Helium gas occupies a volume of 0.04 m

3
at a pressure of 2 x
10
5
Pa (Nm
-2
) and temperature of 300 K.
Calculate
(i) the mass of the helium.
(ii) the r.m.s. speed of its molecules.
(iii) the r.m.s. speed at 432 K when the gas is heated at constant
pressure to this temperature.
(iv) the r.m.s. speed of hydrogen molecules at 432 K.

4 answers

Ideal gas Law:
P*V=m*R*T

Found R online:
R=specific gas constant = 2.08 kJ/(kg*K)

i) m= PV/RT

ii) RMS formula:
U=(3*R*T)^(1/2)

R=specific gas constant
T=Temperature in kelvin

iii) apply same concept in ii)

iv) R_hydrogen = 4.124
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Helium gas occupies a volume of 0.04m3 meter m2 at a pressure of 2multiply 10^-5 pa(Nm-2)
Calculate A the mass of the helium
The root mean square (r.m.s)speed of its molecules