A closed vessel having capacity 200 mL is filled with hydrogen gas at STP. Calculate (i) Number of moles of hydrogen gas filled in the vessel. (ii) Pressure of hydrogen gas in the vessel at 273°C. (iii) Root mean square velocity of hydrogen gas at STP. (iv) The value of Cp and Cv for hydrogen gas.
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Solution:
(i) At standard temperature and pressure (STP) one mole of hydrogen gas occupies
22.4L. Then, we can compose a proportion (because the vessel is filled with hydrogen
gas at STP ):
1 mole of H2 − 22.4l
n miles of H2 − 200ml
From the proportion we obtain:
n =
200 ∙ 10−3L ∙ 1mole
22.4L
= 0.0089moles
(i) At standard temperature and pressure (STP) one mole of hydrogen gas occupies
22.4L. Then, we can compose a proportion (because the vessel is filled with hydrogen
gas at STP ):
1 mole of H2 − 22.4l
n miles of H2 − 200ml
From the proportion we obtain:
n =
200 ∙ 10−3L ∙ 1mole
22.4L
= 0.0089moles
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