Question

AT 27°c one mole of an ideal gas is compressed
isothermally and reversibly from a pressure of 2 atm to
10 atm. The values of AU and q are (R = 2 cal K-7 mol-)​

Answer 1

$\huge\underline{\underline{\sf \red{Correct\: Question}:}}$

AT 27°c one mole of an ideal gas is compressed isothermally and reversibly from a pressure of 2 atm to 10 atm. The values of E and q are.

$\Large\underline{\underline{\sf Given:}}$

• Temperature (T) = 27°C or 300K

• Pressure compressed for 2atm to 10atm.

• Number of moles (n) = 1 mole

$\Large\underline{\underline{\sf To\:Find:}}$

• Value of E and q .

$\Large\underline{\underline{\sf Formula\:Used:}}$

${\boxed{\boxed{\sf \pink{W=2.303nRTlog\dfrac{P_2}{P_1}}}}}$

${\boxed{\boxed{\sf \pink{\triangle E=q+W}}}}$

$\Large\underline{\underline{\sf Solution:}}$

$\implies{\sf W=2.303×1×2×300×log\dfrac{10}{2}}$

$\implies{\sf 2.303×600×log5}$

$\implies{\sf 965.84\:cal }$

at constant temperature ∆E = 0

E = q + W

0 = q + W

q = - W

q = - 965.84 cal

$\Large\underline{\underline{\sf Answer:}}$

⛬ Value of ∆E = 0 , and q = -965.84 cal