314 * 378.15)

n = 569500 / 3144.317

n = 181.12 moles

220 N * m or 220 J

Step-by-step explanation:

We have that the work formula would be the applied force multiplied by the distance traveled, that is:

W = F * d

In this case the F is 200 N and the distance is 1.1 meters, therefore we replace:

W = 200 * 1.1

W = 220 N * m = 220 J

Therefore the work carried out by Clarissa and her mom is 200 joules.