A hydrogen gas is contained in a cylinder with a volume of 2.50 × 10¯³ m³ at atmospheric pressure. The gas and cylinder are at a thermal equilibrium of 30.0 °C. Assume that the hydrogen gas obeys the behaviors of monatomic ideal gas and the molar mass of hydrogen, Mmolar (H2) is 2.00 g mol¯!. (a) Calculate the number of moles of the hydrogen gas in the cylinder. Show that the r.m.s. speed of an ideal gas with a molar mass, Mmolar and at temperature T, can be given by (b) 3RT V rms M molar where R is the universal gas constant. Use the equation obtained in Q3. (b) to find the molecular r.m.s. speed of the hydrogen gas. (c)

Elements Of Electromagnetics
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A hydrogen gas is contained in a cylinder with a volume of 2.50 × 10³ m³ at
atmospheric pressure. The gas and cylinder are at a thermal equilibrium of 30.0 °C.
Assume that the hydrogen gas obeys the behaviors of monatomic ideal gas and the
molar mass of hydrogen, Mmolar (H2) is 2.00 g mol!.
(a)
Calculate the number of moles of the hydrogen gas in the cylinder.
(b)
Show that the r.m.s. speed of an ideal gas with a molar mass, Mmolar and at
temperature T, can be given by
3RT
V rms
=
M.
molar
where R is the universal gas constant.
(c)
Use the equation obtained in Q3. (b) to find the molecular r.m.s. speed of the
hydrogen gas.
Transcribed Image Text:A hydrogen gas is contained in a cylinder with a volume of 2.50 × 10³ m³ at atmospheric pressure. The gas and cylinder are at a thermal equilibrium of 30.0 °C. Assume that the hydrogen gas obeys the behaviors of monatomic ideal gas and the molar mass of hydrogen, Mmolar (H2) is 2.00 g mol!. (a) Calculate the number of moles of the hydrogen gas in the cylinder. (b) Show that the r.m.s. speed of an ideal gas with a molar mass, Mmolar and at temperature T, can be given by 3RT V rms = M. molar where R is the universal gas constant. (c) Use the equation obtained in Q3. (b) to find the molecular r.m.s. speed of the hydrogen gas.
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