Question

A vertical cylindrical vessel separated in two parts by a frictionless piston free to move along the length of a vessel. The length of vessel is 90 cm and the piston divides the cylinder in the ratio 2 : 1. Each of the two parts contain 0.1 mole of an ideal gas. The temperature of the gas is ${27}^o$C in each part. The mass of the piston is

• A. 41.5 kg
• B. 8.97 kg
• C. 9.57 kg
• D. 11.57 kg

Answer 1

Answer: (A)

41.5 kg

$PV=nRT$
$P=nRT/V$
$PA=nRT/l$
$PA=0.1\times 8.31\times 300/0.6$
$PA=41.5N$
Therefore option(A) is correct.