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## Homework Statement

A can filled with nitrogen has pressure 10 Pa, volume 10 cm

^{3}, 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 n

_{1}=n

_{2}: ------> 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)

P

_{1}V

_{1}= nRT

_{1}

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