- #1
songoku
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Homework Statement
A can filled with nitrogen has pressure 10 Pa, volume 10 cm3, and temperature 300 K.
(i) Find the volume at STP
(ii) Find the mass of the nitrogen
(iii) Find the change of pressure over temperature at 300 K
(iv) Find the energy of each molecule of nitrogen
Homework Equations
PV = nRT
The Attempt at a Solution
(i)
[tex]\frac{P_1 V_1}{P_2 V_2}=\frac{n_1 R T_1}{n_2 R T_2}[/tex]
Assuming n1=n2 : ------> Is this right ?
[tex]\frac{10*10}{10^5*V_2}=\frac{300}{273}[/tex]
[tex]V_2=2.73 x 10^{-3}\; m^3[/tex](ii)
P1V 1= nRT1
10*10-5=n *8.31* 300
n = 4.011 x 10-8 mole
m = n*Mr = 4.011 x 10-8*28 = 1.12308 x 10-6(iii) Is the question asking the change at 300 K compared to STP ?
[tex]\frac{\Delta P}{\Delta T}=\frac{P_2-P_1}{V_2-V_1}=\frac{10-10^5}{10^{-5}-2.73 x 10^{-3}}\approx 3.68 x 10^7 \frac{Pa}{m^3}[/tex] ??(iv)
[tex]E=\frac{3}{2}nRT[/tex]
Not sure about using T = 300 K or T = 273 K (STP)
Thanks