Question 487: 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: