213k views
1 vote
A gas sample occupies 8.77 L at 20 degrees Celsius. What is the pressure in atm, given that there are 1.45 moles of gas in the sample?

User KenHBS
by
3.5k points

1 Answer

5 votes

3.88 atm is the pressure in atm, given that there are 1.45 moles of gas in the sample.

Step-by-step explanation:

Given that:

Volume of the gas sample V = 8.77 litres

temperature of the gas sample T = 20 degrees OR 293.15 K

number of moles of the gas = 1.45

R (Gas constant) = 0.08021 L.atm/mole K

Pressure of the gas = ?

The equation for ideal gas will be used here to calculate the pressure of the gas:

PV = nRT

the equation is rewritten as:

P=
(nRT)/(V)

P =
(1.45 X 0.08021 X 293.15)/(8.77)

P = 3.88 atm

1.45 moles of the gas at given conditions would have pressure of 3.88 atm.

User Ilya Volodin
by
3.8k points