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)

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 =   = 0.21m³

8 m/s because for him to get the same amount of energy as ray is putting out, bobby, who weighs half as much as ray, needs to run twice as fast.

the answers would be

the first one and the second one