Question

what is the volume in cubic meter and in cubic decimeter of 2.0mol of nitrogen on gas at 1000c and 100,000pa? (R=8.31j/molk)​

Answer 1

Given parameters:

Number of moles of Nitrogen = 2.0mole

Temperature of the gas = 1000c

Pressure on the gas = 100000Pa

Gas constant R = 8.31J/molK = 0.082atmdm³mol⁻¹k⁻¹

Unknown:

Volume in cubic meter and cubic decimeter = ?

Solution:

The ideal gas law is given as;

PV = nRT

where P is the pressure on the gas

V is the volume of the gas

n is the number of moles

R is the gas constant

T is the temperature of the gas

Let us convert to appropriate units;

1000°C to K;

K = 1000 + 273 = 1273K

100000Pa to atm;

101325Pa = 1atm

100000Pa = 0.99atm

Input the parameters and solve for the unknown;

0.99 x V = 2 x 0.082 x 1273

V = 210.9dm³

to m³;

1000dm³ = 1m³

210.9dm³ =
`(210.9)/(1000)` = 0.21m³