A) 2 moles of helium occupying \[1{{m}^{3}}\]at 300 K
B) 56 kg of nitrogen at \[107N{{m}^{-2}}\] and 300 K
C) 8 grams of oxygen at 8 atm and 300 K
D) \[6\times {{10}^{26}}\] molecules of argon occupying \[40{{m}^{3}}\] at 900 K
Correct Answer: B
Solution :
\[\Delta U=\mu {{C}_{V}}\Delta T=\frac{m}{M}{{C}_{V}}\Delta T=\frac{N}{{{N}_{A}}}{{C}_{V}}\Delta T\] Þ\[{{(\Delta U)}_{N}}=\frac{56\times {{10}^{3}}}{14}\times \frac{5}{2}R\times 300\] and \[{{(\Delta U)}_{A}}=\frac{6\times {{10}^{26}}}{6\times {{10}^{23}}}\times \frac{3}{2}R\times 900\Rightarrow {{(\Delta U)}_{N}}>{{(\Delta U)}_{A}}\]
You need to login to perform this action.
You will be redirected in
3 sec
