Question

At $27℃$ , one mole of an ideal gas is compressed isothermally and reversibly from a pressure of $2$ atm to $10$ atm. The values of $\Delta \text{E}$ and $\text{q}$ are: $(R=2$ and $log5=0.698)$

• A. $0,-965.84cal$
• B. $-965.84cal,-865.58cal$
• C. $+865.58cal,-865.58cal$
• D. $0,-865.58cal$

Answer 1

Answer: (A)

$\text{W}=2.303\text{n}\text{R}\text{T }\text{log}\frac{{\text{p}}_2}{{\text{p}}_1}$
$=2.303\times 1\times 2\times 300\text{log}\frac{10}{2}=965.84$
At constant temperature, $\Delta \text{E}=0$
$\Delta \text{E}=\text{q}+\text{W}$ ;
$\text{q}=-\text{W}=-965.84\text{cal}$