Question 430: Thermodynamics & KTG

Question

One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, ${27^ \circ }C.$ The work done on the gas will be :

Accepted Answer

We know,
Work done on gas = nRT $\ell $n $\left( {{{{P_f}} \over {{P_i}}}} ight)$
Given P
f
= 2P
i
T = 27 + 273 = 300 K
and for monoatomic gas,  n = 1.
$	herefore\,\,\,\,$ Work done = 1 $ 	imes $R $ 	imes $300 $\ell $n(2)
= 300 R $\ell $n(2)

Answer

$300$ $R$

Answer

$300$ $R$ $ln$ $6$

Answer

$300$ $R$ $ln$ $2$

Answer

$300$ $R$ $ln$ $7$

Thermodynamics & KTG

One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, {27^ \circ }C. The work done on the gas will be :

Choose the correct answer: