Question

Find the number of moles of a certain ideal gas whose volume, temperature, and pressure are 3.00 L, 25.0 °C, and 2.00 atm, respectively.

Answer 1

In order to determine the number of moles, in the given conditions, use the following formula:

PV = nRT

Where:

P: preassure = 2.00 atm

T: temperature = 25.0°C

V: volume = 3.00L

R: ideal gas constant = 0.082 atm·L/mol·K

convert temperature to kelvin

25.0°C = 298.15 K

solve the equation for n, and replace the values of the other parameters:

n = PV/RT

n = (2.00 atm)(3.00L)/(0.082 atm·L/mol·K)(298.15 K)

n = 0.24 mol

Hence, there are 0.24 moles of the ideal gas in the given conditions